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Finite difference techniques for ring capacitors

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Summary

This paper describes finite difference techniques used to calculate the capacitance of a ring capacitor. The determination of capacitance involves the solution of a Dirichlet boundary value problem and the calculation of the gradient of the solution obtained. Circular cylindrical coordinates are used. Nine point difference approximations are used for the Laplacian and the first derivatives of a function. If this function satisfies Laplace's equation and is sufficiently differentiable, the discretization error of each approximation isO(h 4) whereh is the maximum mesh size.

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References

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Authors and Affiliations

  1. Computation Centre, National Research Council, Ottawa, Canada

    J. B. Campbell

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  1. J. B. Campbell
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Campbell, J.B. Finite difference techniques for ring capacitors. J Eng Math 9, 21–28 (1975). https://doi.org/10.1007/BF01535494

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  • DOI: https://doi.org/10.1007/BF01535494

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