Local absorbing boundary conditions for elliptical shaped boundaries

M. Medvinsky, E. Turkel, U. Hetmaniuk

Research output: Contribution to journalArticlepeer-review

Abstract

We compare several local absorbing boundary conditions for solving the Helmholtz equation, by a finite difference or finite element method, exterior to a general scatterer. These boundary conditions are imposed on an artificial elliptical or prolate spheroid outer surface. In order to compare the computational solution with an analytical solution, we consider, as an example, scattering about an ellipse. We solve the Helmholtz equation with both finite differences and finite elements. We also introduce a new boundary condition for an ellipse based on a modal expansion.

Original languageEnglish
Pages (from-to)8254-8267
Number of pages14
JournalJournal of Computational Physics
Volume227
Issue number18
DOIs
StatePublished - 10 Sep 2008

Keywords

  • Absorbing boundary conditions
  • Helmholtz equation
  • Mathieu functions

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