论文标题

有限元电磁计算的直接域分解法(D3M)

Direct Domain Decomposition Method (D3M) for Finite Element Electromagnetic Computations

论文作者

Moshfegh, Javad, Vouvakis, Marinos N.

论文摘要

概述了有限元方法(FEM)计算的精确算术,内存有效的直接解决方案方法。与常规的黑框或低秩直的直接求解器不透明对潜在的物理问题不透明,该方法通过新的对称域分解方法(DDM)利用一组Lagrange乘数来利用开发的每个阶段的物理见解。与最新的电气问题上的最新直接求解器的比较表明,在保持相同准确性的同时,记忆力降低了10倍,并且运行时复杂性更好。

An exact arithmetic, memory efficient direct solution method for finite element method (FEM) computations is outlined. Unlike conventional black-box or low-rank direct solvers that are opaque to the underlying physical problem, the proposed method leverages physical insights at every stage of the development through a new symmetric domain decomposition method (DDM) with one set of Lagrange multipliers. Comparisons with state-of-the-art exact direct solvers on electrically large problems suggest up to 10 times less memory and better run-time complexity while maintaining the same accuracy.

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