The Resource Adaptive Moving Mesh Methods, by Weizhang Huang, Robert D. Russell, (electronic resource)

Adaptive Moving Mesh Methods, by Weizhang Huang, Robert D. Russell, (electronic resource)

Label
Adaptive Moving Mesh Methods
Title
Adaptive Moving Mesh Methods
Statement of responsibility
by Weizhang Huang, Robert D. Russell
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Moving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena. Currently there exist three main strategies for mesh adaptation, namely, to use mesh subdivision, local high order approximation (sometimes combined with mesh subdivision), and mesh movement. The latter type of adaptive mesh method has been less well studied, both computationally and theoretically. This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. The partial differential equations considered are mainly parabolic (diffusion-dominated, rather than convection-dominated). The extensive bibliography provides an invaluable guide to the literature in this field. Each chapter contains useful exercises. Graduate students, researchers and practitioners working in this area will benefit from this book. Weizhang Huang is a Professor in the Department of Mathematics at the University of Kansas. Robert D. Russell is a Professor in the Department of Mathematics at Simon Fraser University
Member of
Is Subseries of
http://library.link/vocab/creatorName
Huang, Weizhang
Dewey number
515/.353
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • 5QGtzAwjAog
  • cUUjMOnj3ao
Language note
English
LC call number
QA297-299.4
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Russell, Robert D.
Series statement
Applied Mathematical Sciences,
Series volume
174
http://library.link/vocab/subjectName
  • Numerical analysis
  • Computer science
  • Differential equations, partial
  • Numerical Analysis
  • Computational Mathematics and Numerical Analysis
  • Partial Differential Equations
Label
Adaptive Moving Mesh Methods, by Weizhang Huang, Robert D. Russell, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 409-425) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Introduction -- Adaptive Mesh Movement in 1D -- Discretization of PDEs on Time-Varying Meshes -- Basic Principles of Multidimensional Mesh Adaption -- Monitor Functions -- Variational Mesh Adaptive Methods -- Velocity-Based Adaptive Methods -- Appendix: Sobolev Spaces -- Appendix: Arithmetic Mean Geometric Mean Inequality and Jensen's Inequality -- Bibliography
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (445 p.)
Form of item
online
Isbn
9781441979162
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-7916-2
Specific material designation
remote
System control number
  • (CKB)2550000000020026
  • (EBL)3066036
  • (SSID)ssj0000448938
  • (PQKBManifestationID)11284659
  • (PQKBTitleCode)TC0000448938
  • (PQKBWorkID)10428189
  • (PQKB)10431550
  • (DE-He213)978-1-4419-7916-2
  • (MiAaPQ)EBC3066036
  • (EXLCZ)992550000000020026
Label
Adaptive Moving Mesh Methods, by Weizhang Huang, Robert D. Russell, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 409-425) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Preface -- Introduction -- Adaptive Mesh Movement in 1D -- Discretization of PDEs on Time-Varying Meshes -- Basic Principles of Multidimensional Mesh Adaption -- Monitor Functions -- Variational Mesh Adaptive Methods -- Velocity-Based Adaptive Methods -- Appendix: Sobolev Spaces -- Appendix: Arithmetic Mean Geometric Mean Inequality and Jensen's Inequality -- Bibliography
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (445 p.)
Form of item
online
Isbn
9781441979162
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4419-7916-2
Specific material designation
remote
System control number
  • (CKB)2550000000020026
  • (EBL)3066036
  • (SSID)ssj0000448938
  • (PQKBManifestationID)11284659
  • (PQKBTitleCode)TC0000448938
  • (PQKBWorkID)10428189
  • (PQKB)10431550
  • (DE-He213)978-1-4419-7916-2
  • (MiAaPQ)EBC3066036
  • (EXLCZ)992550000000020026

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