Numerical solution of variational inequalities by adaptive finite elements
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The work Numerical solution of variational inequalities by adaptive finite elements represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Numerical solution of variational inequalities by adaptive finite elements
Resource Information
The work Numerical solution of variational inequalities by adaptive finite elements represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Numerical solution of variational inequalities by adaptive finite elements
 Statement of responsibility
 FranzTheo Suttmeier
 Subject

 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions
 Error analysis (Mathematics)
 Error analysis (Mathematics)
 Error analysis (Mathematics)
 Error analysis (Mathematics)
 Finite element method
 Finite element method
 Finite element method
 Finite element method
 Mathematics
 Mathematics, general
 Numerical Analysis
 Variational inequalities (Mathematics)
 Variational inequalities (Mathematics)
 Variational inequalities (Mathematics)
 Variational inequalities (Mathematics)
 Language
 eng
 Summary
 FranzTheo Suttmeier describes a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the socalled DualWeightedResidual 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 numerically computed dual solution. The resulting local error indicators are used in a feedback process for generating economical meshes which are tailored according 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
 Cataloging source
 GW5XE
 Dewey number
 518/.25
 Illustrations
 illustrations
 Index
 no index present
 Intended audience
 Students and researchers from the field of numerical mathematics, and users of adaptive finite element techniques
 LC call number
 QC20.7.F56
 LC item number
 S88 2008
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Advances in numerical mathematics
Context
Context of Numerical solution of variational inequalities by adaptive finite elementsWork of
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