A NONOVERLAPPING TH-DOMAIN DECOMPOSITION

In a previous paper a class of domain decomposition procedures, which may be viewed as a generalization of the Trefftz method, was announced : TH-domain decompositions. Their essential feature is that local solu tions are not matched directly, but instead are used as specialized te st functions with the property that, when they are applied as weightin g functions, the information is concentrated on the internal boundarie s of the subdomains. In this manner, the solution on the whole domain is constructed. In this paper such a method, which has already been us ed in some specific applications, is presented. (C) 1997 Elsevier Scie nce Limited.