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

Brown, Brian Malcolm ORCID: https://orcid.org/0000-0002-2871-6591, 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:	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:	18 Oct 2022 13:23
URI:	https://orca.cardiff.ac.uk/id/eprint/13717

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