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Numerical solution of variational inequalities by adaptive finite elements [[electronic resource] /] / Franz-Theo Suttmeier
| Numerical solution of variational inequalities by adaptive finite elements [[electronic resource] /] / Franz-Theo Suttmeier |
| Autore | Suttmeier Franz-Theo |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Wiesbaden, : Vieweg + Teubner Research, 2008 |
| Descrizione fisica | 1 online resource (171 p.) |
| Disciplina | 514/.74 |
| Collana | Advances in numerical mathematics |
| Soggetto topico |
Finite element method
Variational inequalities (Mathematics) Error analysis (Mathematics) Differential equations, Partial - Numerical solutions |
| ISBN | 3-8348-9546-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Models in elasto-plasticity -- The dual-weighted-residual method -- Extensions to stabilised schemes -- Obstacle problem -- Signorini’s problem -- Strang’s problem -- General concept -- Lagrangian formalism -- Obstacle problem revisited -- Variational inequalities of second kind -- Time-dependent problems -- Applications -- Iterative Algorithms -- Conclusion. |
| Record Nr. | UNINA-9910816772403321 |
Suttmeier Franz-Theo
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| Wiesbaden, : Vieweg + Teubner Research, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A posteriori error estimation in finite element analysis / / Mark Ainsworth and J. Tinsley Oden
| A posteriori error estimation in finite element analysis / / Mark Ainsworth and J. Tinsley Oden |
| Autore | Ainsworth Mark <1965-> |
| Pubbl/distr/stampa | New York, New York : , : John Wiley & Sons, Inc., , 2000 |
| Descrizione fisica | 1 online resource (266 p.) |
| Disciplina |
620.001
620.00151535 |
| Collana | Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts |
| Soggetto topico |
Finite element method
Error analysis (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-28259-3
9786613282590 1-118-03107-5 1-118-03282-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Posteriori Error Estimation in Finite Element Analysis; Contents; Preface; Acknowledgments; 1 Introduction; 1.1 A Posteriori Error Estimation: The Setting; 1.2 Status and Scope; 1.3 Finite Element Nomenclature; 1.3.1 Sobolev Spaces; 1.3.2 Inverse Estimates; 1.3.3 Finite Element Partitions; 1.3.4 Finite Element Spaces on Triangles; 1.3.5 Finite Element Spaces on Quadrilaterals; 1.3.6 Properties of Lagrange Basis Functions; 1.3.7 Finite Element Interpolation; 1.3.8 Patches of Elements; 1.3.9 Regularized Approximation Operators; 1.4 Model Problem
1.5 Properties of A Posteriori Error Estimators1.6 Bibliographical Remarks; 2 Explicit A Posteriori Estimators; 2.1 Introduction; 2.2 A Simple A Posteriori Error Estimate; 2.3 Efficiency of Estimator; 2.3.1 Bubble Functions; 2.3.2 Bounds on the Residuals; 2.3.3 Proof of Two-Sided Bounds on the Error; 2.4 A Simple Explicit Least Squares Error Estimator; 2.5 Estimates for the Pointwise Error; 2.5.1 Regularized Point Load; 2.5.2 Regularized Green's Function; 2.5.3 Two-Sided Bounds on the Pointwise Error; 2.6 Bibliographical Remarks; 3 Implicit A Posteriori Estimators; 3.1 Introduction 3.2 The Subdomain Residual Method3.2.1 Formulation of Subdomain Residual Problem; 3.2.2 Preliminaries; 3.2.3 Equivalence of Estimator; 3.2.4 Treatment of Residual Problems; 3.3 The Element Residual Method; 3.3.1 Formulation of Local Residual Problem; 3.3.2 Solvability of the Local Problems; 3.3.3 The Classical Element Residual Method; 3.3.4 Relationship with Explicit Error Estimators; 3.3.5 Efficiency and Reliability of the Estimator; 3.4 The Influence and Selection of Subspaces; 3.4.1 Exact Solution of Element Residual Problem; 3.4.2 Analysis and Selection of Approximate Subspaces 3.4.3 Conclusions3.5 Bibliographical Remarks; 4 Recovery-Based Error Estimators; 4.1 Examples of Recovery-Based Estimators; 4.1.1 An Error Estimator for a Model Problem in One Dimension; 4.1.2 An Error Estimator for Bilinear Finite Element Approximation; 4.2 Recovery Operators; 4.2.1 Approximation Properties of Recovery Operators; 4.3 The Superconvergence Property; 4.4 Application to A Posteriori Error Estimation; 4.5 Construction