The heterogeneous multiscale method based on the discontinuous Galerkin method for hyperbolic and parabolic problems

被引：22

作者：

Chen, SQ ^{[1
]}

E, WN

Shu, CW

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

MULTISCALE MODELING & SIMULATION | 2005年 / 3卷 / 04期

关键词：

heterogeneous multiscale method; homogenization; discontinuous Galerkin method;

D O I：

10.1137/040612622

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we develop a discontinuous Galerkin (DG) method, within the framework of the heterogeneous multiscale method (HMM), for solving hyperbolic and parabolic multiscale problems. Hyperbolic scalar equations and systems, as well as parabolic scalar problems, are considered. Error estimates are given for the linear equations, and numerical results are provided for the linear and nonlinear problems to demonstrate the capability of the method.

引用

页码：871 / 894

页数：24

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