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An efficient direct solver for a class of mixed finite element problems

Brown, B.M., Jimack, P.K. and Mihajlovic, M.D. (2001) An efficient direct solver for a class of mixed finite element problems. Applied Numerical Mathematics, 38 (1-2). pp. 1-20. ISSN 0168-9274

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Abstract

In this paper we present an efficient, accurate and parallelizable direct method for the solution of the (indefinite) linear algebraic systems that arise in the solution of fourth-order partial differential equations (PDEs) using mixed finite element approximations. The method is intended particularly for use when multiple right-hand sides occur, and when high accuracy is required in these solutions.

The algorithm is described in some detail and its performance is illustrated through the numerical solution of a biharmonic eigenvalue problem where the smallest eigenpair is approximated using inverse iteration after discretization via the Ciarlet–Raviart mixed finite element method.

Item Type: Article
Copyright, Publisher and Additional Information: © 2001 IMACS. This is an author produced version of a paper published in 'Numerical Mathematics'.
Keywords: Sparse Gaussian elimination, Mixed finite element method, Biharmonic eigenproblem
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Repository Assistant
Date Deposited: 16 Nov 2006
Last Modified: 08 Feb 2013 17:03
Published Version: http://dx.doi.org/10.1016/S0168-9274(00)00048-9
Status: Published
Publisher: Elsevier B.V.
Refereed: Yes
Identification Number: 10.1016/S0168-9274(00)00048-9
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1712

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