Mathematik in den Naturwissenschaften Leipzig Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature by
Mathematik in den Naturwissenschaften Leipzig Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature by
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Mathematik in den Naturwissenschaften Leipzig 外麦克斯韦问题的数值解（Galerkin BEM 和 Runge-Kutta 卷积求积）
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发表时间：
2011
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通讯作者：
A. Veit
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作者：
J. Ballani;L. Banjai;S. Sauter;A. Veit
本文研究导体目标的含时电磁散射问题。在时间上采用龙格-库塔卷积求积法，在空间上采用伽辽金法对时域电场积分方程进行离散。我们在拉普拉斯域中分析了所涉及的算子，并得到了全离散格式的收敛性结果。数值实验表明理论估计的尖锐性。AMS科目分类：78 A45、65 N38、65 R20
In this paper we consider time-dependent electromagnetic scattering problems from conducting objects. We discretize the time-domain electric field integral equation using RungeKutta convolution quadrature in time and a Galerkin method in space. We analyze the involved operators in the Laplace domain and obtain convergence results for the fully discrete scheme. Numerical experiments indicate the sharpness of the theoretical estimates. AMS subject classifications: 78A45, 65N38, 65R20