论文标题

FEM模型的直接解决方案:稀疏直接求解器是最好的策略吗?

Direct Solution of FEM Models: Are Sparse Direct Solvers the Best Strategy?

论文作者

Moshfegh, Javad, Vouvakis, Marinos N.

论文摘要

对计算电磁学(CEM)中有限元方法(FEM)的直接解决方案方法的简要摘要以及基于域分解(DD)的替代直接解决方案。与近似/低级别求解器的最新趋势不同,这项工作集中在“数值精确”溶液方法上,因为它们对复杂的“现实生活”模型更可靠。对具有非结构化的FEM网格的一般三维几何形状的初步研究表明,所提出的直接DD方法比高度优化的高性能稀疏直接求解器库具有显着的记忆优势,同时保持近似可比性或稍微慢的连续连续执行速度,但具有明显的平行和GPU处理前景。

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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