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Original Articles

A class of explicit preconditioned conjugate gradient methods for solving large finite element systems

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Pages 189-206 | Received 12 Sep 1991, Published online: 19 Mar 2007
 

Abstract

A class of Explicit Preconditioned Conjugate Gradient (EPCG) methods for solving large sparse linear systems of algebraic equations resulting from the Finite Element discretization of Elliptic and Parabolic PDE's is introduced. The EPCG methods are based on explicit Approximate Inverse Matrix techniques and are particularly suitable for solving numerically initial/boundary-value problems on multiprocessor systems. The application of the new methods on 2D-linear boundary-value problems is discussed and numerical results are given.

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