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Clear All Paging Command

Syntax

The clear all paging command uses the following syntax and takes no arguments:

clearAllPaging()

Function

The clear all paging command sets the page number to 1 and then calls clearAllFacetPaging().

Example - Using the clear all paging command

The following clear all paging command sets the page number to 1 and all facet field page numbers to 1:

s.pn=3&s.ps=10&s.q=mathematics&s.ff=ContentType,or,2,15&s.ff=SubjectTerms,and,3,20&s.cmd=clearAllPaging()

Example response

s.pn=3&s.ps=10&s.q=mathematics&s.ff=ContentType,or,2,15&s.ff=SubjectTerms,and,3,20&s.cmd=clearAllPaging()

{
  "version":"2.0.0",
  "sessionId":"test-application-74703",
  "elapsedQueryTime":10,
  "queryTime":521,
  "totalRequestTime":188,
  "pageCount":901338,
  "recordCount":9013372,
  "query":{
    "queryString":"s.secure=f&s.q=mathematics&s.ps=10&s.ff=SubjectTerms%2Cand%2C1%2C20",
    "pageNumber":1,
    "pageSize":10,
    "textQueries":[
      {
        "textQuery":"mathematics",
        "removeCommand":"removeTextQuery(mathematics)"
      }
    ],
    "searchTerms":[
      
    ],
    "textFilters":[
      
    ],
    "rangeFilters":[
      
    ],
    "facetValueFilters":[
      
    ],
    "inclusiveFacetValueFilters":[
      
    ],
    "facetValueGroupFilters":[
      
    ],
    "facetFields":[
      {
        "fieldName":"SubjectTerms",
        "combineMode":"and",
        "pageNumber":1,
        "pageSize":20,
        "removeCommand":"removeFacetField(SubjectTerms)"
      }
    ],
    "rangeFacetFields":[
      
    ],
    "sort":[
      
    ]
  },
  "facetFields":[
    {
      "fieldName":"SubjectTerms_mfacet",
      "displayName":"SubjectTerms",
      "combineMode":"and",
      "pageNumber":1,
      "pageSize":20,
      "hasLimitingValue":true,
      "hasAppliedValue":false,
      "removeCommand":"removeFacetField(SubjectTerms)",
      "listValuesCommand":"listFacetValues(SubjectTerms,and)",
      "removeValueFiltersCommand":"removeFacetValueFilter(SubjectTerms)",
      "counts":[
        {
          "value":"mathematics",
          "count":1672301,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,mathematics)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,mathematics:t)"
        },
        {
          "value":"mathematics, applied",
          "count":373450,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,mathematics\\, applied)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,mathematics\\, applied:t)"
        },
        {
          "value":"mathematical models",
          "count":261609,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,mathematical models)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,mathematical models:t)"
        },
        {
          "value":"studies",
          "count":249824,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,studies)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,studies:t)"
        },
        {
          "value":"article",
          "count":234521,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,article)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,article:t)"
        },
        {
          "value":"mathematical analysis",
          "count":231723,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,mathematical analysis)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,mathematical analysis:t)"
        },
        {
          "value":"algorithms",
          "count":220373,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,algorithms)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,algorithms:t)"
        },
        {
          "value":"analysis",
          "count":206778,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,analysis)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,analysis:t)"
        },
        {
          "value":"research",
          "count":191942,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,research)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,research:t)"
        },
        {
          "value":"education",
          "count":190408,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,education)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,education:t)"
        },
        {
          "value":"computer science",
          "count":180044,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,computer science)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,computer science:t)"
        },
        {
          "value":"physics",
          "count":168160,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,physics)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,physics:t)"
        },
        {
          "value":"statistics",
          "count":150130,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,statistics)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,statistics:t)"
        },
        {
          "value":"science",
          "count":142996,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,science)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,science:t)"
        },
        {
          "value":"history",
          "count":133374,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,history)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,history:t)"
        },
        {
          "value":"statistics & probability",
          "count":123914,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,statistics & probability)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,statistics & probability:t)"
        },
        {
          "value":"algebra",
          "count":118773,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,algebra)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,algebra:t)"
        },
        {
          "value":"applied mathematics",
          "count":114307,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,applied mathematics)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,applied mathematics:t)"
        },
        {
          "value":"mathematics, interdisciplinary applications",
          "count":114187,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,mathematics\\, interdisciplinary applications)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,mathematics\\, interdisciplinary applications:t)"
        },
        {
          "value":"mechanics",
          "count":112321,
          "isApplied":false,
          "isNegated":false,
          "isFurtherLimiting":true,
          "applyCommand":"addFacetValueFilters(SubjectTerms,mechanics)",
          "applyNegatedCommand":"addFacetValueFilters(SubjectTerms,mechanics:t)"
        }
      ]
    }
  ],
  "rangeFacetFields":[
    
