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A new Finite Element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D

Please always quote using this URN: urn:nbn:de:0297-zib-7662
  • In this paper we propose a new finite element realization of the Perfectly Matched Layer method (PML-method). Our approach allows to deal with arbitrary shaped polygonal domains and with certain types of inhomogeneous exterior domains. Among the covered inhomogeneities are open waveguide structures playing an essential role in integrated optics. We give a detailed insight to implementation aspects. Numerical examples show exponential convergence behavior to the exact solution with the thickness of the PML sponge layer.

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Metadaten
Author:Lin Zschiedrich, Roland Klose, Achim Schädle, Frank Schmidt
Document Type:ZIB-Report
Tag:perfectly matched layer; pole condition; transparent boundary conditions
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Qxx Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05] / 35Q60 PDEs in connection with optics and electromagnetic theory
65-XX NUMERICAL ANALYSIS / 65-04 Explicit machine computation and programs (not the theory of computation or programming)
65-XX NUMERICAL ANALYSIS / 65Nxx Partial differential equations, boundary value problems / 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Date of first Publication:2003/12/09
Series (Serial Number):ZIB-Report (03-44)
ZIB-Reportnumber:03-44
Published in:Appeared in: Journal of computational and applied mathematics, 188(2006)12-32
DOI:https://doi.org/10.1016/j.cam.2005.03.047
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