论文标题
Calderón预处理,用于卷积二次离散的TD优势
Calderón Preconditioners for the TD-EFIE discretized with Convolution Quadratures
论文作者
论文摘要
这项工作着重于通过卷积正交法离散时及时离散的时域电场积分方程的预处理和直流稳定。方程式的标准配方在大时的时间步骤和精制网格中遭受了严重的不良条件,除了DC不稳定性困扰晚期步骤的标准解决方案。这项工作通过使用Calderón方法来预处TD-Fefie操作员矩阵来解决所有这些问题。数值结果将证实理论,显示了提出的进步的实际相关性。
This work focuses on the preconditioning and DC stabilization of the time domain electric field integral equation discretized in time with the convolution quadrature method. The standard formulation of the equation suffers from severe ill-conditioning for large time steps and refined meshes, in addition to DC instabilities plaguing standard solutions for late time steps. This work addresses all these issues by preconditioning the TD-EFIE operator matrices with a Calderón approach. Numerical results will corroborate the theory, showing the practical relevance of the proposed advancements.