  ],
  "didYouMeanSuggestions":[
    
  ],
  "recommendationLists":{
    "database":[
      {
        "link":"http://demo.summon.serialssolutions.com/2.0.0/link/dbrecommender/AAAWdGVzdC1hcHBsaWNhdGlvbi03NDcwMwEAClNBNURXOE1ROVgCAGBodHRwczovL2dvLm9wZW5hdGhlbnMubmV0L3JlZGlyZWN0b3IvcHMub3BlbmF0aGVucy5uZXQ_dXJsPWh0dHAlM0ElMkYlMkZ3d3cuYW1zLm9yZyUyRm1hdGhzY2luZXQDAAEwBAAKTWF0aFNjaU5ldAUACGRhdGFiYXNl",
        "description":"Database of reviews, abstracts and bibliographic information for much of the mathematical sciences literature",
        "title":"MathSciNet"
      }
    ]
  },
  "documents":[
    {
      "hasFullText":false,
      "isFullTextHit":false,
      "isPrint":false,
      "inHoldings":true,
      "availabilityId":"C7D 007820987",
      "openUrl":"ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.title=Mathematics&rft.au=Rooney%2C+David&rft.date=2016-01-01&rft.pub=Scala+Arts+%26+Heritage+Publisher+Ltd&rft.isbn=1785510398&rft.externalDocID=007820987",
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      "ExternalDocumentID":[
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      "Source":[
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      "IngestDate":[
        "Sat Oct 21 23:38:53 EDT 2017"
      ],
      "DBID":[
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      "PublicationDate_xml":[
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          "text":"2016."
        }
      ],
      "Score":[
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      ],
      "DatabaseTitleList":[
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      ],
      "CorporateAuthor_xml":[
        {
          "name":"Science Museum (Great Britain)"
        }
      ],
      "PublicationPlace":[
        "London, UK"
      ],
      "PublicationPlace_xml":[
        {
          "name":"London, UK"
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      "AbstractList":[
        "Mathematics is not just the product of lone geniuses dreaming up ideas remote from everyday life: real social, political and cultural problems drive developments in the subject, and the work of mathematical practitioners surrounds us everywhere we look. This lavishly illustrated book accompanies the Science Museum's landmark new Mathematics: The David and Claudia Harding Gallery due to open in autumn 2016. It includes an absorbing series of essays by world-leading experts in the history and modern practice of mathematics, alongside vivid accounts of mathematical work underpinning some of our most fundamental human concerns, from life and death to war and peace, money, trade, beauty and our attempts to control nature's most elemental forces. 'Mathematics' uses the world-class collections of the Science Museum to offer a vivid vision of the people behind 400 years of mathematical practice, driven by problems that affect us all."
      ],
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      ],
      "Author":[
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      ],
      "IsScholarly":[
        "false"
      ],
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      ],
      "Snippet":[
        "<h>Mathematics</h> is not just the product of lone geniuses dreaming up ideas remote from everyday life..."
      ],
      "Library":[
        "Duke Kunshan Library"
      ],
      "CorporateAuthor":[
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      ],
      "SubjectTermsDisplay":[
        "Mathematics.",
        "History.",
        "Mathematics -- History.",
        "Pictorial works.",
        "Mathematics -- History -- Pictorial works."
      ],
      "LCCallNum_Ident":[
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      ],
      "LCCallNum":[
        "QA21.R65 2016"
      ],
      "SubjectTerms":[
        "History",
        "Mathematics"
      ],
      "RelatedCompanies":[
        "Science Museum (Great Britain)"
      ],
      "Discipline":[
        "Mathematics"
      ],
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          "fullname":"Rooney, David"
        }
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        "9781785510397",
        "1785510495",
        "9781785510496"
      ],
      "Abstract":[
        "Mathematics is not just the product of lone geniuses dreaming up ideas remote from everyday life: real social, political and cultural problems drive developments in the subject, and the work of mathematical practitioners surrounds us everywhere we look. This lavishly illustrated book accompanies the Science Museum's landmark new Mathematics: The David and Claudia Harding Gallery due to open in autumn 2016. It includes an absorbing series of essays by world-leading experts in the history and modern practice of mathematics, alongside vivid accounts of mathematical work underpinning some of our most fundamental human concerns, from life and death to war and peace, money, trade, beauty and our attempts to control nature's most elemental forces. 'Mathematics' uses the world-class collections of the Science Museum to offer a vivid vision of the people behind 400 years of mathematical practice, driven by problems that affect us all."
      ],
      "PublicationYear":[
        "2016"
      ],
      "TableOfContents":[
        "Essays. Viewing the mathematical past : action, explanation, speculation / Jim Bennett ; Women who made mathematics count : Émilie du Châtelet and Mary Somerville / Patricia Fara ; 'A woman can win the victory, though she may not wear the wreath' : women and mathematics in late nineteenth-century Cambridge / June Barrow-Green ; Mathematics : a living, changing landscape / Dame Celia Hoyles and Helen Wilson -- Afterword. Mathematics : the Winton Gallery, Science Museum / Dame Zaha Hadid with Patrik Schumacher, Zaha Hadid Architects."
      ],
      "Title":[
        "<h>Mathematics</h>"
      ],
      "PageCount":[
        "208 pages"
      ],
      "PublicationDate":[
        "2016."
      ],
      "OCLC":[
        "946058765"
      ],
      "Genre":[
        "History",
        "Pictorial works"
      ],
      "Subtitle":[
        "how it shaped our world"
      ],
      "Notes":[
        "Published in association with Science Museum.",
        "2016"
      ],
      "DEWEY":[
        "510.9"
      ],
      "MergedId":[
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      ],
      "RelatedCompanies_xml":[
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      "IsPeerReviewed":[
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        {
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          "text":"[2013]- "
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      "PublicationTitleAlternate":[
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        "Mathematics (Basel, Switzerland : Online)"
      ],
      "Score":[
        "38.142616"
      ],
      "PublicationPlace":[
        "Basel, Switzerland"
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      "URI":[
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      "PublicationPlace_xml":[
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      "Publisher":[
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      "Language":[
