PARALLELIZATION OF A FINITE VOLUMES DISCRETIZATION FOR ANISOTROPIC DIFFUSION PROBLEMS USING AN IMPROVED SCHUR COMPLEMENT TECHNIQUE

被引：0

作者：

Belhadj, Hassan ^{[1
]}

Khallouq, Samir ^{[2
]}

Rhoudaf, Mohamed ^{[3
]}

机构：

[1] Abdelmalek Essaadi Univ, Fac Sci & Tech Tangier, Lab Math & Applicat, Dept Math, BP 416, Tangier 90000, Morocco

[2] Moulay Ismail Univ Meknes, Fac Sci & Tech Errachidia, Dept Math, BP 509, Boutalamine Errachidia 57000, Morocco

[3] Moulay Ismail Univ Meknes, Fac Sci Meknes, Dept Math & Informat, BP 11201, Zitoune Meknes, Morocco

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 07期

关键词：

Anisotropic diffusion problems; discrete duality finite volume (DDFV); convergence; domain decomposition methods; Schur complement method; parallel computing; CONVERGENCE; SCHEMES;

D O I：

10.3934/dcdss.2020260

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present in this paper a new algorithm combining a finite volume method with an improved Schur complement technique to solve 2D anisotropic diffusion problems on general meshes. After having proved the convergence of the finite volume method, we have given a description of the proposed algorithm in the case of two nonoverlapping subdomains. Several numerical tests are achieved which illustrate the theoretical results of convergence of the finite volume method and show the advantages of the proposed algorithm.

引用

页码：2075 / 2099

页数：25

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