H-p Version of the Boundary Element Method with Geometric Mesh on Polygonal Domains.

摘要

This paper applies the techniques of the h-p version to the boundary element method for boundary value problems on plane non-smooth domains with piecewisely analytic boundary and data. The exponential rate of convergence of the boundary element Galerkin solution is obtained when a geometric mesh refinement is used near the vertices. (aw)