Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

Language: English

Published by Springer-Verlag New York Inc., US, 1995

0387945423 / 9780387945422

Series: Book 28 of 49 - The IMA Volumes in Mathematics and its Applications

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This IMA Volume in Mathematics and its Applications MODELING, MESH GENERATION, AND ADAPTIVE NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS is based on the proceedings of the 1993 IMA Summer Program "Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations." We thank Ivo Babuska, Joseph E. Flaherty, William D. Hen- shaw, John E. Hopcroft, Joseph E. Oliger, and Tayfun Tezduyar for orga- nizing the workshop and editing the proceedings. We also take this oppor- tunity to thank those agencies whose financial support made the summer program possible: the National Science Foundation (NSF), the Army Re- search Office (ARO) the Department of Energy (DOE), the Minnesota Su- percomputer Institute (MSI), and the Army High Performance Computing Research Center (AHPCRC). A vner Friedman Willard Miller, Jr. xiii PREFACE Mesh generation is one of the most time consuming aspects of com- putational solutions of problems involving partial differential equations. It is, furthermore, no longer acceptable to compute solutions without proper verification that specified accuracy criteria are being satisfied.Mesh gen- eration must be related to the solution through computable estimates of discretization errors. Thus, an iterative process of alternate mesh and so- lution generation evolves in an adaptive manner with the end result that the solution is computed to prescribed specifications in an optimal, or at least efficient, manner. While mesh generation and adaptive strategies are becoming available, major computational challenges remain. One, in particular, involves moving boundaries and interfaces, such as free-surface flows and fluid-structure interactions.

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Title
Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
Author
Ivo Babuska
Publisher
Springer-Verlag New York Inc., US
Publication year
1995
Condition
New
Binding
Hardback
Language
English
ISBN 10
0387945423
ISBN 13
9780387945422
Edition
1995 ed.
Series
Book 28 of 49: The IMA Volumes in Mathematics and its Applications

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