Parallel Versions Of Approximate Factorization Method For Solving 2D And 3D Elliptic Equations¹

Article type: Research Article

Authors: Milyukova, Olga Yu.^{; 2; 3}

Affiliations: Institute for Mathematical Modelling, Russian Academy of Sciences Minsskaya sq. 4a, 125047, Moscow, Russia

Correspondence: [3] The address for manuscript correspondence: Olga Yu. Milyukova, Institute for Mathematical Modelling, Russian Academy of Sciences, Miusskaya sq. 4a, 125047, Moscow, Russia. Tel. (office): (+7095) 973-03-85. Fax: (+7095) 972-07-23. E-mail: [email protected].

Note: [1] This work was supported by the Russian Foundation for Basic Research, projects No. 99-01-01215, 98-01-00155, and 99-07-90388.

Note: [2] E-mail: [email protected].

Abstract: Parallel versions of MICCG(0) are proposed for solving finite difference counterparts of 2D and 3D elliptic boundary value problems on distributed memory parallel computers. The unknowns reordering strategies are employed, and the preconditioner matrix is reconstructed. The convergence speed and efficiency of the proposed methods are examined.

Keywords: Preconditioning, Ordering strategies, Parallel computations

DOI: 10.3233/JCM-2002-21-227

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 2, no. 1-2, pp. 195-199, 2002