Discrete Nonreflecting Boundary Conditions for the Helmholtz Equation
Please always quote using this URN: urn:nbn:de:0297-zib-5744
- We derive exact discrete nonreflecting boundary conditions for time-harmonic scattering problems modeled by the Helmholtz equation. The main idea is to consider the exterior problem as an initial value problem with initial data given on the boundary of the computational domain. The solution of the exterior problem is obtained via Laplace transformation techniques which supply the boundary conditions in terms of discrete Dirichlet-to-Neumann operators.
Author: | Frank Schmidt |
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Document Type: | ZIB-Report |
Tag: | Helmholtz equation; finite element method; transparent boundary consitions |
MSC-Classification: | 65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods |
Date of first Publication: | 2000/03/03 |
Series (Serial Number): | ZIB-Report (00-06) |
ZIB-Reportnumber: | 00-06 |
Published in: | Appeared in: Proc. 5th Intern. Conf. on Mathematical and Numerical Aspects of Wave Propagation, Waves 2000, Santiago de Compostella, Spain. A. Bermudez, et al. (eds.) 2000 pp. 921-925 |