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A capacitance matrix method for Dirichlet problem on polygon region

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Summary

An efficient algorithm for the solution of linear equations arising in a finite element method for the Dirichlet problem is given. The cost of the algorithm is proportional toN 2log2 N (N=1/h) where the cost of solving the capacitance matrix equations isNlog2 N on regular grids andN 3/2log2 N on irregular ones.

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  1. Institute of Informatics, University of Warsaw, PKiN 850 p, 00-901, Warsaw, Poland

    M. Dryja

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  1. M. Dryja
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Dryja, M. A capacitance matrix method for Dirichlet problem on polygon region. Numer. Math. 39, 51–64 (1982). https://doi.org/10.1007/BF01399311

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