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Numerical solution of Variational Inequalities by Adaptive Finite Elements - Franz-Theo Suttmeier
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Franz-Theo Suttmeier:
Numerical solution of Variational Inequalities by Adaptive Finite Elements - neues Buch

ISBN: 9783834895462

ID: 9783834895462

This work describes a general approach to a posteriori error estimation and adaptive mesh design for nite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is based on a variational formulation of the problem and uses global duality arguments for deriving weighted a posteriori error estimates with respect to arbitrary functionals of the error. In these estimates local residuals of the computed solution are multiplied by sensitivity factors which are obtained from a - merically computed dual solution. The resulting local error indicators are used in a feed-back process for generating economical meshes which are tailored - cording to the particular goal of the computation. This method is developed here for several model problems. Based on these examples, a general concept is proposed, which provides a systematic way of adaptive error control for problems stated in form of variational inequalities. F ur Alexandra, Katharina und Merle Contents 1 Introduction 1 2 Models in elasto-plasticity 13 2. 1 Governing equations. 14 2. 2 Examples. 20 3 The dual-weighted-residual method 23 3. 1 A model situation in plasticity. 24 3. 2 A posteriori error estimate. 25 3. 3 Evaluation of a posteriori error bounds. 26 3. 4 Strategies for mesh adaptation. 28 3. 5 Example. 30 4 Extensions to stabilised schemes 33 4. 1 Discretisation for the membrane-problem. 35 4. 2 A posteriori error analysis. 37 4. 3 Numerical tests. Numerical solution of Variational Inequalities by Adaptive Finite Elements: This work describes a general approach to a posteriori error estimation and adaptive mesh design for nite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is based on a variational formulation of the problem and uses global duality arguments for deriving weighted a posteriori error estimates with respect to arbitrary functionals of the error. In these estimates local residuals of the computed solution are multiplied by sensitivity factors which are obtained from a - merically computed dual solution. The resulting local error indicators are used in a feed-back process for generating economical meshes which are tailored - cording to the particular goal of the computation. This method is developed here for several model problems. Based on these examples, a general concept is proposed, which provides a systematic way of adaptive error control for problems stated in form of variational inequalities. F ur Alexandra, Katharina und Merle Contents 1 Introduction 1 2 Models in elasto-plasticity 13 2. 1 Governing equations. 14 2. 2 Examples. 20 3 The dual-weighted-residual method 23 3. 1 A model situation in plasticity. 24 3. 2 A posteriori error estimate. 25 3. 3 Evaluation of a posteriori error bounds. 26 3. 4 Strategies for mesh adaptation. 28 3. 5 Example. 30 4 Extensions to stabilised schemes 33 4. 1 Discretisation for the membrane-problem. 35 4. 2 A posteriori error analysis. 37 4. 3 Numerical tests. A Posteriori Fehlerschätzung A Priori Fehlerschätzung Adaptivität Finite Finite-Elemente-Methode Variationsungleichungen equation finite element method mathematics C Mathematics, general Numerical Analysis Mathematics and Statistics, Vieweg & Teubner

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Numerical solution of Variational Inequalities by Adaptive Finite Elements - Franz-Theo Suttmeier
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Franz-Theo Suttmeier:
Numerical solution of Variational Inequalities by Adaptive Finite Elements - neues Buch

ISBN: 9783834895462

ID: 9783834895462

The author presents a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. The local weighted residuals, that result from an extension of the so-called Dual-Weighted-Residual method, are used in a feed-back process for generating economical meshes. Based on several model problems, a general concept is proposed, which provides a systematic way of adaptive errorcontrol for problems stated in form of variational inequalities. Numerical solution of Variational Inequalities by Adaptive Finite Elements: The author presents a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. The local weighted residuals, that result from an extension of the so-called Dual-Weighted-Residual method, are used in a feed-back process for generating economical meshes. Based on several model problems, a general concept is proposed, which provides a systematic way of adaptive errorcontrol for problems stated in form of variational inequalities. Finite Elemente - FEM FEM ( Finite Elemente ) Numerik (naturwissenschaftlich, EDV) Variationsrechnung, Vieweg & Teubner Verlag

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Numerical solution of Variational Inequalities by Adaptive Finite Elements - Ralf-T. Grünendahl;Andreas F. Steinbacher;Peter H.L. Will
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Ralf-T. Grünendahl;Andreas F. Steinbacher;Peter H.L. Will:
Numerical solution of Variational Inequalities by Adaptive Finite Elements - neues Buch

ISBN: 9783834895462

ID: 9783834895462

Advances in Numerical Mathematics, [KW: PDF ,ARITHMETIK,ALGEBRA ,FINITE ELEMENTE - FEM ,FEM ( FINITE ELEMENTE ) ,NUMERIK (NATURWISSENSCHAFTLICH EDV) ,VARIATIONSRECHNUNG] PDF ,ARITHMETIK,ALGEBRA ,FINITE ELEMENTE - FEM ,FEM ( FINITE ELEMENTE ) ,NUMERIK (NATURWISSENSCHAFTLICH EDV) ,VARIATIONSRECHNUNG

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Numerical solution of Variational Inequalities by Adaptive Finite Elements - Franz-Theo Suttmeier
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Franz-Theo Suttmeier:
Numerical solution of Variational Inequalities by Adaptive Finite Elements - neues Buch

ISBN: 9783834895462

ID: 9783834895462

Mathematics; Numerical Analysis; Mathematics, general A Posteriori Fehlerschätzung, A Priori Fehlerschätzung, Adaptivität, Finite, Finite-Elemente-Methode, Variationsungleichungen, equation, finite element method, mathematics Books eBook, Springer Science+Business Media

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Numerical solution of Variational Inequalities by Adaptive Finite Elements - Suttmeier, Franz Th
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Suttmeier, Franz Th:
Numerical solution of Variational Inequalities by Adaptive Finite Elements - neues Buch

2008, ISBN: 9783834895462

ID: 9783834895462

In englischer Sprache. Verlag: Vieweg & Teubner, PC-PDF, 10 Seiten, 10 Seiten, 1., Aufl. [GR: 9623 - Nonbooks, PBS / Mathematik/Arithmetik, Algebra], [DRM: hard-drm], [Ausgabe: 1]

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Detailangaben zum Buch - Numerical solution of Variational Inequalities by Adaptive Finite Elements


EAN (ISBN-13): 9783834895462
Erscheinungsjahr: 2009
Herausgeber: Vieweg & Teubner
161 Seiten
Sprache: eng/Englisch

Buch in der Datenbank seit 03.10.2011 08:13:42
Buch zuletzt gefunden am 21.06.2017 11:34:37
ISBN/EAN: 9783834895462

ISBN - alternative Schreibweisen:
978-3-8348-9546-2


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