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      "PublicationCentury":[
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      "IsScholarly":[
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      ],
      "PublicationDecade":[
        "2010"
      ],
      "PublicationTitle":[
        "Mathematics"
      ],
      "SubjectTermsDisplay":[
        "Mathematics -- Periodicals.",
        "Mathematics.",
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        "Preface -- Part I: Space Discretisation Methods for PDEs -- Part II: Time Integration Schemes -- Part III:  A Posteriori Error Estimation and Adaptive Methods -- Part IV:  Numerical Linear Algebra -- Part V: Multiscale Modeling and Simulation -- Part VI: Reduced Order Modeling -- Part VII: Optimal Control -- Part VIII: Uncertainty, Stochastic Modeling and Applications -- Part IX:  Solvers, High Performance Computing and Software Libraries -- Part X: Computational Fluid and Structural Mechanics -- Part XI: Computational Electromagnetics.",
        "Preface;Contents;Part I Space Discretisation Methods for PDEs;Weakly Symmetric Mixed Finite Elements for Linear Elasticity;1 Introduction;2 The Equations of Elasticity;3 Mixed Finite Element Methods;4 Finite Element Families;References;Energy-Corrected Finite Element Methodsfor Scalar Elliptic Problems;1 Introduction;2 Re-entrant Corners;2.1 A Nested Newton Algorithm;2.2 Numerical Examples with Second Order Elements;3 Eigenvalue Problems;3.1 Convergence Analysis;3.2 Numerical Computation of Eigenvalues;4 Jumping Coefficients;4.1 Numerical Results;Conclusion;References;Stabilized Galerkin for Linear Advection of Vector Fields;1 Introduction;2 Stabilized Galerkin;3 Previous Results;4 H(Div,Ω)-Conforming Approximation;References;Finite Element-Boundary Element Methods for Dielectric Relaxation Spectroscopy;1 Introduction;2 Poisson-Nernst-Planck Model;3 Weak Formulation and Discretization;Results and Conclusion;References;On the Local Mesh Size of Nitsche's Method for Discontinuous Material Parameters;1 Introduction;2 Model Problem;3 The Proposed Method;3.1 A Priori Analysis;4 Observations on the Method;References;Robust Local Flux Reconstruction for VariousFinite Element Methods;1 Introduction;2 Unified Framework, Stability and Robustness;3 Local Computation of Multipliers and Fluxes;4 Numerical Experiment;References;On the Use of Reconstruction Operators in Discontinuous Galerkin Schemes;1 Problem Formulation and Notation;2 Discontinuous Galerkin (DG) Formulation;3 Reconstructed Discontinuous Galerkin (RDG) Formulation;3.1 Construction of the Reconstruction Operator;3.2 Relation Between RDG and Standard DG;4 Numerical Experiments;Conclusions;References;Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations;1 Introduction;2 DG Discretization;3 Adaptivity;4 Efficient Solution of Linear Systems;5 Numerical Results;Acknowledgement;References;Harmonic Complete Flux Schemes for Conservation Laws with Discontinuous Coefficients;1 Introduction;2 Numerical Approximation of the Scalar Flux;3 Extension to Systems of Conservation Laws;4 Numerical Example;Concluding Remarks;References;Analysis of Space-Time DGFEM for the Solution of Nonstationary Nonlinear Convection-Diffusion Problems;1 Continuous Problem;2 Space-Time Discretization;3 Error Estimates;4 Unconditional Stability of the Space-Time DGM;5 Numerical Experiments;References;Space-Time Discontinuous Galerkin Method for the Problem of Linear Elasticity;1 Introduction;2 Formulation of the Dynamic Elasticity Problem;3 Discretization;3.1 Notation;3.2 Space Discretization;3.3 Time Discretization;4 Numerical Experiments;Conclusion;References;Mimetic Finite Difference Method for Shape Optimization Problems;1 Introduction;2 MFD Method Applied to Shape Optimization Problems;2.1 Elliptic Problem;2.2 Drag Minimization;2.3 Free-Boundary Problem;3 Adaptive Strategy;References;Semi-discrete Time-Dependent Fourth-Order Problems on an Interval: Error Estimate;1 Introduction;2 Consistency for Compact Operators on an Interval;2.1 The Truncation Error;3 The Time-Dependent Case uxxt=uxxxx + b uxx +c ux+d u+f(x,t);4 The Time-Dependent Case ut=-uxxxx + b uxx +c ux+d u+f(x,t);5 Numerical Results;References;A Numerical Algorithm for a Fully Nonlinear PDE Involving the Jacobian Determinant;1 Motivation;2 Problem Formulation;3 An Augmented Lagrangian Algorithm;3.1 Regularization and Augmented Lagrangian Functional;3.2 Iterative Algorithm;3.3 Numerical Solution of the Constrained Nonlinear Problem;3.4 Numerical Solution of the Linear Variational Problem;4 Finite Element Approximation;5 Numerical Validation;References;Pattern Formation for a Reaction Diffusion System with Constant and Cross Diffusion;1 Introduction;1.1 Weak Solution;2 Finite Volume Approximation;3 Numerical Results;3.1 First Example;3.2 Second Example;References;Part II Time Integration Schemes;Stability of Explicit Runge-Kutta Methods for High Order Finite Element Approximation of Linear Parabolic Equations;1 Introduction;2 Stability Condition for Explicit Time Stepping;3 Summary and Conclusion;References;Comparison of Time Discretization Schemes to Simulate the Motion of an Inextensible Beam;1 Introduction;2 Motion of an Inextensible Beam;2.1 The Static Problem;2.2 The Dynamic Problem;3 Numerical Results;3.1 Benchmark with Analytical Solution;3.2 Swinging Beam;Conclusions;References;Multi-value Numerical Methods for Hamiltonian Systems;1 Hamiltonian Problems;2 Multi-value Methods;3 G-Symplecticity;4 Control of Parasitism;5 Long-Term Behaviour;References;Convergence of Parareal for the Navier-Stokes Equations Depending on the Reynolds Number;1 Introduction;2 Parareal;3 Linear Stability Analysis;4 Numerical Results for Driven Cavity Flow;Conclusions;References;Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation;1 Introduction;2 The Main Results;References;Part III A Posteriori Error Estimation and Adaptive Methods;Estimates of Constants in Boundary-Mean Trace Inequalities and Applications to Error Analysis;1 Introduction;2 Reduction to Spectral Problems;3 Errors Generated by Simplification of a Model;4 A Posteriori Estimates of Approximation Errors;References;Reliable a Posteriori Error Estimation for Plane Problems in Cosserat Elasticity;1 Introduction;2 Functional Type a Posteriori Error Estimates;3 Numerical Results;References;Residual Based Error Estimate for Higher Order Trefftz-Like Trial Functions on Adaptively Refined Polygonal Meshes;1 Introduction;2 BEM-Based FEM for the Model Problem;3 Residual Based Error Estimate and Adaptivity;4 Numerical Experiment;References;Stopping Criteria Based on Locally Reconstructed Fluxes;1 Introduction and General Idea;2 A Posteriori Estimator for Fully Solved Equations;2.1 Stable Hybrid Formulation;2.2 Local Computation of Fluxes;3 Estimator and Stopping Criterion;4 Numerical Experiments;References;An a Posteriori Error Estimator for a New Stabilized Formulation of the Brinkman Problem;1 Introduction;2 The Discrete Augmented Formulation;2.1 Well-Posedness and a Priori Error Estimate;3 A Ritz Projection-Based a Posteriori Error Analysis;4 Numerical Examples;References;New a Posteriori