Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations (The IMA Volumes in Mathematics and its Applications, 75, Band 75) - Hardcover

Hardcover

ISBN 10: 0387945423 ISBN 13: 9780387945422

Verlag: Springer, 1995

Inhaltsangabe

Week 1.- NURBS and grid generation.- Coping with degeneracies in Delaunay triangulation.- Geometric approaches to mesh generation.- Refining quadrilateral and brick element meshes.- Automatic meshing of curved three-dimensional domains: Curving finite elements and curvature-based mesh control.- Week 2.- Optimization of tetrahedral meshes.- A class of error estimators based on interpolating the finite element solutions for reaction-diffusion equations.- Accuracy-based time step criteria for solving parabolic equations.- Week 3.- Adaptive domain decomposition methods for advection-diffusion problems.- LP-posteriori error analysis of mixed methods for linear and quasilinear elliptic problems.- A characteristic-Galerkin method for the Navier-Stokes equations in thin domains with free boundaries.- Parallel partitioning strategies for the adaptive solution of conservation laws.- Adaptive multi-grid method for a periodic heterogeneous medium in 1 ? D.- A knowledge-based approach to the adaptive finite element analysis.- An asymptotically exact, pointwise, a posteriori error estimator for the finite element method with super convergence properties.- A mesh-adaptive collocation technique for the simulation of advection-dominated single- and multiphase transport phenomena in porous media.- Three-step H-P adaptive strategy for the incompressible Navier-Stokes equations.- Applications of automatic mesh generation and adaptive methods in computational medicine.- Solution of elastic-plastic stress analysis problems by the p-version of the finite element method.- Adaptive finite volume methods for time-dependent P.D.E.S.- Superconvergence of the derivative patch recovery technique and a posteriori error estimation.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 1995
• Sprache: Englisch
• ISBN 10: 0387945423
• ISBN 13: 9780387945422
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 502
• Herausgeber: Babuska Ivo, Flaherty Joseph E., Henshaw William D., Hopcroft John E., Oliger Joseph E., Tezduyar Tayfun
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