Stability and error analysis of mixed finite-volume methods for advection dominated problems

被引：13
作者：
Brezzi, F
Marini, LD
Micheletti, S
Pietra, P
Sacco, R
机构：
[1] Univ Pavia, Dipartimento Matemat F Casorati, I-27100 Pavia, Italy
[2] CNR, Ist Matemat Appl & Tecnol Informat, I-27100 Pavia, Italy
[3] Politecn Milan, MOX, Dipartimento Matemat F Brioschi, I-20133 Milan, Italy
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 51卷 / 05期
关键词：
finite volumes; mixed finite elements; convection-dominated flows; semiconductors; jump stabilization;
D O I：
10.1016/j.camwa.2006.03.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a convection-diffusion-reaction problem, and we analyze a stabilized mixed finite-volume scheme introduced in [1]. The scheme is presented in the format of discontinuous Galerkin methods, and error bounds are given, proving O(h(1/2)) convergence in the L-2-norm for the scalar variable, which is approximated with piecewise constant elements. (C) 2006 Elsevier Ltd. All rights reserved.
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页码：681 / 696
页数：16
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