Recent development of GPU parallelized, out-of-core matrix solver enables dramatic reduction of matrix solution time, so that matrix fill time in problems solved by Method of Moments (MoM) applied to Surface Integral Equations (SIEs), becomes dominant. The paper proposes an efficient algorithm for GPU accelerated calculation of matrix elements. The numerical experiments show acceleration from 1.5 times to 21 times, depending on order of expansions and level of integral accuracy.

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