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TitleModeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations [electronic resource] / edited by Ivo Babuska, William D. Henshaw, Joseph E. Oliger, Joseph E. Flaherty, John E. Hopcroft, Tayfun Tezduyar
ImprintNew York, NY : Springer New York, 1995
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Descript LII, 450 p. online resource


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 threeโ{128}{148}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

Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis


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