A fast numerical method for a natural boundary integral equation for the Helmholtz equation
نویسندگان
چکیده
منابع مشابه
A fast numerical solution for the first kind boundary integral equation for the Helmholtz equation
The main purpose of this paper is to develop a fast numerical method for solving the first kind boundary integral equation, arising from the two-dimensional interior Dirichlet boundary value problem for the Helmholtz equation with a smooth boundary. This method leads to a fully discrete linear system with a sparse coefficient matrix. We observe that it requires a nearly linear computational cos...
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[Received on 25 August 2005] For two-dimensional boundary integral equations of the first kind with logarithm kernels, the use of the conventional boundary element methods gives linear algebraic systems with dense matrix. In a recent work [J. Comput. Math., 22 (2004), pp. 287-298], it is demonstrated that the dense matrix can be replaced by a sparse one if appropriate graded meshes are used in ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.12.002