The Collocation Method for First-kind Boundary Integral Equations on Polygonal Regions
نویسنده
چکیده
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. We give asymptotic error estimates in L2 norm on the boundaries, and some superconvergence results for the single layer potential.
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