Error Estimator for an Augmented Mixed FEM in Linear Elasticity;1 Introduction;2 The Augmented Mixed Finite Element Method;3 A Posteriori Error Analysis;4 Numerical Experiments;References;Adaptive Numerical Simulation of Dynamic Contact Problems;1 Introduction;2 Dynamic Signorini Contact Problem;3 Discretization in Space and Time;4 Numerical Results;References;An Adaptive Finite Element Method for the Infinity Laplacian;1 Introduction;2 Notation, Linearisation and Discretisation;2.1 Linearisation of the Continuous Problem (1);2.2 Discretisation of the Sequence of Linear PDEs (9);3 Numerical Experiments;3.1 Benchmarking and Convergence: Classical Solution;3.2 A Known Viscosity Solution to the Homogeneous Problem;References;Anisotropic Adaptive Meshes for BrittleFractures: Parameter Sensitivity;1 Introduction to the Problem;1.1 The Modified Ambrosio-Tortorelli (MAT) Functional;1.2 The Discretized MAT Functional;2 The Anisotropic a Posteriori Error Estimator;3 An Optimize-and-Adapt Algorithm;4 Sensitivity Assessment;References;Part IV Numerical Linear Algebra;Variational Principles for Eigenvalues of Nonlinear Eigenproblems;1 Introduction;2 Overdamped Problems;3 Nonoverdamped Problems;References;Tensor Formats Based on Subspaces are Positively Invariant Sets for Laplacian-Like Dynamical Systems;1 Introduction;2 Preliminary Definitions and Results;3 Statement and Proof of the Main Result;References;Accurate Computations for Some Classes of Matrices;1 Introduction;2 M-Matrices and Diagonal Dominance;3 Totally Positive Matrices and Bidiagonal Factorizations;References;Corrected One-Site Density Matrix Renormalization Group and Alternating Minimal Energy Algorithm;1 Introduction;2 Comparison of Methods;2.1 Which Vector is Targeted: p=Ax vs. z=Ax-QA(x)x;2.2 What Is Approximated: Subspace vs. Vector ;2.3 How the New Direction Is Used: Averaging vs. Enrichment;3 Numerical Example;References;Approximating the Matrix Exponential of an Advection-Diffusion Operator Using the Incomplete Orthogonalization Method;1 Introduction;1.1 Class of Test Problems;2 The Incomplete Orthogonalization Method;2.1 Polynomial Approximation Property;3 Bounds for the Error;3.1 Bounds for the Field of Values and the Norm of Hk,2;4 A Posteriori Error Estimate;5 Numerical Examples;References;On the Convergence of Inexact Newton Methods;1 Introduction;2 Convergence of Inexact Iterative Methods;3 Convergence of Inexact Newton Methods;4 Numerical Experiments;Conclusions;References;Part V Multiscale Modeling and Simulation;Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media;1 Introduction;2 Model Problem;3 FE-HMM for Flow in Porous Media;4 Adaptive Method;4.1 Algorithm;5 Numerical Experiments;5.1 2D Experiment;5.2 3D Experiment;References;Homogenization of the One-Dimensional Wave Equation;1 Introduction;2 The Physical Problem and Elementary Properties;3 Homogenized Results and Their Proof;4 Numerical Examples;References;High-Order Asymptotic-Preserving Projective Integration Schemes for Kinetic Equations;1 Introduction;2 Model Problems;2.1 Simple Linear Kinetic Equations;2.2 A Kinetic Semiconductor Equation;2.3 Euler Equations;3 Higher Order Projective Integration;3.1 Inner Integrator;3.2 Outer Integrator;3.3 Stability Analysis;4 Numerical Experiments;References;Reduced Basis Numerical Homogenization Method for the Multiscale Wave Equation;1 Introduction;2 RB-FE-HMM for the Wave Equation;2.1 RB-FE-HMM: Online Stage;2.2 RB-FE-HMM: Offline Stage;3 Numerical Examples;References;Part VI Reduced Order Modeling;Reduced Order Optimal Control Using Proper Orthogonal Decomposition Sensitivities;1 Introduction;2 The Optimal Control Problem;3 Space-Time Discretization of the Optimal Control Problem;4 Reduced-Order Modelling Using POD;5 Numerical Results;References;Reduced Basis Approximation of Parametrized Advection-Diffusion PDEs with High Péclet Number;1 Introduction;2 Stabilized Reduced Basis Method;3 Numerical Test: Advection-Diffusion Problem with a Boundary Layer;Conclusions;References;Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography;1 Introduction;2 Reduced Basis Method and Empirical Interpolation;3 Adaptive Snapshot Selection;4 Numerical Experiments;4.1 Performance of the Adaptive Snapshot Selection;4.2 ROM-Based Optimization;Conclusions and Perspective;References;Output Error Bounds for the Dirichlet-NeumannReduced Basis Method;1 Introduction;2 Problem Definition;2.1 Assumptions;3 Reduced Basis Scheme;3.1 Smoothed Solutions;4 Error Estimation;4.1 Offline/Online Decomposition;5 Numerical Results;References;One-Dimensional Surrogate Models for Advection-Diffusion Problems;1 Introduction;2 A Transverse Average Model;2.1 A Geometrical Multiscale Approach;3 Hi-Mod Reduction;3.1 Piecewise Hi-Mod Reduction;4 A Numerical Comparison;References;Flag Manifolds for the Characterization of Geometric Structure in Large Data Sets;1 The Mathematical Challenges of Large Data Sets;2 Grassmann, Stiefel and Flag Manifolds;3 Flag Manifolds from Data;3.1 An Algorithm for Computing a Flag from a Collection of Subspaces;4 Numerical Experiments;4.1 Illustrative Example;4.2 Video Sequences;4.3 Pose Flags;Conclusions;References;Part VII Optimal Control;Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints;1 Introduction;2 The Optimal Control Problem;3 Discontinuous Galerkin Discretization;4 Primal-Dual Active Set (PDAS) Strategy;5 Moreau-Yosida (MY) Regularization Approach;6 Implementation Details;References;Efficient Preconditioning for an Optimal Control Problem with the Time-Periodic Stokes Equations;1 The Model Problem;2 Transformation to Two Systems with a Real Matrix;3 Preconditioning;3.1 The Practical Preconditioner ;3.2 Numerical Results;4 Alternative Stopping Criteria;References;An Accelerated Value/Policy Iteration Scheme for Optimal Control Problems and Games;1 Introduction;2 Model Problems and Building Blocks;3 The Accelerated Scheme for HJB Equations;4 Numerical Tests;References;Inverse Problem of a Boundary Function Recovery by Observation Data for the Shallow Water Model;1 Introduction;2 The Differential Formulation of a Problem;3 A Problem of Optimal Control;4 Numerical Tests for Boundary Function Recovery;References;Determination of Extremal Points and Weighted Discrete Minimal Riesz Energy with Interior Point Methods;1 Introduction;2 Computing Extremal Points with an Interior Point Method;3 Numerical Results;References;Part VIII Uncertainty, Stochastic Modeling and Applications;Sensitivity Estimation and Inverse Problems in Spatial Stochastic Models of Chemical Kinetics;1 Introduction;2 A Viable ``All Events Method''-Implementation;2.1 Spatial Stochastic Chemical Kinetics;2.2 Path-Wise Analysis of Perturbations;2.3 Simulation Using Consistent Poisson Processes;3 Sample Applications;3.1 Spatial Stochastic Focusing;3.2 Enzymatic Control;Conclusions;References;A Bayesian Approach to Physics-Based Reconstruction of Incompressible Flows;1 Introduction;2 Gaussian Process Regression;2.1 Standard Approach;2.2 Divergence-Free Approach;3 Practical Implementation;3.1 Computational Cost;3.2 Conditioning;4 Results;4.1 2D Synthetic Test Case;4.2 3D Experimental Data Set;Conclusions;References;Improved