of Recovery Operators; 4.6 The Zienkiewicz-Zhu Patch Recovery Technique; 4.6.1 Linear Approximation on Triangular Elements 4.6.2 Quadratic Approximation on Triangular Elements4.6.3 Patch Recovery for Quadrilateral Elements; 4.7 A Cautionary Tale; 4.8 Bibliographical Remarks; 5 Estimators, Indicators, and Hierarchic Bases; 5.1 Introduction; 5.2 Saturation Assumption; 5.3 Analysis of Estimator; 5.4 Error Estimation Using a Reduced Subspace; 5.5 The Strengthened Cauchy-Schwarz Inequality; 5.6 Examples; 5.7 Multilevel Error Indicators; 5.8 Bibliographical Remarks; 6 The Equilibrated Residual Method; 6.1 Introduction; 6.2 The Equilibrated Residual Method; 6.3 The Equilibrated Flux Conditions 6.4 Equilibrated Fluxes on Regular Partitions |
| Record Nr. | UNINA-9910130966403321 |
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Ainsworth Mark <1965->
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| New York, New York : , : John Wiley & Sons, Inc., , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A posteriori error estimation in finite element analysis / / Mark Ainsworth and J. Tinsley Oden
| A posteriori error estimation in finite element analysis / / Mark Ainsworth and J. Tinsley Oden |
| Autore | Ainsworth Mark <1965-> |
| Pubbl/distr/stampa | New York, New York : , : John Wiley & Sons, Inc., , 2000 |
| Descrizione fisica | 1 online resource (266 p.) |
| Disciplina |
620.001
620.00151535 |
| Collana | Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts |
| Soggetto topico |
Finite element method
Error analysis (Mathematics) |
| ISBN |
1-283-28259-3
9786613282590 1-118-03107-5 1-118-03282-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
A Posteriori Error Estimation in Finite Element Analysis; Contents; Preface; Acknowledgments; 1 Introduction; 1.1 A Posteriori Error Estimation: The Setting; 1.2 Status and Scope; 1.3 Finite Element Nomenclature; 1.3.1 Sobolev Spaces; 1.3.2 Inverse Estimates; 1.3.3 Finite Element Partitions; 1.3.4 Finite Element Spaces on Triangles; 1.3.5 Finite Element Spaces on Quadrilaterals; 1.3.6 Properties of Lagrange Basis Functions; 1.3.7 Finite Element Interpolation; 1.3.8 Patches of Elements; 1.3.9 Regularized Approximation Operators; 1.4 Model Problem
1.5 Properties of A Posteriori Error Estimators1.6 Bibliographical Remarks; 2 Explicit A Posteriori Estimators; 2.1 Introduction; 2.2 A Simple A Posteriori Error Estimate; 2.3 Efficiency of Estimator; 2.3.1 Bubble Functions; 2.3.2 Bounds on the Residuals; 2.3.3 Proof of Two-Sided Bounds on the Error; 2.4 A Simple Explicit Least Squares Error Estimator; 2.5 Estimates for the Pointwise Error; 2.5.1 Regularized Point Load; 2.5.2 Regularized Green's Function; 2.5.3 Two-Sided Bounds on the Pointwise Error; 2.6 Bibliographical Remarks; 3 Implicit A Posteriori Estimators; 3.1 Introduction 3.2 The Subdomain Residual Method3.2.1 Formulation of Subdomain Residual Problem; 3.2.2 Preliminaries; 3.2.3 Equivalence of Estimator; 3.2.4 Treatment of Residual Problems; 3.3 The Element Residual Method; 3.3.1 Formulation of Local Residual Problem; 3.3.2 Solvability of the Local Problems; 3.3.3 The Classical Element Residual Method; 3.3.4 Relationship with Explicit Error Estimators; 3.3.5 Efficiency and Reliability of the Estimator; 3.4 The Influence and Selection of Subspaces; 3.4.1 Exact Solution of Element Residual Problem; 3.4.2 Analysis and Selection of Approximate Subspaces 3.4.3 Conclusions3.5 Bibliographical Remarks; 4 Recovery-Based Error Estimators; 4.1 Examples of Recovery-Based Estimators; 4.1.1 An Error Estimator for a Model Problem in One Dimension; 4.1.2 An Error Estimator for Bilinear Finite Element Approximation; 4.2 Recovery Operators; 4.2.1 Approximation Properties of Recovery Operators; 4.3 The Superconvergence Property; 4.4 Application to A Posteriori Error Estimation; 4.5 Construction of Recovery Operators; 4.6 The Zienkiewicz-Zhu Patch Recovery Technique; 4.6.1 Linear Approximation on Triangular Elements 4.6.2 Quadratic Approximation on Triangular Elements4.6.3 Patch Recovery for Quadrilateral Elements; 4.7 A Cautionary Tale; 4.8 Bibliographical Remarks; 5 Estimators, Indicators, and Hierarchic Bases; 5.1 Introduction; 5.2 Saturation Assumption; 5.3 Analysis of Estimator; 5.4 Error Estimation Using a Reduced Subspace; 5.5 The Strengthened Cauchy-Schwarz Inequality; 5.6 Examples; 5.7 Multilevel Error Indicators; 5.8 Bibliographical Remarks; 6 The Equilibrated Residual Method; 6.1 Introduction; 6.2 The Equilibrated Residual Method; 6.3 The Equilibrated Flux Conditions 6.4 Equilibrated Fluxes on Regular Partitions |
