Some basic BVPS for complex PDES method of reflection on example of two irregular domains

Abstract

The advantage of the method described is the fact that solution of the problems can be obtained analytically and presented in explicit form. This fact will be presented on example of two different irregular domains such as quarter ring and half hexagon [11,12]. Here the the Scwarz, the Dirichlet and the Neumann problems are solved, that is, the relative Schwarz kernel, the harmonic Green and Neumann functions were obtained according to the method of "parquieting".