PROJECTION DOMAIN DECOMPOSITION METHOD

A domain decomposition method using the projection approach is conside red. The original elliptic problem is transformed to a set of analogou s problems in subdomains and an abstract equation on the interface bet ween subdomains, the latter being solved using Galerkin projection met hod with some special basis functions defined on the interface. The co ndition number of the matrix of the resulting discrete problem is show n to be independent of both the number of basis functions and the coef ficients of the original problem. Problems in subdomains can be solved independently with different solvers.