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Transparent Boundary Conditions for Split-Step Pade Approximations of the One-Way Helmholtz Equation

Please always quote using this URN: urn:nbn:de:0297-zib-4353
  • In this paper, we generalize the nonlocal discrete transparent boundary condition introduced by Schmidt and Deuflhard {[}Comp. Math. Appl. 29 (1995) 53-76{]} and Schmidt and Yevick {[}J. Comput. Phys. 134 (1997) 96-107{]} to propagation methods based on arbitrary Pad\'e approximations to the two-dimensional one-way Helmholtz equation. Our approach leads to a recursive formula for the coefficients appearing in the nonlocal condition which then yields an unconditionally stable propagation method.

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Metadaten
Author:Frank Schmidt, Tilmann Friese, David Yevick
Document Type:ZIB-Report
Tag:Finite-element method; Helmholtz equation; Pad/'e split step approximation; Transparent boundary conditions; Wide-angle approximation
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Mxx Partial differential equations, initial value and time-dependent initial- boundary value problems / 65M55 Multigrid methods; domain decomposition
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:1999/12/16
Series (Serial Number):ZIB-Report (SC-99-46)
ZIB-Reportnumber:SC-99-46
Published in:Appeared in: J. Comput. Phys. 170 (2001) 696-719
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