Author(s)

W M Elleithy & M Tanaka

Abstract

h this paper, we present two interface relaxation algorithms, namely the geometric construction based algorithm and the Robin relaxation algorithm, for coupling the finite element and boundary element methods. Coupling consists of partitioning the domain onto finite element and boundary element subdomains and imposes some boundary conditions on the interface. The computations are carried out separately for both sub-domains. The obtained solutions do not satisfy the interface boundary conditions and interface relaxation is applied to obtain new interface boundary values, which satisfies them better. The procedures are iterated until convergence is achieved. A high level description of the two algorithms is presented. We also present a description of various existing domain decomposition coupling algorithms, which m y be viewed as interface relaxation coupling ones. A simple numerical example is given for illustration. The interface relaxation algorithms presented in this paper are extendable to multi-domain coupling and to solve nonlinear problems.

Keywords