Piecewise Polynomial Collocation for Integral Equations with a Smooth Kernel on Surfaces in Three Dimensions
David Chien · Journal of Integral Equations and Applications · 1993
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 effects of the numerical integration of the collocation coefficients and the use of the approximating surface.The resulting order of convergence is higher than had previously been expected in the literature.