On surface radiation conditions for an ellipse

Authors:
M. Medvinsky;E. Turkel
Affiliations:
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel;School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 7
Cited 1

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Abstract

We compare several On Surface Radiation Boundary Conditions in two dimensions, for solving the Helmholtz equation exterior to an ellipse. We also introduce a new boundary condition for an ellipse based on a modal expansion in Mathieu functions. We compare the OSRC to a finite difference method.