On the numerical treatment of boundary singularities in elliptic problems
This paper addresses the numerical treatment of boundary singularities using the finite difference technique. Two different procedures are tested and compared for the title problem: the first consists of a coordinate transformation which produces a mesh refinement in the real problem domain in the vicinity of the singularity and the second involves a transformation of the problem to one which is free from singularities. In both cases the dynamic ADI method is applied to solve the discretized problem.
scientific article; zbMATH DE number 4003424