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Solving large sparse finite element systems of nonlinear equations by explicit semi-direct methods based on approximate inverse preconditioners

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High-Performance Computing and Networking (HPCN-Europe 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1225))

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Abstract

A class of generalized sparse approximate inverse preconditioners, based on the concept of adaptable incomplete LU-type decomposition, is presented. Explicit preconditioned semi-direct methods in conjuction with modified forms of Newton/Picard methods are used for solving nonlinear initial/boundary value problems. The applicability, effectiveness and performance of the proposed hybrid iterative schemes and sparse approximate inverse preconditioners is discussed and numerical results for solving characteristic nonlinear elliptic PDE's are given.

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References

  1. LIPITAKIS E.A.(1984): Generalized EL sparse factorization techniques for solving unsymmetric FE svstems, Computing 32, 255–270.

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  2. LIPITAKIS E.A., GRAVVANIS G.A. (1995): Explicit precond. iterative methods for solving large unsymmetric FE systems, Computing 54, 167–183.

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Bob Hertzberger Peter Sloot

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© 1997 Springer-Verlag Berlin Heidelberg

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Lipitakis, E.A. (1997). Solving large sparse finite element systems of nonlinear equations by explicit semi-direct methods based on approximate inverse preconditioners. In: Hertzberger, B., Sloot, P. (eds) High-Performance Computing and Networking. HPCN-Europe 1997. Lecture Notes in Computer Science, vol 1225. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0031669

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  • DOI: https://doi.org/10.1007/BFb0031669

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62898-9

  • Online ISBN: 978-3-540-69041-2

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