论文标题
基于原始图和双图laplacian光谱过滤器的EFIE的新预加入器
A New Preconditioner for the EFIE Based on Primal and Dual Graph Laplacian Spectral Filters
论文作者
论文摘要
电场积分方程（EFIE）臭名昭著，因为其频率和H频率都不良。存在基于层次策略，Calderon技术和相关技术来解决方程调节问题的几种技术。这项工作利用了一种新方法，基于为EFIE组件构造量身定制的光谱过滤器，该光谱过滤器允许EFIE光谱的块重新归一化，从而导致方程式恒定条件编号。与其他方案相比，这是无需重中精制而没有计算范围的较低的计算开销而实现的。特别是，除了EFIE原始矩阵外，还需要稀疏的矩阵。数值结果将显示我们的计划的鲁棒性及其在解决现实问题解决方案中的应用。
The Electric Field Integral Equation (EFIE) is notorious for its ill-conditioning both in frequency and h-refinement. Several techniques exist for fixing the equation conditioning problems based on hierarchical strategies, Calderon techniques, and related technologies. This work leverages on a new approach, based on the construction of tailored spectral filters for the EFIE components which allow the block renormalization of the EFIE spectrum resulting in a provably constant condition number for the equation. This is achieved without the need for a barycentric refinement and with low computational overhead compared with other schemes. In particular, only sparse matrices are required in addition to the EFIE original matrix. Numerical results will show the robustness of our scheme and its application to the solution of realistic problems.
