Coercive domain decomposition algorithms for advection-diffusion equations and systems

被引:13
作者
Alonso, A
Trotta, RL
Valli, A
机构
[1] CFD, CRS4, I-09123 Cagliari, Italy
[2] Univ Trent, Dipartimento Matemat, I-38050 Trento, Italy
关键词
coercive domain decomposition methods; advection-diffusion equations and systems;
D O I
10.1016/S0377-0427(98)00091-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Two families of non-overlapping coercive domain decomposition methods are proposed for the numerical approximation of advection-dominated advection-diffusion equations and systems. Convergence is proven for both the continuous and the discrete problem. The rate of convergence of the first method is shown to be independent of the total number of degrees of freedom. Several numerical results are presented, showing the efficiency and robustness of the proposed iterative algorithms. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:51 / 76
页数:26
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