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

Ivo Babuska and William D. Henshaw

Grid generation.

Bookcover

Format: Hardcover, English, 502 pages
ISBN: 0387945423
Publisher: Springer-Verlag
Pub. Date: 1995

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Table of Contents

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

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Grid Generation


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