| Document Type
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BL
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| Record Number
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1020149
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| Doc. No
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b774519
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| Main Entry
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Rivière, Béatrice
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| Title & Author
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Discontinuous Galerkin methods for solving elliptic and parabolic equations : : theory and implementation /\ Béatrice Rivière, Rice University, Houston, Texas.
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| Publication Statement
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Philadelphia, PA :: SIAM, Society for Industrial and Applied Mathematics,, [2008]
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, ©2008
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| Series Statement
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Frontiers in applied mathematics
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| Page. NO
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xxii, 190 pages :: illustrations (some color) ;; 26 cm.
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| ISBN
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089871656X
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: 9780898716566
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| Bibliographies/Indexes
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Includes bibliographical references (pages 179-187) and index.
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| Contents
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One-dimensional problem -- Higher dimensional problem -- Purely parabolic problems -- Parabolic problems with convection -- Linear elasticity -- Stokes flow -- Navier-Stokes flow -- Flow in porous media.
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| Abstract
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"Discontinuous Galerkin (DG) methods for solving partial differential equations, developed in the late 1990s, have become popular among computational scientists. This book covers both theory and computation as it focuses on three primal DG methods - the symmetric interior penalty Galerkin, incomplete interior penalty Galerkin, and nonsymmetric interior penalty Galerkin - which are variations of interior penalty methods. The author provides the basic tools for analysis and discusses coding issues, including data structure, construction of local matrices, and assembling of the global matrix. Computational examples and applications to important engineering problems are also included."--Jacket.
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| Subject
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Differential equations, Elliptic-- Numerical solutions.
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Differential equations, Parabolic-- Numerical solutions.
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Galerkin methods.
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Análise numérica.
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Differential equations, Elliptic-- Numerical solutions.
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Differential equations, Parabolic-- Numerical solutions.
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Diskontinuierliche Galerkin-Methode
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Elliptische Differentialgleichung
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Equações diferenciais parciais elíticas-parabólicas quasilineares.
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Galerkin methods.
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Método dos elementos finitos.
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Numerisk analys.
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Parabolische Differentialgleichung
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Partiella differentialekvationer.
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Benaderingen (wiskunde)
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Dynamische systemen.
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Elliptische differentiaalvergelijkingen.
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MATLAB.
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Numerieke wiskunde.
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Optimaliseren.
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Opvolging.
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Parabolische differentiaalvergelijkingen.
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Variatierekening.
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| Dewey Classification
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518/.64
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| LC Classification
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QA377.R58 2008
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| NLM classification
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31.45bcl
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65-99msc
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SK 920rvk
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