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
Available under licence : See the attached licence file.
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.
|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|
|Institution:||The University of Leeds|
|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:||06 Jun 2014 02:03|