Stabilized Multilevel Monte Carlo Method for Stiff Stochastic Differential Equations;1 Introduction;2 Multilevel Monte Carlo Method for Stiff SDEs;3 Improved Stabilized Multilevel Monte Carlo Method for Stiff SDEs;4 Numerical Experiments;References;Adaptive Polynomial Approximation by Means of Random Discrete Least Squares;1 Random Discrete Least Squares;2 Adaptive Random Discrete Least Squares;3 Numerical Results;References;Part IX Solvers, High Performance Computing and Software Libraries;Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods;1 Introduction;2 The PWDG Method for the Helmholtz Problem;3 Domain Decomposition Preconditioners;3.1 Local and Coarse Spaces, Prolongation and Restriction Operators;3.2 Schwarz Operators;4 Numerical Results;5 The Issue of GMRES Convergence;References;A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity;1 Introduction;2 The Deflation Method;3 A New Coarse Space for Almost Incompressible Linear Elasticity;4 Numerical Results;References;Scalable Hybrid Parallelization Strategiesfor the DUNE Grid Interface;1 Introduction;Simulation Software;Hardware;The Challenge;2 Concepts;3 Design and Implementation;Levels of Parallelism;Shared Memory;Data Access;4 Performance Evaluation;Summary and Conclusions;References;Unveiling WARIS Code, a Paralleland Multi-purpose FDM Framework;1 Introduction;2 Software Engineering;2.1 Boosting Numerical Codes;3 System Architecture;3.1 Hardware Architecture Model;3.2 Software Architecture Model;4 Application Example;4.1 Volcanic Ash Dispersal;Conclusions;References;Integrating Multi-threading and Accelerators into DUNE-ISTL;1 Introduction;1.1 Software Frameworks;1.2 Target Applications and Numerical Approach;1.3 Hardware Development;1.4 Consequences and Challenges;1.5 Paper Contribution;2 Design and Implementation;2.1 Operations: Linear Algebra Kernels;2.2 Containers: Matrices and Vectors;2.3 Block Matrices;2.4 Solvers and PDELab;3 Experimental Evaluation;References;FMMTL: FMM Template Library A Generalized Framework for Kernel Matrices;1 Introduction;2 Background;3 Design Considerations;3.1 Kernels;3.2 Expansions;3.3 Tree and Traversals;3.4 Optimizations;4 Usage;4.1 Preliminary Benchmark;Conclusion;References;Part X Computational Fluid and Structural Mechanics;Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping;1 Introduction;2 Optimal Incremental Projection Scheme for Open Boundary Problem;3 Variable Time Stepping;References;An ALE-Based Method for Reaction-Induced Boundary Movement Towards Clogging;1 Motivation;2 Equations;3 A 1D Averaged Model;4 ALE Based Method for Full Thin-Strip Computations and Discretization;5 Clogging of the Channel;6 Numerical Tests;Conclusion;References;A Unified Approach for Computing Tsunami, Waves, Floods, and Landslides;1 Introduction;2 Mathematical Model;3 Numerical Method;4 Design of Computational Domain;5 Simulation of Hydrodynamic Events;References;Newton-Multigrid Least-Squares FEM for S-V-P Formulation of the Navier-Stokes Equations;1 Introduction;2 LSFEM for the Navier-Stokes Equations;2.1 First-Order Stress-Velocity-Pressure System;2.2 Continuous Least-Squares Principle;2.3 Newton Linearization;2.4 Variational Formulation;2.5 Operator Form of the Problem;2.6 Discrete Least-Squares Principle;2.7 MPCG Solver;3 Numerical Results and Discussions;4 Summary;References;Compressible Flows of Viscous Fluid in 3D Channel;1 Introduction;2 Mathematical Model;3 Computational Domain and Boundary Conditions;4 Numerical Solution;5 Numerical Results;Discussion and Conclusions;References;Numerical Investigation of Network Models for Isothermal Junction Flow;1 Introduction;2 Numerical Results;2.1 Case 1: Five Pipe Sections Connected at a Junction;2.2 Case 2: A Closed System of Three Pipe Sections and Two Junctions;3 Summary;References;Numerical Simulation of Compressible Turbulent Flows Using Modified EARSM Model;1 Governing Equations;1.1 EARSM Model of Turbulence;2 Calibration of Model Constants;3 Numerical Methods;4 Numerical Solution of Compressible Turbulent Flows;4.1 Subsonic Flow Around the Flat Plate;4.2 Transonic Flow Around the RAE 2822 Airfoil;4.3 Transonic Flow Through the SE 1050 Turbine Cascade;Conclusion;References;Steady Mixed Convection in a Heated Lid-Driven Square Cavity Filled with a Fluid-Saturated Porous Medium;1 Introduction;2 DRBEM Application;3 Numerical Results;Conclusion;References;The Influence of Boundary Conditions on the 3D Extrusion of a Viscoelastic Fluid;1 Introduction;2 The Model;3 Numerical Method;4 Numerical Results;Conclusions and Perspectives;References;Numerical Simulation of Polymer Film Stretching;1 Introduction;2 Membrane Model, Viscoelasticity and Temperature Coupling;3 Multiphase Treatment;4 Numerical Treatment;5 Numerical Results;6 Summary;References;Numerical Modelling of Viscoelastic Fluid-Structure Interaction and Its Application for a Valveless Micropump;1 Introduction;2 Governing Equations;3 Numerical Methods;4 Test Cases and Results;4.1 Lid-Driven Cavity with Flexible Bottom;4.2 Valveless Micropump;Conclusion;References;Numerical Investigation of Convergence Rates for the FEM Approximation of 3D-1D Coupled Problems;1 Introduction;2 Model Set Up;3 Numerical Approximation;4 Error Analysis, Numerical Results and Discussion;References;The Interaction of Compressible Flow and an Elastic Structure Using Discontinuous Galerkin Method;1 Introduction;2 Mathematical Model;3 Discretization;3.1 Space Discretization;4 Implementation Remarks;5 Numerical Results;Conclusion;References;Eulerian Techniques for Fluid-Structure Interactions: Part I - Modeling and Simulation;1 Introduction;2 Fluid-Structure Interactions in Eulerian Coordinates;2.1 Variational Formulation in Eulerian Coordinates;2.2 The Initial Point Set Method;3 Finite Element Discretization;4 Outlook: Accurate Temporal Discretization;References;Eulerian Techniques for Fluid-Structure Interactions: Part II - Applications;1 Introduction;2 Numerical Validation: Benchmark Problems;3 Large Motion: 360 Rotation;4 Touching the Boundary;5 Locally Modified Finite Element Scheme;6 Growing Structures and Clogging Phenomena;Conclusion;References;Part XI Computational Electromagnetics;A Local Projection Stabilization FEM for the Linearized Stationary MHD Problem;1 Introduction;2 Stability of the Proposed Method;3 Error Analysis for Smooth Solutions;4 Improved Error Estimates;References;Domain Decomposition for Computing Ferromagnetic Effects;1 The Ferromagnetic Screening Effect and Its Industrial Application;1.1 The Ferromagnetic Screening Effect in General;1.2 The Industrial Application: An Aluminum Electrolysis Cell;2 Modelling of Ferromagnetism;2.1 Static Maxwell Equations Without and With Magnetization;2.2 A Theorem of Existence and Uniticity;3 A Domain Decomposition Method to Solve Problem;3.1 The Domain Decomposition Algorithm;4 Numerical Results;4.1 The Academic Case;4.2 The Industrial Case;References;Mortar FEs on Overlapping Subdomains for Eddy Current Non Destructive Testing;1 Introduction;2 Continuous Problem Formulation;3 Discrete Problem Formulation;4 Numerical Results and Analogy with Linear Elasticity;Conclusions and Acknowledgements;References;Solving a Maxwell Interface Problem by a Local L2 Projected C0 Finite Element Method;1 Introduction;2 The Finite Element Method;3 Coercivity and Condition Number;4 Error Estimates;References;Editorial Policy;Lecture Notes in Computational Science and Engineering;Monographs in Computational Science and Engineering;Texts in Computational Science and Engineering"
