Numerical Integration for Multivariable Functions with Point Singularities
نویسنده
چکیده
We consider the numerical integration of functions with point singularities over a planar wedge S using isoparametric piecewise polynomial interpolation of the function and the wedge. Such integrals often occur in solving boundary integral equations using the collocation method. In order to obtain the same order of convergence as is true with uniform meshes for smooth functions, we introduce an adaptive reenement of the triangulation of S. Error analyses and several examples are given for a certain type of adaptive reenement.
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تاریخ انتشار 1992