A mixed finite element method for fourth order eigenvalue problems
type: Item
instance of: scholarly article
title: A mixed finite element method for fourth order eigenvalue problems
zbMATH Open document ID: 1203.65238
author: Neela Nataraj
published in: Applied Mathematics and Computation
publication date: 2009-07-01T00:00:00Z
review text: The paper is concerned with finite element discretizations of plate-type eigenvalue problems for fourth-order differential operators on convex bounded polyonal domains, together with Dirichlet boundary conditions. A mixed finite element method is proposed which requires less continuity properties across inner element edges than the ``usual'' mixed scheme. This goal is achieved by introduction of an additional Lagrange parameter. It is shown that the new scheme is equivalent to the usual one in an appropriate sense. The concrete computer implementation procedure is described, and several numerical examples are presented to illustrate the new scheme.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 5573819
zbMATH Keywords: mixed finite element method
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: fourth-order
reviewed by: Michael Plum
MaRDI profile type: Publication
full work available at URL: j.amc.2009.02.050
OpenAlex ID: W1993519365
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DOI: 10.1016/J.AMC.2009.02.050
description: scientific article; zbMATH DE number 5573819