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The Resource Numerical solution of variational inequalities by adaptive finite elements, Franz-Theo Suttmeier

Numerical solution of variational inequalities by adaptive finite elements, Franz-Theo Suttmeier

Label
Numerical solution of variational inequalities by adaptive finite elements
Title
Numerical solution of variational inequalities by adaptive finite elements
Statement of responsibility
Franz-Theo Suttmeier
Creator
Subject
Language
eng
Summary
Franz-Theo 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 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 numerically computed dual solution. The resulting local error indicators are used in a feed-back 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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Suttmeier, Franz-Theo
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, Franz-Theo Suttmeier
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 155-161)
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 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
Control code
325000443
Dimensions
unknown
Edition
1st ed.
Extent
1 online resource (x, 161 pages)
Form of item
online
Isbn
9783834806642
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 9786612038358
  • 10.1007/978-3-8348-9546-2.
Other physical details
illustrations (some color).
http://library.link/vocab/ext/overdrive/overdriveId
978-3-8348-0664-2
Specific material designation
remote
System control number
(OCoLC)325000443
Label
Numerical solution of variational inequalities by adaptive finite elements, Franz-Theo Suttmeier
Publication
Bibliography note
Includes bibliographical references (pages 155-161)
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 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
Control code
325000443
Dimensions
unknown
Edition
1st ed.
Extent
1 online resource (x, 161 pages)
Form of item
online
Isbn
9783834806642
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
  • 9786612038358
  • 10.1007/978-3-8348-9546-2.
Other physical details
illustrations (some color).
http://library.link/vocab/ext/overdrive/overdriveId
978-3-8348-0664-2
Specific material designation
remote
System control number
(OCoLC)325000443

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