A finite element method for exterior interface problems

R. C. Maccamy and S. P. Marin

International Journal of Mathematics and Mathematical Sciences, 1980, vol. 3, 1-40

Abstract:

A procedure is given for the approximate solution of a class of two-dimensional diffraction problems. Here the usual inner boundary conditions are replaced by an inner region together with interface conditions. The interface problem is treated by a variational procedure into which the infinite region behavior is incorporated by the use of a non-local boundary condition over an auxiliary curve. The variational problem is formulated and existence of a solution established. Then a corresponding approximate variational problem is given and optimal convergence results established. Numerical results are presented which confirm the convergence rates.

Date: 1980
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:209180

DOI: 10.1155/S0161171280000233

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