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The use of infinite grid refinements at singularities in the solution of Laplace's equation

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Summary

The approximate solution of Laplace's equation using the finite element method is considered. Particular emphasis is given to problems in which there are boundary singularities and the use of infinite refinements in the grid of triangles in the neighbourhood of these singularities is analysed. A particular type of infinite grid refinement is proposed and some examples are given.

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Authors and Affiliations

  1. Dept. of Mathematics, U.M.I.S.T., Sackville Street, P.O. Box 88, M60 1 QD, Manchester, England

    R. W. Thatcher

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  1. R. W. Thatcher
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Thatcher, R.W. The use of infinite grid refinements at singularities in the solution of Laplace's equation. Numer. Math. 25, 163–178 (1976). https://doi.org/10.1007/BF01462270

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  • DOI: https://doi.org/10.1007/BF01462270

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