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Discontinuous Galerkin Methods For Solving Elliptic And parabolic Equations: Theory and Implementation

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Discontinuous Galerkin Methods For Solving Elliptic And parabolic Equations: Theory and Implementation

最 低 价：￥947.00

定 价：￥947.00

作 者：Beatrice Riviere 著

出 版 社：Society for Industrial and Applied Mathematic

出版时间：2008 年7月

I S B N：9780898716566

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    内容简介
    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. .
    　　discontinuous galerkin methods for solving elliptic and parabolic equations: theory and implementation is divided into three parts: part i focuses on the application of dg methods to second order elliptic problems in one dimension and in higher dimensions. part ii presents the time-dependent parabolic problems--without and with convection. part iii contains applications of dg methods to solid mechanics (linear elasticity), fluid dynamics (stokes and navier-stokes), and porous media flow (two-phase and miscible displacement). ...

    作者简介
    Beatrice Riviere is an Associate Professor in the Department of Computational and Applied Mathematics at Rice University. Her research interests include the development of high-order numerical methods for solving partial differential equations arising from complex flow and transport problems as well as the modeling of inflammation and wound healing in biomedical applications. ...
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