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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations : Ima Volumes in Mathematics and Its Applications - Ivo Babuska

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

Ima Volumes in Mathematics and Its Applications

By: Ivo Babuska (Editor), Joseph E. Flaherty (Editor), William D. Henshaw (Editor), J. E. Hopcroft (Editor), Joseph Oliger (Editor)

Hardcover Published: 14th July 1995
ISBN: 9780387945422
Number Of Pages: 450

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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.

Workshop schedule
List of participants
NURBS and grid generationp. 1
Coping with degeneracies in Delaunay triangulationp. 23
Geometric approaches to mesh generationp. 31
Refining quadrilateral and brick element meshesp. 53
Automatic meshing of curved three-dimensional domains: Curving finite elements and curvature-based mesh controlp. 67
Optimization of tetrahedral meshesp. 97
A class of error estimators based on interpolating the finite element solutions for reaction-diffusion equationsp. 129
Accuracy-based time step criteria for solving parabolic equationsp. 153
Adaptive domain decomposition methods for advection-diffusion problemsp. 165
L[superscript p]-posteriori error analysis of mixed methods for linear and quasilinear elliptic problemsp. 187
A characteristic-Galerkin method for the Navier-Stokes equations in thin domains with free boundariesp. 201
Parallel partitioning strategies for the adaptive solution of conservation lawsp. 215
Adaptive multi-grid method for a periodic heterogeneous medium in 1 - Dp. 243
A knowledge-based approach to the adaptive finite element analysisp. 267
An asymptotically exact, pointwise, a posteriori error estimator for the finite element method with super convergence propertiesp. 277
A mesh-adaptive collocation technique for the simulation of advection-dominated single- and multiphase transport phenomena in porous mediap. 307
Three-step H-P adaptive strategy for the incompressible Navier-Stokes equationsp. 347
Applications of automatic mesh generation and adaptive methods in computational medicinep. 367
Solution of elastic-plastic stress analysis problems by the p-version of the finite element methodp. 395
Adaptive finite volume methods for time-dependent P.D.E.S.p. 417
Superconvergence of the derivative patch recovery technique and a posteriori error estimationp. 431
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387945422
ISBN-10: 0387945423
Series: Ima Volumes in Mathematics and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 450
Published: 14th July 1995
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 2.87
Weight (kg): 0.89

Earn 496 Qantas Points
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