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.
Author: | Matthias Ehrhardt, Anton Arnold |
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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 |