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Direct Domain Decomposition Method (D3M) for Finite Element Electromagnetic Computations
arXiv - CS - Computational Engineering, Finance, and Science Pub Date : 2020-02-11 , DOI: arxiv-2002.05018
Javad Moshfegh; Marinos N. Vouvakis

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.
更新日期:2020-02-13

 

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