Numerical Solution of Acoustic Scattering by an Adaptive DtN Finite Element Method
2013 ◽
Vol 13
(5)
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pp. 1277-1244
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AbstractConsider the acoustic wave scattering by an impenetrable obstacle in two dimensions, where the wave propagation is governed by the Helmholtz equation. The scattering problem is modeled as a boundary value problem over a bounded domain. Based on the Dirichlet-to-Neumann (DtN) operator, a transparent boundary condition is introduced on an artificial circular boundary enclosing the obstacle. An adaptive finite element based on a posterior error estimate is presented to solve the boundary value problem with a nonlocal DtN boundary condition. Numerical experiments are included to compare with the perfectly matched layer (PML) method to illustrate the competitive behavior of the proposed adaptive method.
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2010 ◽
Vol 47
(6)
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pp. 4492-4516
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Keyword(s):
2012 ◽
Vol 182-183
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pp. 1571-1574
2011 ◽
Vol 317-319
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pp. 1926-1930
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2008 ◽
Vol 197
(51-52)
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pp. 4549-4558
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