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          "TableOfContents":[
            "Preface;Contents;Part I Space Discretisation Methods for PDEs;Weakly Symmetric Mixed Finite Elements for Linear Elasticity;1 Introduction;2 The Equations of Elasticity;3 Mixed Finite Element Methods;4 Finite Element Families;References;Energy-Corrected Finite Element Methodsfor Scalar Elliptic Problems;1 Introduction;2 Re-entrant Corners;2.1 A Nested Newton Algorithm;2.2 Numerical Examples with Second Order Elements;3 Eigenvalue Problems;3.1 Convergence Analysis;3.2 Numerical Computation of Eigenvalues;4 Jumping Coefficients;4.1 Numerical Results;Conclusion;References;Stabilized Galerkin for Linear Advection of Vector Fields;1 Introduction;2 Stabilized Galerkin;3 Previous Results;4 H(Div,Ω)-Conforming Approximation;References;Finite Element-Boundary Element Methods for Dielectric Relaxation Spectroscopy;1 Introduction;2 Poisson-Nernst-Planck Model;3 Weak Formulation and Discretization;Results and Conclusion;References;On the Local Mesh Size of Nitsche's Method for Discontinuous Material Parameters;1 Introduction;2 Model Problem;3 The Proposed Method;3.1 A Priori Analysis;4 Observations on the Method;References;Robust Local Flux Reconstruction for VariousFinite Element Methods;1 Introduction;2 Unified Framework, Stability and Robustness;3 Local Computation of Multipliers and Fluxes;4 Numerical Experiment;References;On the Use of Reconstruction Operators in Discontinuous Galerkin Schemes;1 Problem Formulation and Notation;2 Discontinuous Galerkin (DG) Formulation;3 Reconstructed Discontinuous Galerkin (RDG) Formulation;3.1 Construction of the Reconstruction Operator;3.2 Relation Between RDG and Standard DG;4 Numerical Experiments;Conclusions;References;Adaptive Discontinuous Galerkin Methods for Nonlinear Diffusion-Convection-Reaction Equations;1 Introduction;2 DG Discretization;3 Adaptivity;4 Efficient Solution of Linear Systems;5 Numerical Results;Acknowledgement;References;Harmonic Complete Flux Schemes for Conservation Laws with Discontinuous Coefficients;1 Introduction;2 Numerical Approximation of the Scalar Flux;3 Extension to Systems of Conservation Laws;4 Numerical Example;Concluding Remarks;References;Analysis of Space-Time DGFEM for the Solution of Nonstationary Nonlinear Convection-Diffusion Problems;1 Continuous Problem;2 Space-Time Discretization;3 Error Estimates;4 Unconditional Stability of the Space-Time DGM;5 Numerical Experiments;References;Space-Time Discontinuous Galerkin Method for the Problem of Linear Elasticity;1 Introduction;2 Formulation of the Dynamic Elasticity Problem;3 Discretization;3.1 Notation;3.2 Space Discretization;3.3 Time Discretization;4 Numerical Experiments;Conclusion;References;Mimetic Finite Difference Method for Shape Optimization Problems;1 Introduction;2 MFD Method Applied to Shape Optimization Problems;2.1 Elliptic Problem;2.2 Drag Minimization;2.3 Free-Boundary Problem;3 Adaptive Strategy;References;Semi-discrete Time-Dependent Fourth-Order Problems on an Interval: Error Estimate;1 Introduction;2 Consistency for Compact Operators on an Interval;2.1 The Truncation Error;3 The Time-Dependent Case uxxt=uxxxx + b uxx +c ux+d u+f(x,t);4 The Time-Dependent Case ut=-uxxxx + b uxx +c ux+d u+f(x,t);5 Numerical Results;References;A Numerical Algorithm for a Fully Nonlinear PDE Involving the Jacobian Determinant;1 Motivation;2 Problem Formulation;3 An Augmented Lagrangian Algorithm;3.1 Regularization and Augmented Lagrangian Functional;3.2 Iterative Algorithm;3.3 Numerical Solution of the Constrained Nonlinear Problem;3.4 Numerical Solution of the Linear Variational Problem;4 Finite Element Approximation;5 Numerical Validation;References;Pattern Formation for a Reaction Diffusion System with Constant and Cross Diffusion;1 Introduction;1.1 Weak Solution;2 Finite Volume Approximation;3 Numerical Results;3.1 First Example;3.2 Second Example;References;Part II Time Integration Schemes;Stability of Explicit Runge-Kutta Methods for High Order Finite Element Approximation of Linear Parabolic Equations;1 Introduction;2 Stability Condition for Explicit Time Stepping;3 Summary and Conclusion;References;Comparison of Time Discretization Schemes to Simulate the Motion of an Inextensible Beam;1 Introduction;2 Motion of an Inextensible Beam;2.1 The Static Problem;2.2 The Dynamic Problem;3 Numerical Results;3.1 Benchmark with Analytical Solution;3.2 Swinging Beam;Conclusions;References;Multi-value Numerical Methods for Hamiltonian Systems;1 Hamiltonian Problems;2 Multi-value Methods;3 G-Symplecticity;4 Control of Parasitism;5 Long-Term Behaviour;References;Convergence of Parareal for the Navier-Stokes Equations Depending on the Reynolds Number;1 Introduction;2 Parareal;3 Linear Stability Analysis;4 Numerical Results for Driven Cavity Flow;Conclusions;References;Splitting in Potential Finite-Difference Schemes with Discrete Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation;1 Introduction;2 The Main Results;References;Part III A Posteriori Error Estimation and Adaptive Methods;Estimates of Constants in Boundary-Mean Trace Inequalities and Applications to Error Analysis;1 Introduction;2 Reduction to Spectral Problems;3 Errors Generated by Simplification of a Model;4 A Posteriori Estimates of Approximation Errors;References;Reliable a Posteriori Error Estimation for Plane Problems in Cosserat Elasticity;1 Introduction;2 Functional Type a Posteriori Error Estimates;3 Numerical Results;References;Residual Based Error Estimate for Higher Order Trefftz-Like Trial Functions on Adaptively Refined Polygonal Meshes;1 Introduction;2 BEM-Based FEM for the Model Problem;3 Residual Based Error Estimate and Adaptivity;4 Numerical Experiment;References;Stopping Criteria Based on Locally Reconstructed Fluxes;1 Introduction and General Idea;2 A Posteriori Estimator for Fully Solved Equations;2.1 Stable Hybrid Formulation;2.2 Local Computation of Fluxes;3 Estimator and Stopping Criterion;4 Numerical Experiments;References;An a Posteriori Error Estimator for a New Stabilized Formulation of the Brinkman Problem;1 Introduction;2 The Discrete Augmented Formulation;2.1 Well-Posedness and a Priori Error Estimate;3 A Ritz Projection-Based a Posteriori Error Analysis;4 Numerical Examples;References;New a Posteriori Error Estimator for an Augmented Mixed FEM in Linear Elasticity;1 Introduction;2 The Augmented Mixed Finite Element Method;3 A Posteriori Error Analysis;4 Numerical Experiments;References;Adaptive Numerical Simulation of Dynamic Contact Problems;1 Introduction;2 Dynamic Signorini Contact Problem;3 Discretization in Space and Time;4 Numerical Results;References;An Adaptive Finite Element Method for the Infinity Laplacian;1 Introduction;2 Notation, Linearisation and Discretisation;2.1 Linearisation of the Continuous