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The Resource Advanced Boundary Element Methods : Treatment of Boundary Value, Transmission and Contact Problems, by Joachim Gwinner, Ernst Peter Stephan, (electronic resource)

Advanced Boundary Element Methods : Treatment of Boundary Value, Transmission and Contact Problems, by Joachim Gwinner, Ernst Peter Stephan, (electronic resource)

Creator
Author
Contributor
Summary
This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.--
Language
eng
Work
Publication
Extent
1 online resource (XVIII, 652 pages)
Contents
  • 1 Introduction
  • 2 Some Elements of Potential Theory
  • 3 A Fourier Series Approach
  • 4 Mixed BVPs, Transmission Problems and Pseudodifferential Operators
  • 5 The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation
  • 6 A Primer to Boundary Element Methods
  • 7 Advanced BEM for BVPs in Polygonal/Polyhedral Domains: h- and p-Versions
  • 8 Exponential Convergence of hp-BEM
  • 9 Mapping Properties of Integral Operators on Polygons
  • 10 A-BEM
  • 11 BEM for Contact Problems
  • 12 FEM-BEM Coupling
  • 13 Time-Domain BEM
  • A Linear Operator Theory
  • B Pseudodifferential Operators
  • C Convex and Nonsmooth Analysis, Variational Inequalities
  • D Some Implementation for BEM
  • References
  • Index
Isbn
9783319920016
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-92001-6
Instance
Label
Advanced Boundary Element Methods : Treatment of Boundary Value, Transmission and Contact Problems
Title
Advanced Boundary Element Methods
Title remainder
Treatment of Boundary Value, Transmission and Contact Problems
Statement of responsibility
by Joachim Gwinner, Ernst Peter Stephan
Creator
Contributor
Author
Subject
Language
eng
Summary
This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM, hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications. Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research. The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Gwinner, Joachim
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Stephan, Ernst Peter.
Series statement
  • Springer eBooks.
  • Springer eBooks
  • Springer Series in Computational Mathematics,
Series volume
52
http://library.link/vocab/subjectName
  • Calculus of variations
  • Integral equations
  • Mathematics
  • Numerical analysis
  • Partial differential equations
  • Physics
Label
Advanced Boundary Element Methods : Treatment of Boundary Value, Transmission and Contact Problems, by Joachim Gwinner, Ernst Peter Stephan, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-92001-6
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 -- 2 Some Elements of Potential Theory -- 3 A Fourier Series Approach -- 4 Mixed BVPs, Transmission Problems and Pseudodifferential Operators -- 5 The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation -- 6 A Primer to Boundary Element Methods -- 7 Advanced BEM for BVPs in Polygonal/Polyhedral Domains: h- and p-Versions -- 8 Exponential Convergence of hp-BEM -- 9 Mapping Properties of Integral Operators on Polygons -- 10 A-BEM -- 11 BEM for Contact Problems -- 12 FEM-BEM Coupling -- 13 Time-Domain BEM -- A Linear Operator Theory -- B Pseudodifferential Operators -- C Convex and Nonsmooth Analysis, Variational Inequalities -- D Some Implementation for BEM -- References -- Index
Control code
978-3-319-92001-6
Dimensions
unknown
Extent
1 online resource (XVIII, 652 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319920016
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
69 illustrations, 18 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1046977553
Label
Advanced Boundary Element Methods : Treatment of Boundary Value, Transmission and Contact Problems, by Joachim Gwinner, Ernst Peter Stephan, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-92001-6
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 -- 2 Some Elements of Potential Theory -- 3 A Fourier Series Approach -- 4 Mixed BVPs, Transmission Problems and Pseudodifferential Operators -- 5 The Signorini Problem and More Nonsmooth BVPs and Their Boundary Integral Formulation -- 6 A Primer to Boundary Element Methods -- 7 Advanced BEM for BVPs in Polygonal/Polyhedral Domains: h- and p-Versions -- 8 Exponential Convergence of hp-BEM -- 9 Mapping Properties of Integral Operators on Polygons -- 10 A-BEM -- 11 BEM for Contact Problems -- 12 FEM-BEM Coupling -- 13 Time-Domain BEM -- A Linear Operator Theory -- B Pseudodifferential Operators -- C Convex and Nonsmooth Analysis, Variational Inequalities -- D Some Implementation for BEM -- References -- Index
Control code
978-3-319-92001-6
Dimensions
unknown
Extent
1 online resource (XVIII, 652 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319920016
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
69 illustrations, 18 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1046977553

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