A multiscale discontinuous Galerkin method for convection-diffusion-reaction problems

被引：22

作者：

Kim, Mi-Young ^{[1
]}

Wheeler, Mary F. ^{[2
]}

机构：

[1] Inha Univ, Dept Math, Inchon 402751, South Korea

[2] Univ Texas Austin, Ctr Subsurface Modelling, Inst Computat Engn & Sci, Austin, TX 78712 USA

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2014年 / 68卷 / 12期

关键词：

Discontinuous Galerkin method; Multiscale discontinuous Galerkin method; Convection-diffusion-reaction problem; FINITE-ELEMENT-METHOD; MODEL;

D O I：

10.1016/j.camwa.2014.08.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a general framework of multiscale discontinuous Galerkin methods developed in Buffa et al. (2006), Hughes et al. (2006) for general second-order partial differential equations. We establish stability of the method and prove the error estimates. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：2251 / 2261

页数：11

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