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Discrete Transparent Boundary Conditions for Wide Angle Parabolic Equations: Fast Calculation and Approximation

Please always quote using this URN:urn:nbn:de:0296-matheon-957
  • This paper is concerned with the effficient implementation of transparent boundary conditions (TBCs) for wide angle parabolic equations (WAPEs) assuming cylindrical symmetry. In [1] a discrete TBC of convolution type was derived from the fully discretized whole?space problem that is reflection?free and yields an unconditionally stable scheme. Since the discrete TBC includes a convolution with respect to range with a weakly decaying kernel, its numerical evaluation becomes very costly for long-range simulations. As a remedy we construct new approximative transparent boundary conditions involving exponential sums as an approximation to the convolution kernel. This special approximation enables us to use a fast evaluation of the convolution type boundary condition. This new approach was outlined in detail in [2] for the standard "parabolic" equation.

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Metadaten
Author:Matthias Ehrhardt, Anton Arnold
URN:urn:nbn:de:0296-matheon-957
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2004/02/18
Release Date:2004/02/18
Institute:Technische Universität Berlin
Preprint Number:90
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