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Adaptive Moving Mesh Methods

BuchGebunden
434 Seiten
Englisch
Springererschienen am27.10.2010
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.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR53,49
BuchGebunden
EUR57,00
E-BookPDF1 - PDF WatermarkE-Book
EUR53,49

Produkt

KlappentextMoving 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.
ZusammenfassungThis book covers adaptive mesh generation and moving mesh methods for solving time-dependent PDEs. It gives a general description of the components of moving mesh methods as well as examples of their application for a number of nontrivial physical problems.
Details
ISBN/GTIN978-1-4419-7915-5
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2010
Erscheinungsdatum27.10.2010
ReiheApplied Mathematical Sciences
Seiten434 Seiten
SpracheEnglisch
Gewicht798 g
IllustrationenXVIII, 434 p.
Artikel-Nr.10128280

Inhalt/Kritik

Inhaltsverzeichnis
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.mehr
Kritik
From the reviews:

"The authors of the present monograph focus on a brand of strategies for mesh adaption on which they have been working themselves, namely so called r-adaptivity. ... It is self-contained, even usable for courses and will guide the reader to much of the current development in the field." (H. Muthsam, Monatshefte für Mathematik, Vol. 166 (1), April, 2012)

"This book is valuable for both researchers and practitioners working in adaptive moving mesh methods. It presents unified analytical tools and implementation details, and provides applications of the adaptive moving mesh methods. ... In addition, the book can be used as a textbook for an advanced course in the numerical solution of partial differential equations." (Tsu-Fen Chen, Mathematical Reviews, Issue 2012 a)

"This advanced textbook on adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations (mostly of parabolic type) is aimed at graduate students and researchers in the field of scientific computing and numerical analysis. ... The book is illustrated with numerous examples, which have been implemented in Matlab." (Kai Schneider, Zentralblatt MATH, Vol. 1227, 2012)

"The book's focus is on mesh generation and adaptation through mesh movement techniques ... . is completed by an extensive bibliographical list consisting of more than 300 references. ... this has helped to fill in the gap between the practitioner's moving mesh techniques and a sound theoretical background. It is highly accessible and is characterized by a very clear and readable style without sacrificing mathematical rigor and soundness. ... a precious reference for a broad community of numerical analysts as well as for computational scientists." (Alfio Quarteroni, SIAM Review, Vol. 53 (4), 2011)mehr