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HelmPole - A finite element solver for scattering problems on unbounded domains: Implementation based on PML

Please always quote using this URN: urn:nbn:de:0297-zib-7609
  • The solution of scattering problems described by the Helmholtz equation on unbounded domains is of importance for a wide variety of applications, for example in electromagnetics and acoustics. An implementation of a solver for scattering problems based on the programming language Matlab is introduced. The solver relies on the finite-element-method and on the perfectly-matched-layer-method, which allows for the simulation of scattering problems on complex geometries surrounded by inhomogeneous exterior domains. This report gives a number of detailed examples and can be understood as a user manual to the freely accessible code of the solver HelmPole.

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Metadaten
Author:Sven BurgerORCiD, Roland Klose, Achim Schädle, Lin Zschiedrich
Document Type:ZIB-Report
Tag:Helmholtz equation; finite element method; perfectly matched layer
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
78-XX OPTICS, ELECTROMAGNETIC THEORY (For quantum optics, see 81V80) / 78-04 Explicit machine computation and programs (not the theory of computation or programming)
PACS-Classification:00.00.00 GENERAL / 02.00.00 Mathematical methods in physics / 02.60.-x Numerical approximation and analysis / 02.60.Cb Numerical simulation; solution of equations
00.00.00 GENERAL / 02.00.00 Mathematical methods in physics / 02.60.-x Numerical approximation and analysis / 02.60.Lj Ordinary and partial differential equations; boundary value problems
00.00.00 GENERAL / 02.00.00 Mathematical methods in physics / 02.70.-c Computational techniques; simulations (for quantum computation, see 03.67.Lx; for computational techniques extensively used in subdivisions of physics, see the appropriate section; for example, see 47.11.-j Computational methods in fluid dynamics) / 02.70.Dh Finite-element and Galerkin methods
Date of first Publication:2003/11/24
Series (Serial Number):ZIB-Report (03-38)
ZIB-Reportnumber:03-38
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