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

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations, With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This , Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
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  • Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations
  • Written by author Ivo Babuska
  • Published by Springer-Verlag New York, LLC, 7/31/2012
  • With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This
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Book Categories

Authors

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
Superconvergence of the derivative patch recovery technique and a posteriori error estimation 431


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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations, With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This , Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations, With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This , Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations, With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This , Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

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

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