Concurrent network diakoptics for electromagnetic field problems

A new modification to circuit-based diakoptics equations which allows the efficient manipulation of equivalent circuit models which represent Maxwell's equations is presented. A formulation of the diakoptics equations is given whereby torn subnetworks used to form the problem domain under consideration can be connected on a nearest neighbor basis. This formulation allows an algorithm which is suitable for implementation on a parallel computer to be written. It has been implemented on a transputer array configured with two different topologies. The computational efficiency of each topology is appraised and considerable computational advantage demonstrated with respect to the classical sequential variant of the technique. The procedure is then applied to sample electromagnetic field problems in order to verify its utility. Finally it is used to compute the performance of a patch microstrip hybrid coupler.<
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