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An exact arithmetic, memory efficient direct solution method for finiteelement method (FEM) computations is outlined. Unlike conventional black-box orlow-rank direct solvers that are opaque to the underlying physical problem, theproposed method leverages physical insights at every stage of the developmentthrough a new symmetric domain decomposition method (DDM) with one set ofLagrange multipliers. Comparisons with state-of-the-art exact direct solvers onelectrically large problems suggest up to 10 times less memory and betterrun-time complexity while maintaining the same accuracy.

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