Problem (1);2.2 Discretisation of the Sequence of Linear PDEs (9);3 Numerical Experiments;3.1 Benchmarking and Convergence: Classical Solution;3.2 A Known Viscosity Solution to the Homogeneous Problem;References;Anisotropic Adaptive Meshes for BrittleFractures: Parameter Sensitivity;1 Introduction to the Problem;1.1 The Modified Ambrosio-Tortorelli (MAT) Functional;1.2 The Discretized MAT Functional;2 The Anisotropic a Posteriori Error Estimator;3 An Optimize-and-Adapt Algorithm;4 Sensitivity Assessment;References;Part IV Numerical Linear Algebra;Variational Principles for Eigenvalues of Nonlinear Eigenproblems;1 Introduction;2 Overdamped Problems;3 Nonoverdamped Problems;References;Tensor Formats Based on Subspaces are Positively Invariant Sets for Laplacian-Like Dynamical Systems;1 Introduction;2 Preliminary Definitions and Results;3 Statement and Proof of the Main Result;References;Accurate Computations for Some Classes of Matrices;1 Introduction;2 M-Matrices and Diagonal Dominance;3 Totally Positive Matrices and Bidiagonal Factorizations;References;Corrected One-Site Density Matrix Renormalization Group and Alternating Minimal Energy Algorithm;1 Introduction;2 Comparison of Methods;2.1 Which Vector is Targeted: p=Ax vs. z=Ax-QA(x)x;2.2 What Is Approximated: Subspace vs. Vector ;2.3 How the New Direction Is Used: Averaging vs. Enrichment;3 Numerical Example;References;Approximating the Matrix Exponential of an Advection-Diffusion Operator Using the Incomplete Orthogonalization Method;1 Introduction;1.1 Class of Test Problems;2 The Incomplete Orthogonalization Method;2.1 Polynomial Approximation Property;3 Bounds for the Error;3.1 Bounds for the Field of Values and the Norm of Hk,2;4 A Posteriori Error Estimate;5 Numerical Examples;References;On the Convergence of Inexact Newton Methods;1 Introduction;2 Convergence of Inexact Iterative Methods;3 Convergence of Inexact Newton Methods;4 Numerical Experiments;Conclusions;References;Part V Multiscale Modeling and Simulation;Multiscale Adaptive Method for Stokes Flow in Heterogenenous Media;1 Introduction;2 Model Problem;3 FE-HMM for Flow in Porous Media;4 Adaptive Method;4.1 Algorithm;5 Numerical Experiments;5.1 2D Experiment;5.2 3D Experiment;References;Homogenization of the One-Dimensional Wave Equation;1 Introduction;2 The Physical Problem and Elementary Properties;3 Homogenized Results and Their Proof;4 Numerical Examples;References;High-Order Asymptotic-Preserving Projective Integration Schemes for Kinetic Equations;1 Introduction;2 Model Problems;2.1 Simple Linear Kinetic Equations;2.2 A Kinetic Semiconductor Equation;2.3 Euler Equations;3 Higher Order Projective Integration;3.1 Inner Integrator;3.2 Outer Integrator;3.3 Stability Analysis;4 Numerical Experiments;References;Reduced Basis Numerical Homogenization Method for the Multiscale Wave Equation;1 Introduction;2 RB-FE-HMM for the Wave Equation;2.1 RB-FE-HMM: Online Stage;2.2 RB-FE-HMM: Offline Stage;3 Numerical Examples;References;Part VI Reduced Order Modeling;Reduced Order Optimal Control Using Proper Orthogonal Decomposition Sensitivities;1 Introduction;2 The Optimal Control Problem;3 Space-Time Discretization of the Optimal Control Problem;4 Reduced-Order Modelling Using POD;5 Numerical Results;References;Reduced Basis Approximation of Parametrized Advection-Diffusion PDEs with High Péclet Number;1 Introduction;2 Stabilized Reduced Basis Method;3 Numerical Test: Advection-Diffusion Problem with a Boundary Layer;Conclusions;References;Reduced-Order Modeling and ROM-Based Optimization of Batch Chromatography;1 Introduction;2 Reduced Basis Method and Empirical Interpolation;3 Adaptive Snapshot Selection;4 Numerical Experiments;4.1 Performance of the Adaptive Snapshot Selection;4.2 ROM-Based Optimization;Conclusions and Perspective;References;Output Error Bounds for the Dirichlet-NeumannReduced Basis Method;1 Introduction;2 Problem Definition;2.1 Assumptions;3 Reduced Basis Scheme;3.1 Smoothed Solutions;4 Error Estimation;4.1 Offline/Online Decomposition;5 Numerical Results;References;One-Dimensional Surrogate Models for Advection-Diffusion Problems;1 Introduction;2 A Transverse Average Model;2.1 A Geometrical Multiscale Approach;3 Hi-Mod Reduction;3.1 Piecewise Hi-Mod Reduction;4 A Numerical Comparison;References;Flag Manifolds for the Characterization of Geometric Structure in Large Data Sets;1 The Mathematical Challenges of Large Data Sets;2 Grassmann, Stiefel and Flag Manifolds;3 Flag Manifolds from Data;3.1 An Algorithm for Computing a Flag from a Collection of Subspaces;4 Numerical Experiments;4.1 Illustrative Example;4.2 Video Sequences;4.3 Pose Flags;Conclusions;References;Part VII Optimal Control;Distributed Optimal Control Problems Governed by Coupled Convection Dominated PDEs with Control Constraints;1 Introduction;2 The Optimal Control Problem;3 Discontinuous Galerkin Discretization;4 Primal-Dual Active Set (PDAS) Strategy;5 Moreau-Yosida (MY) Regularization Approach;6 Implementation Details;References;Efficient Preconditioning for an Optimal Control Problem with the Time-Periodic Stokes Equations;1 The Model Problem;2 Transformation to Two Systems with a Real Matrix;3 Preconditioning;3.1 The Practical Preconditioner ;3.2 Numerical Results;4 Alternative Stopping Criteria;References;An Accelerated Value/Policy Iteration Scheme for Optimal Control Problems and Games;1 Introduction;2 Model Problems and Building Blocks;3 The Accelerated Scheme for HJB Equations;4 Numerical Tests;References;Inverse Problem of a Boundary Function Recovery by Observation Data for the Shallow Water Model;1 Introduction;2 The Differential Formulation of a Problem;3 A Problem of Optimal Control;4 Numerical Tests for Boundary Function Recovery;References;Determination of Extremal Points and Weighted Discrete Minimal Riesz Energy with Interior Point Methods;1 Introduction;2 Computing Extremal Points with an Interior Point Method;3 Numerical Results;References;Part VIII Uncertainty, Stochastic Modeling and Applications;Sensitivity Estimation and Inverse Problems in Spatial Stochastic Models of Chemical Kinetics;1 Introduction;2 A Viable ``All Events Method''-Implementation;2.1 Spatial Stochastic Chemical Kinetics;2.2 Path-Wise Analysis of Perturbations;2.3 Simulation Using Consistent Poisson Processes;3 Sample Applications;3.1 Spatial Stochastic Focusing;3.2 Enzymatic Control;Conclusions;References;A Bayesian Approach to Physics-Based Reconstruction of Incompressible Flows;1 Introduction;2 Gaussian Process Regression;2.1 Standard Approach;2.2 Divergence-Free Approach;3 Practical Implementation;3.1 Computational Cost;3.2 Conditioning;4 Results;4.1 2D Synthetic Test Case;4.2 3D Experimental Data Set;Conclusions;References;Improved Stabilized Multilevel Monte Carlo Method for Stiff Stochastic Differential Equations;1 Introduction;2 Multilevel Monte Carlo Method for Stiff SDEs;3 Improved Stabilized Multilevel Monte Carlo Method for Stiff SDEs;4 Numerical Experiments;References;Adaptive Polynomial Approximation by Means of Random Discrete Least Squares;1 Random Discrete Least Squares;2 Adaptive Random Discrete Least Squares;3 Numerical Results;References;Part IX Solvers, High