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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.

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Metadaten
Author:Matthias Ehrhardt, Andrea Zisowsky
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
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