Transparent boundary conditions for split-step Pade approximations of the one-way Helmholtz equation

Authors
Schmidt, F Friese, T Yevick, D
Citation
F. Schmidt et al., Transparent boundary conditions for split-step Pade approximations of the one-way Helmholtz equation, J COMPUT PH, 170(2), 2001, pp. 696-719
Citations number
17
Categorie Soggetti
Physics
Journal title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN journal
00219991 → ACNP
Volume
170
Issue
2
Year of publication
2001
Pages
696 - 719
Database
ISI
SICI code
0021-9991(20010701)170:2<696:TBCFSP>2.0.ZU;2-8
Abstract
In this paper. we generalize the nonlocal discrete transparent boundary con dition introduced by F. Schmidt and P. Deuflhard (1995, Comput. Math. Appl. 29, 53-76) and by F. Schmidt and D. Yevick (1997. J. Comput. Phys. 134. 96 -107) to propagation methods based on arbitrary Pade approximations of the two-dimensional one-way Helmholtz equation. Our approach leads to a recursi ve formula for the coefficients appearing in the nonlocal condition. which then yields an unconditionally stable propagation method. (C) 2001 Academic Press.