Piecewise Polynomial Collocation for Integral Equations with a Smooth Kernel on Surfaces in Three Dimensions
نویسنده
چکیده
We consider solving integral equations on a piecewise smooth surface S in R 3 with a smooth kernel function, using piecewise polynomial collocation interpolation of the surface. The theoretical analysis includes the eeects of the numerical integration of the collocation coeecients and the use of the approximating surface. The resulting order of convergence is higher than had previously been expected in the literature.
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