A parallel AMG for overlapping and non-overlapping domain decomposition

Gundolf Haase

Abstract

There exist several approaches for the parallel solving of huge systems of linear equations resulting from the finite element (f.e.) discretization of $2^{{\rm nd}}$ order elliptic pdes. On the other hand, there exists a great demand for Algebraic Multigrid solvers (AMG) which have as input only matrix and right hand side or, as a substitute, the appropriate information per element. In this paper we propose a general parallel AMG algorithm using overlapping or non-overlapping data decompositions.

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Key words

algebraic multigrid, parallel algorithms, domain decomposition, iterative solvers.

AMS subject classifications

65F10, 65N22, 65Y05.

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