Direct Domain Decomposition Method (D3M) for Finite Element Electromagnetic Computations
Computational Engineering, Finance, and Science
2020-02-13 v1 Numerical Analysis
Numerical Analysis
Abstract
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.
Cite
@article{arxiv.2002.05018,
title = {Direct Domain Decomposition Method (D3M) for Finite Element Electromagnetic Computations},
author = {Javad Moshfegh and Marinos N. Vouvakis},
journal= {arXiv preprint arXiv:2002.05018},
year = {2020}
}
Comments
3 pages, 3 figures, 2016 IEEE APS/URSI