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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
IMA Volume 75

ISBN 0-387-94542-3

Springer-Verlag Information/Order Form

Editors: Ivo Babuska, Joseph E. Flaherty, John E. Hopcroft, William D. Henshaw, Joseph E. Oliger and Tayfun Tezduyar


Week 1

NURBS and grid generation
Robert E. Barnhill, Gerald Farin, and Bernd Hamann

Coping with degeneracies in Delaunay triangulation
Isabel Beichl and Francis Sullivan

Geometric approaches to mesh generation
Christoph M. Hoffmann

Refining quadrilateral and brick element meshes
Robert Schneiders and Jürgen Debye

Automatic meshing of curved three-dimensional domains: Curving finite elements and curvature-based mesh control
Mark S. Shephard, Saikat Dey and Marcel K. Georges

Week 2

Optimization of tetrahedral meshes
Eric Briére de l'Isle and Paul Louis George

A class of error estimators based on interpolating the finite element solutions for reaction diffusion equations
Tao Lin and Hong Wang

Accuracy-based time step criteria for solving parabolic equations
Rabi Mohtar and Larry Segerlind

Week 3

Adaptive domain decomposition methods for advection-diffusion problems
Claudio Carlenzoli and Alfio Quarteroni

Lp - posteriori error analysis of mixed methods for linear and quasilinear elliptic problems
Zhangxin Chen

A characteristic-Galerkin method for the Navier-Stokes equations in thin domains with free boundaries
Giovanni M. Cornetti

Parallel partitioning strategies for the adaptive solution of conservation laws
Karen D. Devine, Joseph E. Flaherty, Raymond M. Loy and Stephen R. Wheat

Adaptive multi-grid method for a periodic heterogeneous medium in 1-D
Jacob Fish and Vladimir Belsky

A knowledge-based approach to the adaptive finite element analysis
Kamyar Haghighi and Eun Kang

An asymptotically exact, pointwise, a posteriori error estimator for the finite element method with super convergence properties
Jens Hugger

A mesh-adaptive collocation technique for the simulation of advection-dominated single- and multiphase transport phenomena in porous media
Manfred Koch

Three-step H-P adaptive strategy for the incompressible Navier-Stokes equations
J. Tinsley Oden, Weihan Wu, and Mark Ainsworth

Applications of automatic mesh generation and adaptive methods in computational medicine
J.A. Schmidt, C.R. Johnson, J.C. Eason, and R.S. MacLeod

Solutions of elastic-plastic stress analysis problems by the p-version of the finite element method
Barna A. Szabó, Ricardo L. Actis, and Stefan M. Holzer

Adaptive finite volume methods for time-dependent P.D.E.S
J. Ware and M. Berzins

Superconvergence of the derivative patch recovery technique and a posteriori error estimation
Zhimin Zhang and J.Z. Zhu *The IMA's Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations was held
July 6 -- 23, 1993.

IMA Volumes in Mathematics and its Applications