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 |
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 |
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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: | 18 Oct 2022 13:23 |
URI: | https://orca.cardiff.ac.uk/id/eprint/13717 |
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