Summary
A method is given for the solution of linear equations arising in the finite element method applied to a general elliptic problem. This method reduces the original problem to several subproblems (of the same form) considered on subregions, and an auxiliary problem. Very efficient iterative methods with the preconditioning operator and using FFT are developed for the auxiliary problem.
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Dryja, M. A finite element — Capacitance method for elliptic problems on regions partitioned into subregions. Numer. Math. 44, 153–168 (1984). https://doi.org/10.1007/BF01410102
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DOI: https://doi.org/10.1007/BF01410102