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

Bibliographic Details
Other Authors: Babuska, Ivo (Editor), Flaherty, Joseph E. (Editor), Henshaw, William D. (Editor), Hopcroft, John E. (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 1995, 1995
Edition:1st ed. 1995
Series:The IMA Volumes in Mathematics and its Applications
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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