Summary
It is shown that by using the simplest construction of discrete dipoles, the operation count for solving the Dirichlet problem of Poisson's equation by the capacitance matrix method does not exceed constant timesn 2 logn. n=1/h. Certain first and second order schemes of interpolating boundary conditions are considered.
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This report will also appear as Lawrence Berkeley Laboratory report #4669. Sponsored by the United States Army under Contract No. DAAG29-75-D-0024 and Energy Research and Development Administration
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Shieh, A.S.L. Fast poisson solvers on general two dimensional regions for the Dirichlet problem. Numer. Math. 31, 405–429 (1978). https://doi.org/10.1007/BF01404568
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DOI: https://doi.org/10.1007/BF01404568