Theoretical and numerical analysis of selected hybrid Trefftz method with the use of method of subdomains coupling based on ?frame? concept

Abstract

The aim of this paper is theoretical and numerical analysis of Trefftz method in Galerkin version, which symbol is O-S;T-T.The analysis was conducted on the example of two-dimensional Poisson?s problem. Domain of interest was divided into homogeneous subdomains. In this way hybrid method was obtained, that is a combination of the boundary method with conventional finite element known from the Finite Element Method. The method based on idea of ?frames? was used to couple subdomains. Finally, the results of numerical experiments obtained for two boundary value problems were presented. The accuracy of the method was analyzed depending on the number of Trefftz coefficients.