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

Full text not available from this repository.

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

Citation Data

Cited 5 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item