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

Brown, Brian Malcolm, Jimack, P. K. and Mihajlović, M D. 2001. An efficient direct solver for a class of mixed finite element problems. Applied Numerical Mathematics 38 (1-2) , pp. 1-20. 10.1016/S0168-9274(00)00048-9

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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
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords: Sparse Gaussian elimination; Mixed finite element method; Biharmonic eigenproblem
Publisher: Elsevier
ISSN: 0168-9274
Last Modified: 04 Jun 2017 02:55
URI: http://orca-mwe.cf.ac.uk/id/eprint/13717

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