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Computer Methods in Applied Mechanics and Engineering | Vol.311, Issue.0 | | Pages 250-279

Adaptively Weighted Numerical Integration in the Finite Cell Method

Vaidyanathan Thiagarajan Vadim Shapiro

Abstract

With Adaptively Weighted (AW) numerical integration, for a given set of quadrature nodes, order and domain of integration, the quadrature weights are obtained by solving a system of suitable moment fitting equations in least square sense. The moments in the moment equations are approximated over a simplified domain that is homeomorphic to the original domain, and then are corrected for the deviation from the original domain using shape sensitivity analysis.

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Adaptively Weighted Numerical Integration in the Finite Cell Method

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Keywords

adaptively weighted aw numerical integration quadrature nodes order shape sensitivity analysis least square moment fitting equations moments

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Vaidyanathan Thiagarajan, Vadim Shapiro,.Adaptively Weighted Numerical Integration in the Finite Cell Method. 311 (0),250-279.

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