Abstract

An approximate technique to construct sparse boundary systems in substructure approaches is developed. The technique is based on the introduction of auxiliary coarse grid divisions over superelement boundaries allowing superelement boundary matrices to be constructed on a special basis providing for the possibility of an efficient approximate solution. For the theoretical grounding of the method, a singular integral operator simulation is proposed. Numerical experiments confirming theoretical results and the applicability of the method are presented. Solution strategies with orientation to the standard superelement concept are discussed.

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