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
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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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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 |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Depositing User: | Repository Assistant |
Date Deposited: | 16 Nov 2006 |
Last Modified: | 28 Oct 2016 14:36 |
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: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:1712 |