有限元电磁计算的直接区域分解法（D3M）
Direct Domain Decomposition Method (D3M) for Finite Element Electromagnetic Computations
摘要：
本文提出了一种计算精度高、节省内存的有限元法直接解法。与传统的黑盒或低秩直接求解器是不透明的基本物理问题，所提出的方法利用物理见解在每个阶段的发展，通过一个新的对称区域分解方法（DDM）与一组拉格朗日乘子。与最先进的精确直接求解器在电大尺寸问题上的比较表明，在保持相同精度的同时，内存减少了10倍，运行时复杂度提高了10倍。
英文摘要：
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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