A Fourier Continuation Method for the Solution of Elliptic Eigenvalue Problems in General Domains
2015 ◽
Vol 2015
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pp. 1-15
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Keyword(s):
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.
Keyword(s):
Keyword(s):
2013 ◽
Vol 20
(2)
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pp. 155-171
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Keyword(s):
2012 ◽
Vol 54
(2-3)
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pp. 492-512
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2005 ◽
Vol 184
(3)
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pp. 297-314
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2006 ◽
Vol 463
(2079)
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pp. 759-786
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