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BOUNDARY-ELEMENT ANALYSIS OF 3-D DIFFUSION PROBLEMS USING A PARALLEL DOMAIN DECOMPOSITION METHOD

A parallel domain decomposition method is developed for the solution of three-dimensional diffusion problems. Within each subdomain, time is discretized using the generalized trapezoidal rule. The resulting modified Helmholtz equation is solved using the particular-solution boundary-element method. Interfacial conditions between subdomains are satisfied using a Schwarz Neumann-Neumann iteration scheme. Except for the first time step, when zero initial flux is assumed on all interfacial boundaries, the initial estimates for the interfacial flux are given from the converged solutions from the previous time step. This significantly reduces the number of iterations required to meet the convergence criterion.