| Record Nr. | UNINA-9910829852103321 |
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Ainsworth Mark <1965->
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| New York, New York : , : John Wiley & Sons, Inc., , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A posteriori estimates for partial differential equations [[electronic resource] /] / Sergey Repin
| A posteriori estimates for partial differential equations [[electronic resource] /] / Sergey Repin |
| Autore | Repin Sergey I |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2008 |
| Descrizione fisica | 1 online resource (328 p.) |
| Disciplina | 515/.353 |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Differential equations, Partial
Error analysis (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-39678-5
9786613396785 3-11-020304-9 |
| Classificazione | SK 500 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- 1. Introduction -- 2. Overview -- 3. Poisson's equation -- 4. Linear elliptic problems -- 5. Elasticity -- 6. Incompressible viscous fluids -- 7. Generalizations -- 8. Nonlinear problems -- 9. A posteriori estimates for other problems -- Backmatter |
| Record Nr. | UNINA-9910454528203321 |
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Repin Sergey I
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| Berlin ; ; New York, : Walter de Gruyter, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A posteriori estimates for partial differential equations [[electronic resource] /] / Sergey Repin
| A posteriori estimates for partial differential equations [[electronic resource] /] / Sergey Repin |
| Autore | Repin Sergey I |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2008 |
| Descrizione fisica | 1 online resource (328 p.) |
| Disciplina | 515/.353 |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Differential equations, Partial
Error analysis (Mathematics) |
| Soggetto non controllato | Partial Differential Equation, Approximate Solution, A Posteriori Error Estimates |
| ISBN |
1-283-39678-5
9786613396785 3-11-020304-9 |
| Classificazione | SK 500 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- 1. Introduction -- 2. Overview -- 3. Poisson's equation -- 4. Linear elliptic problems -- 5. Elasticity -- 6. Incompressible viscous fluids -- 7. Generalizations -- 8. Nonlinear problems -- 9. A posteriori estimates for other problems -- Backmatter |
| Record Nr. | UNINA-9910782789403321 |
|
Repin Sergey I
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||
| Berlin ; ; New York, : Walter de Gruyter, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A posteriori estimates for partial differential equations [[electronic resource] /] / Sergey Repin
| A posteriori estimates for partial differential equations [[electronic resource] /] / Sergey Repin |
| Autore | Repin Sergey I |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2008 |
| Descrizione fisica | 1 online resource (328 p.) |
| Disciplina | 515/.353 |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Differential equations, Partial
Error analysis (Mathematics) |
| Soggetto non controllato | Partial Differential Equation, Approximate Solution, A Posteriori Error Estimates |
| ISBN |
1-283-39678-5
9786613396785 3-11-020304-9 |
| Classificazione | SK 500 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- 1. Introduction -- 2. Overview -- 3. Poisson's equation -- 4. Linear elliptic problems -- 5. Elasticity -- 6. Incompressible viscous fluids -- 7. Generalizations -- 8. Nonlinear problems -- 9. A posteriori estimates for other problems -- Backmatter |
| Record Nr. | UNINA-9910807366703321 |
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Repin Sergey I
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| Berlin ; ; New York, : Walter de Gruyter, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Potential non-conservative error in modeling geometric regions in the Keno-V.A criticality code [[electronic resource]]
