Spline Galerkin Methods for the Sherman--Lauricella Equation on Contours with Corners
Spline Galerkin Methods for the Sherman--Lauricella Equation on Contours with Corners
Spline Galerkin approximation methods for the Sherman-Lauricella integral equation on simple closed piecewise smooth contours are studied, and necessary and sufficient conditions for their stability are obtained. It is shown that the method under consideration is stable if and only if certain operators associated with the corner points of the …