A Fourier continuation method for the solution of elliptic eigenvalue problems in general domains
type: Item
instance of: scholarly article
title: A Fourier continuation method for the solution of elliptic eigenvalue problems in general domains
zbMATH Open document ID: 1394.65153
DOI: 10.1155/2015/184786
author: O. P. Bruno
author: Timothy Elling
author: Ayon Sen
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: We present a new computational method for the solution of elliptic eigenvalue problems with variable coefficients in general two-dimensional domains. The proposed approach is based on use of the novel Fourier continuation method (which enables fast and highly accurate Fourier approximation of nonperiodic functions in equispaced grids without the limitations arising from the Gibbs phenomenon) in conjunction with an overlapping patch domain decomposition strategy and Arnoldi iteration. A variety of examples demonstrate the versatility, accuracy, and generality of the proposed methodology.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65N25
zbMATH DE Number: 6925701
Wikidata QID: Q59117523
describes a project that uses: FFTW
describes a project that uses: ARPACK
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/184786
OpenAlex ID: W2175899828
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description: scientific article; zbMATH DE number 6925701