| Potential non-conservative error in modeling geometric regions in the Keno-V.A criticality code [[electronic resource]] |
| Pubbl/distr/stampa | Washington, D.C. : , : U.S. Nuclear Regulatory Commission, Office of Nuclear Reactor Regulation : , : U.S. Nuclear Regulatory Commission, Office of Nuclear Material Safety and Safeguards, , [2005] |
| Descrizione fisica | 1 online resource (3, 1 page) |
| Collana | NRC information notice |
| Soggetto topico |
Criticality (Nuclear engineering) - Mathematical models
Error analysis (Mathematics) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910699691203321 |
| Washington, D.C. : , : U.S. Nuclear Regulatory Commission, Office of Nuclear Reactor Regulation : , : U.S. Nuclear Regulatory Commission, Office of Nuclear Material Safety and Safeguards, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Potential non-conservative error in preparing problem-dependent cross sections for use with the Keno V.A or Keno-vi criticality code [[electronic resource]]
| Potential non-conservative error in preparing problem-dependent cross sections for use with the Keno V.A or Keno-vi criticality code [[electronic resource]] |
| Pubbl/distr/stampa | Washington, D.C. : , : U.S. Nuclear Regulatory Commission, Office of Nuclear Reactor Regulation : , : U.S. Nuclear Regulatory Commission, Office of Nuclear Material Safety and Safeguards, , [2005] |
| Descrizione fisica | 1 online resource (3, 3 pages) |
| Collana | NRC information notice |
| Soggetto topico |
Criticality (Nuclear engineering)
Error analysis (Mathematics) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910699684003321 |
| Washington, D.C. : , : U.S. Nuclear Regulatory Commission, Office of Nuclear Reactor Regulation : , : U.S. Nuclear Regulatory Commission, Office of Nuclear Material Safety and Safeguards, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Potential nonconservative errors in the working format Hansen-Roach cross-section set provided with the KENO and Scale codes
| Potential nonconservative errors in the working format Hansen-Roach cross-section set provided with the KENO and Scale codes |
| Pubbl/distr/stampa | Washington, D.C. : , : United States Nuclear Regulatory Commission, Office of Nuclear Reactor Regulation & Office of Nuclear Material Safety and Safeguards, , 1991 |
| Descrizione fisica | 1 online resource |
| Collana | Information notice |
| Soggetto topico |
Criticality (Nuclear engineering)
Error analysis (Mathematics) |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910715329303321 |
| Washington, D.C. : , : United States Nuclear Regulatory Commission, Office of Nuclear Reactor Regulation & Office of Nuclear Material Safety and Safeguards, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A practical guide to reliable finite element modelling / / Alan Morris ; with contributions from Ahmed Rahman
| A practical guide to reliable finite element modelling / / Alan Morris ; with contributions from Ahmed Rahman |
| Autore | Morris A. J. |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2008 |
| Descrizione fisica | 1 online resource (386 p.) |
| Disciplina |
620.001
620.00151825 |
| Soggetto topico |
Finite element method
Error analysis (Mathematics) |
| ISBN |
1-281-84036-X
9786611840365 0-470-51211-3 0-470-51210-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A Practical Guide to Reliable Finite Element Modelling; Contents; Preface; 1 Introduction; 2 Overview of Static Finite Element Analysis; 3 Overview of Dynamic Analysis; 4 What's Energy Got to Do with It?; 5 Preliminary Review of Errors and Error Control; 6 Discretisation: Elements and Meshes or Some Ways to Avoid Generated Error*; 7 Idealisation Error Types and Sources; 8 Error Control; 9 Error-Controlled Analyses; 10 FEMEC Walkthrough Example; Index |
| Record Nr. | UNINA-9910144096703321 |
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Morris A. J.
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| Chichester, England : , : Wiley, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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