Repository: Freie Universit├Ąt Berlin, Math Department

Transparent Boundary Conditions Based on the Pole Condition

Schaedle, A. and Ruprecht, D. and Schmidt, F. (2009) Transparent Boundary Conditions Based on the Pole Condition. In: The 9th International Conference on Mathematical and Numerical Aspects of Waves Propagation, 15th-19th June 2009, Pau, France.

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Official URL: https://waves-2009.bordeaux.inria.fr/index.php?lan...

Abstract

Transparent boundary conditions for polygonal two-dimensional domains based on the pole condition approach are presented. The discretization of the exterior is done by innite trapezoids, which allows to dene a generalized distance variable. Taking the Laplace transform of the solution w.r.t the distance variable, incoming and outgoing solutions can be distinguished by the location of the singularities. Using special ansatz and test functions, the condition on the location of the singularities yields a new algorithmic realization of transparent boundary conditions.

Item Type:Conference or Workshop Item (Paper)
Additional Information:H. Barucq et. al. (eds.)
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:931
Deposited By: Ulrike Eickers
Deposited On:10 Aug 2010 09:37
Last Modified:03 Mar 2017 14:40

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