Well-conditioned boundary integral equations for two- dimensional sound-hard scattering problems in domains with corners
نویسندگان
چکیده
منابع مشابه
Well conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners
We present several well-posed, well-conditioned integral equation formulations for the solution of two-dimensional acoustic scattering problems with Neumann boundary conditions in domains with corners. We call these integral equations Direct Regularized Combined Field Integral Equations (DCFIE-R) formulations because (1) they consist of combinations of direct boundary integral equations of the ...
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cretization of certain boundary integral equations on a very general class of two-dimensional domains with corner points. The resulting quadrature rules allow for the rapid high accuracy solution of Laplace’s equation and the Helmholtz equation on such domains. Our approach can be adapted to many other boundary value problems as well as to the case of surfaces with singularities in three dimens...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2012
ISSN: 0897-3962
DOI: 10.1216/jie-2012-24-3-321