AN ADAPTIVE SUCCESSIVE OVER RELAXATION DOMAIN DECOMPOSITION BY THE BOUNDARY SPECTRAL STRIP METHOD

In the present paper a new adaptive successive over relaxation domain decomposition technique is developed for the boundary spectral strip m ethod The proposed scheme is based on dividing the overall domain of t he problem into several subdomains. First each of the subdomains in th e BIEM matrices is analysed independently. These matrices together wit h an arbitrary initial guess of displacements on the interface of each two neighbouring subdomains, enable an iterative and a very efficient solution of the whole problem. An adaptive procedure, based on compar ing two norms along the interface of subregions, is carried out to imp ose successive over relaxation convergence. Numerical results comparin g the present scheme with single domain solutions emphasize the capabi lity of the proposed technique regarding accuracy and computational ef forts. (C) 1997 by John Wiley & Sons, Ltd.