A discontinuous Galerkin surface integral equation method with adaptive cross approximation acceleration

Yun Lin, Liangshuai Guo
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Abstract

A discontinuous Galerkin integral equation domain decomposition method based on adaptive cross approximation (ACA) is presented. The CN/LT basis function is used for correctly representing the continuity of the induced current on the boundaries. ACA is used for accelerating the solving of the linear system. Several numerical examples are given to demonstrate the correctness and the effectiveness of the proposed algorithm.
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具有自适应交叉逼近加速度的不连续Galerkin曲面积分方程方法
提出了一种基于自适应交叉逼近(ACA)的间断伽辽金积分方程区域分解方法。CN/LT基函数用于正确表示感应电流在边界上的连续性。ACA用于加速线性系统的求解。算例验证了该算法的正确性和有效性。
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