The Collocation Method for First-Kind Boundary Integral Equations on Polygonal Regions
نویسندگان
چکیده
منابع مشابه
The Collocation Method for First-kind Boundary Integral Equations on Polygonal Regions
In this paper the collocation method for first-kind boundary integral equations, by using piecewise constant trial functions with uniform mesh, is shown to be equivalent to a projection method for second-kind Fredholm equations. In a certain sense this projection is an interpolation projection. By introducing this technique of analysis, we particularly consider the case of polygonal boundaries....
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In this paper, the collocation methods are used to solve the boundary integral equations of the first kind on the polygon. By means of Sidi’s periodic transformation and domain decomposition, the errors are proved to possess the multi-parameter asymptotic expansion at the interior point with the powers hi (i = 1, ..., d), which means that the approximations of higher accuracy and a posteriori e...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1990
ISSN: 0025-5718
DOI: 10.2307/2008686