A Fourier Continuation Method for the Solution of Elliptic Eigenvalue Problems in General Domains

Oscar P. Bruno, Timothy Elling and Ayon Sen

Mathematical Problems in Engineering, 2015, vol. 2015, 1-15

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:184786

DOI: 10.1155/2015/184786

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