The Resource Numerical solution of variational inequalities by adaptive finite elements, FranzTheo Suttmeier
Numerical solution of variational inequalities by adaptive finite elements, FranzTheo Suttmeier
Resource Information
The item Numerical solution of variational inequalities by adaptive finite elements, FranzTheo Suttmeier represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Numerical solution of variational inequalities by adaptive finite elements, FranzTheo Suttmeier represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Edition
 1st ed.
 Extent
 1 online resource (x, 161 pages)
 Contents

 Models in elastoplasticity
 The dualweightedresidual 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
 Timedependent problems
 Applications
 Iterative Algorithms
 Conclusion
 Isbn
 9783834895462
 Label
 Numerical solution of variational inequalities by adaptive finite elements
 Title
 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
 http://library.link/vocab/creatorName
 Suttmeier, FranzTheo
 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
 http://library.link/vocab/subjectName

 Finite element method
 Variational inequalities (Mathematics)
 Error analysis (Mathematics)
 Differential equations, Partial
 Variational inequalities (Mathematics)
 Error analysis (Mathematics)
 Differential equations, Partial
 Finite element method
 Differential equations, Partial
 Error analysis (Mathematics)
 Finite element method
 Variational inequalities (Mathematics)
 Mathematics
 Numerical Analysis
 Mathematics, general
 Label
 Numerical solution of variational inequalities by adaptive finite elements, FranzTheo Suttmeier
 Bibliography note
 Includes bibliographical references (pages 155161)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Models in elastoplasticity  The dualweightedresidual 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  Timedependent problems  Applications  Iterative Algorithms  Conclusion
 Control code
 325000443
 Dimensions
 unknown
 Edition
 1st ed.
 Extent
 1 online resource (x, 161 pages)
 Form of item
 online
 Isbn
 9783834895462
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9786612038358
 10.1007/9783834895462.
 Other physical details
 illustrations (some color).
 http://library.link/vocab/ext/overdrive/overdriveId
 9783834806642
 Specific material designation
 remote
 System control number
 (OCoLC)325000443
 Label
 Numerical solution of variational inequalities by adaptive finite elements, FranzTheo Suttmeier
 Bibliography note
 Includes bibliographical references (pages 155161)
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Models in elastoplasticity  The dualweightedresidual 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  Timedependent problems  Applications  Iterative Algorithms  Conclusion
 Control code
 325000443
 Dimensions
 unknown
 Edition
 1st ed.
 Extent
 1 online resource (x, 161 pages)
 Form of item
 online
 Isbn
 9783834895462
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9786612038358
 10.1007/9783834895462.
 Other physical details
 illustrations (some color).
 http://library.link/vocab/ext/overdrive/overdriveId
 9783834806642
 Specific material designation
 remote
 System control number
 (OCoLC)325000443
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)
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