Performance Computing and Software Libraries;Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods;1 Introduction;2 The PWDG Method for the Helmholtz Problem;3 Domain Decomposition Preconditioners;3.1 Local and Coarse Spaces, Prolongation and Restriction Operators;3.2 Schwarz Operators;4 Numerical Results;5 The Issue of GMRES Convergence;References;A Deflation Based Coarse Space in Dual-Primal FETI Methods for Almost Incompressible Elasticity;1 Introduction;2 The Deflation Method;3 A New Coarse Space for Almost Incompressible Linear Elasticity;4 Numerical Results;References;Scalable Hybrid Parallelization Strategiesfor the DUNE Grid Interface;1 Introduction;Simulation Software;Hardware;The Challenge;2 Concepts;3 Design and Implementation;Levels of Parallelism;Shared Memory;Data Access;4 Performance Evaluation;Summary and Conclusions;References;Unveiling WARIS Code, a Paralleland Multi-purpose FDM Framework;1 Introduction;2 Software Engineering;2.1 Boosting Numerical Codes;3 System Architecture;3.1 Hardware Architecture Model;3.2 Software Architecture Model;4 Application Example;4.1 Volcanic Ash Dispersal;Conclusions;References;Integrating Multi-threading and Accelerators into DUNE-ISTL;1 Introduction;1.1 Software Frameworks;1.2 Target Applications and Numerical Approach;1.3 Hardware Development;1.4 Consequences and Challenges;1.5 Paper Contribution;2 Design and Implementation;2.1 Operations: Linear Algebra Kernels;2.2 Containers: Matrices and Vectors;2.3 Block Matrices;2.4 Solvers and PDELab;3 Experimental Evaluation;References;FMMTL: FMM Template Library A Generalized Framework for Kernel Matrices;1 Introduction;2 Background;3 Design Considerations;3.1 Kernels;3.2 Expansions;3.3 Tree and Traversals;3.4 Optimizations;4 Usage;4.1 Preliminary Benchmark;Conclusion;References;Part X Computational Fluid and Structural Mechanics;Modified Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping;1 Introduction;2 Optimal Incremental Projection Scheme for Open Boundary Problem;3 Variable Time Stepping;References;An ALE-Based Method for Reaction-Induced Boundary Movement Towards Clogging;1 Motivation;2 Equations;3 A 1D Averaged Model;4 ALE Based Method for Full Thin-Strip Computations and Discretization;5 Clogging of the Channel;6 Numerical Tests;Conclusion;References;A Unified Approach for Computing Tsunami, Waves, Floods, and Landslides;1 Introduction;2 Mathematical Model;3 Numerical Method;4 Design of Computational Domain;5 Simulation of Hydrodynamic Events;References;Newton-Multigrid Least-Squares FEM for S-V-P Formulation of the Navier-Stokes Equations;1 Introduction;2 LSFEM for the Navier-Stokes Equations;2.1 First-Order Stress-Velocity-Pressure System;2.2 Continuous Least-Squares Principle;2.3 Newton Linearization;2.4 Variational Formulation;2.5 Operator Form of the Problem;2.6 Discrete Least-Squares Principle;2.7 MPCG Solver;3 Numerical Results and Discussions;4 Summary;References;Compressible Flows of Viscous Fluid in 3D Channel;1 Introduction;2 Mathematical Model;3 Computational Domain and Boundary Conditions;4 Numerical Solution;5 Numerical Results;Discussion and Conclusions;References;Numerical Investigation of Network Models for Isothermal Junction Flow;1 Introduction;2 Numerical Results;2.1 Case 1: Five Pipe Sections Connected at a Junction;2.2 Case 2: A Closed System of Three Pipe Sections and Two Junctions;3 Summary;References;Numerical Simulation of Compressible Turbulent Flows Using Modified EARSM Model;1 Governing Equations;1.1 EARSM Model of Turbulence;2 Calibration of Model Constants;3 Numerical Methods;4 Numerical Solution of Compressible Turbulent Flows;4.1 Subsonic Flow Around the Flat Plate;4.2 Transonic Flow Around the RAE 2822 Airfoil;4.3 Transonic Flow Through the SE 1050 Turbine Cascade;Conclusion;References;Steady Mixed Convection in a Heated Lid-Driven Square Cavity Filled with a Fluid-Saturated Porous Medium;1 Introduction;2 DRBEM Application;3 Numerical Results;Conclusion;References;The Influence of Boundary Conditions on the 3D Extrusion of a Viscoelastic Fluid;1 Introduction;2 The Model;3 Numerical Method;4 Numerical Results;Conclusions and Perspectives;References;Numerical Simulation of Polymer Film Stretching;1 Introduction;2 Membrane Model, Viscoelasticity and Temperature Coupling;3 Multiphase Treatment;4 Numerical Treatment;5 Numerical Results;6 Summary;References;Numerical Modelling of Viscoelastic Fluid-Structure Interaction and Its Application for a Valveless Micropump;1 Introduction;2 Governing Equations;3 Numerical Methods;4 Test Cases and Results;4.1 Lid-Driven Cavity with Flexible Bottom;4.2 Valveless Micropump;Conclusion;References;Numerical Investigation of Convergence Rates for the FEM Approximation of 3D-1D Coupled Problems;1 Introduction;2 Model Set Up;3 Numerical Approximation;4 Error Analysis, Numerical Results and Discussion;References;The Interaction of Compressible Flow and an Elastic Structure Using Discontinuous Galerkin Method;1 Introduction;2 Mathematical Model;3 Discretization;3.1 Space Discretization;4 Implementation Remarks;5 Numerical Results;Conclusion;References;Eulerian Techniques for Fluid-Structure Interactions: Part I - Modeling and Simulation;1 Introduction;2 Fluid-Structure Interactions in Eulerian Coordinates;2.1 Variational Formulation in Eulerian Coordinates;2.2 The Initial Point Set Method;3 Finite Element Discretization;4 Outlook: Accurate Temporal Discretization;References;Eulerian Techniques for Fluid-Structure Interactions: Part II - Applications;1 Introduction;2 Numerical Validation: Benchmark Problems;3 Large Motion: 360 Rotation;4 Touching the Boundary;5 Locally Modified Finite Element Scheme;6 Growing Structures and Clogging Phenomena;Conclusion;References;Part XI Computational Electromagnetics;A Local Projection Stabilization FEM for the Linearized Stationary MHD Problem;1 Introduction;2 Stability of the Proposed Method;3 Error Analysis for Smooth Solutions;4 Improved Error Estimates;References;Domain Decomposition for Computing Ferromagnetic Effects;1 The Ferromagnetic Screening Effect and Its Industrial Application;1.1 The Ferromagnetic Screening Effect in General;1.2 The Industrial Application: An Aluminum Electrolysis Cell;2 Modelling of Ferromagnetism;2.1 Static Maxwell Equations Without and With Magnetization;2.2 A Theorem of Existence and Uniticity;3 A Domain Decomposition Method to Solve Problem;3.1 The Domain Decomposition Algorithm;4 Numerical Results;4.1 The Academic Case;4.2 The Industrial Case;References;Mortar FEs on Overlapping Subdomains for Eddy Current Non Destructive Testing;1 Introduction;2 Continuous Problem Formulation;3 Discrete Problem Formulation;4 Numerical Results and Analogy with Linear Elasticity;Conclusions and Acknowledgements;References;Solving a Maxwell Interface Problem by a Local L2 Projected C0 Finite Element Method;1 Introduction;2 The Finite Element Method;3 Coercivity and Condition Number;4 Error Estimates;References;Editorial Policy;Lecture Notes in Computational Science and Engineering;Monographs in Computational Science and Engineering;Texts in Computational Science and Engineering"
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