Finite element eigenvalues for the Laplacian over an L-shaped domain
type: Item
instance of: scholarly article
title: Finite element eigenvalues for the Laplacian over an L-shaped domain
zbMATH Open document ID: 0644.65079
DOI: 10.1016/0021-9991(88)90141-6
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: A finite element method is described which determines determined the eigenvalues for Laplaces equation on an L-shaped region. The numerical method uses an expansion near the internal corner with angle \(3\pi\) /2 and matches it via a transition layer of elements to a standard bilinear approximation in the region away from the corner. Adequately accurate eigenvalues are obtained compared to previous results. The current method is of more general applicability, than those previously described and could incorporated into standard finite element codes.
Mathematics Subject Classification ID: 65N25
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35P15
zbMATH DE Number: 4050911
zbMATH Keywords: singular behaviour
zbMATH Keywords: finite element method
zbMATH Keywords: eigenvalues
zbMATH Keywords: Laplaces equation
zbMATH Keywords: L-shaped region
zbMATH Keywords: transition layer
author: Bernard Schiff
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90141-6
OpenAlex ID: W2089531078
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description: scientific article; zbMATH DE number 4050911