A finite element method for second order nonvariational elliptic problems

Lakkis, Omar, Pryer, Tristan (2011) A finite element method for second order nonvariational elliptic problems. SIAM Journal on Scientific Computing, 33 (2). pp. 786-801. ISSN 1095-7197. (doi:10.1137/100787672) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:31256)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL: http://dx.doi.org/10.1137/100787672

Abstract

We propose a numerical method to approximate the solution of second order elliptic problems in nonvariational form. The method is of Galerkin type using conforming finite elements and applied directly to the nonvariational (nondivergence) form of a second order linear elliptic problem. The key tools are an appropriate concept of “finite element Hessian” and a Schur complement approach to solving the resulting linear algebra problem. The method is illustrated with computational experiments on three linear and one quasi-linear PDE, all in nonvariational form.

Item Type:	Article
DOI/Identification number:	10.1137/100787672
Subjects:	Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	T.M. Pryer
Date Deposited:	08 Oct 2012 09:52 UTC
Last Modified:	05 Nov 2024 10:13 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/31256 (The current URI for this page, for reference purposes)

University of Kent Author Information

Pryer, Tristan.

Creator's ORCID:
CReDIT Contributor Roles:

Depositors only (login required):

Altmetric

Download Statistics

Total unique views for this document in KAR since July 2020. For more details click on the image.