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The Resource Advanced finite element methods and applications, Thomas Apel and Olaf Steinbach (eds.), (electronic book)

Advanced finite element methods and applications, Thomas Apel and Olaf Steinbach (eds.), (electronic book)

Label
Advanced finite element methods and applications
Title
Advanced finite element methods and applications
Statement of responsibility
Thomas Apel and Olaf Steinbach (eds.)
Contributor
Editor
Subject
Language
eng
Member of
Cataloging source
EBLCP
Dewey number
629.108
Index
no index present
LC call number
TL521
LC item number
.A384 2010
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorDate
1967-
http://library.link/vocab/relatedWorkOrContributorName
  • Apel, Thomas
  • Steinbach, Olaf
Series statement
Lecture Notes in Applied and Computational Mechanics
Series volume
66
http://library.link/vocab/subjectName
  • Finite element method
  • Computer science
  • Engineering mathematics
  • Mechanics, Applied
Label
Advanced finite element methods and applications, Thomas Apel and Olaf Steinbach (eds.), (electronic book)
Instantiates
Publication
Note
Splitting of Elements
Antecedent source
unknown
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
  • A Brief History of the Parallel Dawn in Karl-Marx-Stadt/Chemnitz; Introduction; Ancient Hardware and Its Development; Transputer; Available Parallel Computers; Some Remarks on Performance; The Scientific Environment; Summer School 1988; Summer School 1989; Summer School 1990; Multigrid Seminars; FEM Symposia; Historic Numerical Examples; Parallel Computing in 2012; State of Hardware; Performance Numbers; Conclusions; References; Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes; Introduction
  • HDG DiscretizationDomain Decomposition Preconditioning; Schwarz Type Domain Decomposition; BDDC Preconditioners; Traces and Polynomial Extensions on the Interval; Extension from a Vertex; Extension from an Edge; Numerical Results; References; Fast Domain Decomposition Algorithms for Elliptic Problems with Piecewise Variable Orthotropism; Introduction; Single Thin Rectangle; Discrete Analogues of Boundary Norms for Harmonic Functions in Thin Rectangles; Finite-Difference Shape Dependent Boundary Norm for Finite Element Functions; Preconditioning by Nonoverlapping Domain Decomposition
  • Orthotropic Discretization with Arbitrary Aspect Ratio on Thin RectanglesFinite Element Space Decomposition; Reducing to Isotropic Discretization; Compatible Schur Complement Preconditioner; Piecewise Orthotropic Discretizations on Domains Composed of Rectangles with Arbitrary Aspect Ratios; Schur Complement and Domain Decomposition Algorithms; Concluding Remarks; References; Inexact Additive Schwarz Solvers for hp-FEMDiscretizations in Three Dimensions; Introduction; Setting of the Problem, Discretization; The Solution of the Linear System; The Scalar Elliptic Case
  • The Preconditioner for Lame Numerical Experiments; Scalar Elliptic Problems; Lame Equations of Linear Elasticity; Conclusions; References; A Rigorous Error Analysis of Coupled FEM-BEM Problems with Arbitrary Many Subdomains; Introduction; Model Problem and FEM-BEM Coupling; Model Problem; Subdomain Decomposition; Operators Associated to the Potential Equation; Boundary Integral Operators; Continuous Domain-Skeleton Formulation; Symmetric FEM-BEM Coupling; MainResult; Explicit Bounds for the Constants; Explicit Bounds for Poincare Constants; An Extension Operator for Polytopes
  • Explicit Bounds for Boundary Integral OperatorsError Analysis; A Lemma a la Strang; Error Estimate for the Dirichlet Data; Error Estimate for the Neumann Data; Proof of Theorem 1; Conclusion and Extensions; References; A Review of Anisotropic Refinement Methods for Triangular Meshes in FEM; Introduction; Background; Refinement Criteria; Interpolation Error Estimates; Post-processing and Recovery Techniques; Residual Estimates; Local Problem Estimates; Hierarchical Estimates; Dual Weighted Residual (DWR) Estimates; Refinement Strategies; Node Relocation; Anisotropic Re-meshing
Control code
SPR801364159
Dimensions
unknown
Extent
1 online resource (379 p.)
File format
unknown
Form of item
online
Isbn
9783642303159
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
Advanced finite element methods and applications, Thomas Apel and Olaf Steinbach (eds.), (electronic book)
Publication
Note
Splitting of Elements
Antecedent source
unknown
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
  • A Brief History of the Parallel Dawn in Karl-Marx-Stadt/Chemnitz; Introduction; Ancient Hardware and Its Development; Transputer; Available Parallel Computers; Some Remarks on Performance; The Scientific Environment; Summer School 1988; Summer School 1989; Summer School 1990; Multigrid Seminars; FEM Symposia; Historic Numerical Examples; Parallel Computing in 2012; State of Hardware; Performance Numbers; Conclusions; References; Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes; Introduction
  • HDG DiscretizationDomain Decomposition Preconditioning; Schwarz Type Domain Decomposition; BDDC Preconditioners; Traces and Polynomial Extensions on the Interval; Extension from a Vertex; Extension from an Edge; Numerical Results; References; Fast Domain Decomposition Algorithms for Elliptic Problems with Piecewise Variable Orthotropism; Introduction; Single Thin Rectangle; Discrete Analogues of Boundary Norms for Harmonic Functions in Thin Rectangles; Finite-Difference Shape Dependent Boundary Norm for Finite Element Functions; Preconditioning by Nonoverlapping Domain Decomposition
  • Orthotropic Discretization with Arbitrary Aspect Ratio on Thin RectanglesFinite Element Space Decomposition; Reducing to Isotropic Discretization; Compatible Schur Complement Preconditioner; Piecewise Orthotropic Discretizations on Domains Composed of Rectangles with Arbitrary Aspect Ratios; Schur Complement and Domain Decomposition Algorithms; Concluding Remarks; References; Inexact Additive Schwarz Solvers for hp-FEMDiscretizations in Three Dimensions; Introduction; Setting of the Problem, Discretization; The Solution of the Linear System; The Scalar Elliptic Case
  • The Preconditioner for Lame Numerical Experiments; Scalar Elliptic Problems; Lame Equations of Linear Elasticity; Conclusions; References; A Rigorous Error Analysis of Coupled FEM-BEM Problems with Arbitrary Many Subdomains; Introduction; Model Problem and FEM-BEM Coupling; Model Problem; Subdomain Decomposition; Operators Associated to the Potential Equation; Boundary Integral Operators; Continuous Domain-Skeleton Formulation; Symmetric FEM-BEM Coupling; MainResult; Explicit Bounds for the Constants; Explicit Bounds for Poincare Constants; An Extension Operator for Polytopes
  • Explicit Bounds for Boundary Integral OperatorsError Analysis; A Lemma a la Strang; Error Estimate for the Dirichlet Data; Error Estimate for the Neumann Data; Proof of Theorem 1; Conclusion and Extensions; References; A Review of Anisotropic Refinement Methods for Triangular Meshes in FEM; Introduction; Background; Refinement Criteria; Interpolation Error Estimates; Post-processing and Recovery Techniques; Residual Estimates; Local Problem Estimates; Hierarchical Estimates; Dual Weighted Residual (DWR) Estimates; Refinement Strategies; Node Relocation; Anisotropic Re-meshing
Control code
SPR801364159
Dimensions
unknown
Extent
1 online resource (379 p.)
File format
unknown
Form of item
online
Isbn
9783642303159
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

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