FEM模型的直接解：稀疏直接解是最佳策略吗？
Direct Solution of FEM Models: Are Sparse Direct Solvers the Best Strategy?
摘要：
简要总结了计算电磁学中有限元法的直接求解方法，并提出了一种基于区域分解的直接求解方法。与最近的趋势近似/低秩求解器，这项工作的重点是“数值精确”的解决方案的方法，因为它们是更可靠的复杂的“现实生活”的模型。一般的三维几何形状与非结构化有限元网格的初步研究表明，所提出的直接DD方法提供了显着的内存优势，高度优化，高性能的稀疏直接求解器库，同时保持近似可比或略慢串行串行执行速度，但显着更好的并行和GPU处理的前景。
英文摘要：
A brief summary of direct solution approaches for finite element methods (FEM) in computational electromagnetics (CEM) is given along with an alternative direct solution based on domain decomposition (DD). Unlike recent trends in approximate/low-rank solvers, this work focuses on `numerically exact' solution methods as they are more reliable for complex `real-life' models. Preliminary studies on general three dimensional geometries with unstructured FEM meshes suggest that the proposed direct DD methodology offers significant memory advantages over highly optimized, high-performance sparse direct solver libraries, while maintaining approximately comparable or slightly slower serial serial execution speed but with significantly better parallel and GPU processing prospects.
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