The Resource hp-Finite Element Methods for Singular Perturbations, by Jens M. Melenk, (electronic resource)

hp-Finite Element Methods for Singular Perturbations, by Jens M. Melenk, (electronic resource)

Label
hp-Finite Element Methods for Singular Perturbations
Title
hp-Finite Element Methods for Singular Perturbations
Statement of responsibility
by Jens M. Melenk
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously
Member of
http://library.link/vocab/creatorName
Melenk, Jens M
Image bit depth
0
LC call number
QA297-299.4
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1796
http://library.link/vocab/subjectName
  • Mathematics
  • Global analysis
  • Differential equations, partial
  • Numerical analysis
  • Mathematics
  • Numerical Analysis
  • Global Analysis and Analysis on Manifolds
  • Partial Differential Equations
Label
hp-Finite Element Methods for Singular Perturbations, by Jens M. Melenk, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1.Introduction -- Part I: Finite Element Approximation -- 2. hp-FEM for Reaction Diffusion Problems: Principal Results -- 3. hp Approximation -- Part II: Regularity in Countably Normed Spaces -- 4. The Countably Normed Spaces blb,e -- 5. Regularity Theory in Countably Normed Spaces -- Part III: Regularity in Terms of Asymptotic Expansions -- 6. Exponentially Weighted Countably Normed Spaces -- Appendix -- References -- Index
Dimensions
unknown
Extent
XIV, 326 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540457817
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b84212
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-45781-7
Label
hp-Finite Element Methods for Singular Perturbations, by Jens M. Melenk, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1.Introduction -- Part I: Finite Element Approximation -- 2. hp-FEM for Reaction Diffusion Problems: Principal Results -- 3. hp Approximation -- Part II: Regularity in Countably Normed Spaces -- 4. The Countably Normed Spaces blb,e -- 5. Regularity Theory in Countably Normed Spaces -- Part III: Regularity in Terms of Asymptotic Expansions -- 6. Exponentially Weighted Countably Normed Spaces -- Appendix -- References -- Index
Dimensions
unknown
Extent
XIV, 326 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540457817
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/b84212
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-45781-7

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