Discrete non-local boundary conditions for Split-Step Padé Approximations of the One-Way Helmholtz Equation
Please always quote using this URN:urn:nbn:de:0296-matheon-2642
- This paper deals with the efficient numerical solution of the two-dimensional one way Helmholtz equation posed on an unbounded domain. In this case one has to introduce artificial boundary conditions to confine the computational domain. The main topic of this work is the construction of so{called discrete transparent boundary conditions for state-of-the-art parabolic equations methods, namely a split-step discretization of the high{order parabolic approximation and the split-step Padle algorithm of Collins. Finally, several numerical examples arising in optics and underwater acoustics illustrate the efficiency and accuracy of our approach.
Author: | Matthias Ehrhardt, Andrea Zisowsky |
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URN: | urn:nbn:de:0296-matheon-2642 |
Referee: | Volker Mehrmann |
Document Type: | Preprint, Research Center Matheon |
Language: | English |
Date of first Publication: | 2005/06/07 |
Release Date: | 2005/05/07 |
Institute: | Technische Universität Berlin |
Preprint Number: | 258 |