A finite element method for elliptic eigenvalue problems in a multi-component domain in 2D with nonlocal Dirichlet transition conditions
type: Item
instance of: scholarly article
title: A finite element method for elliptic eigenvalue problems in a multi-component domain in 2D with nonlocal Dirichlet transition conditions
zbMATH Open document ID: 0940.65118
DOI: 10.1016/S0377-0427(99)00147-8
published in: Journal of Computational and Applied Mathematics
publication date: 2000-07-19T00:00:00Z
review text: The authors consider linear elliptic eigenvalue problems of second-order on bounded domains which are composed of a number of convex polygonal subdomains. On the outer boundaries classical mixed Robinson-Dirichlet boundary conditions are given, while on the interfaces between two subdomains nonlocal Dirichlet transition conditions are imposed. The problem is written in variational form and finite element approximations are studied. An asymptotic error analysis is presented which rests upon properties of an imperfect Lagrange interpolant and on a cruxial density result. Attention is also paid to computational aspects. For a model problem numerical results are presented.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35P15
zbMATH DE Number: 1398834
zbMATH Keywords: asymptotic error estimates
zbMATH Keywords: numerical examples
zbMATH Keywords: linear elliptic eigenvalue problems
zbMATH Keywords: finite element
author: H. De Schepper
author: Roger Van Keer
reviewed by: Waldemar Velte
MaRDI profile type: Publication
cites work: Q4162607
cites work: On a finite element method for second order elliptic eigenvalue problems with nonlocal direchlet boundary conditions
cites work: On a variational approximation method for 2nd order eigenvalue problems in a multi-component domain with nonlocal dlrichlet transition conditions
cites work: An operator method for a numerical quadrature finite element approximation for a class of second-order elliptic eigenvalue problems in composite structures
cites work: Q3998714
full work available at URL: s0377-0427(99)00147-8
OpenAlex ID: W2082138497
description: scientific article; zbMATH DE number 1398834