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Approximation of viscosity solutions of elliptic partial differential equations on minimal grids

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Summary.

We obtain estimates on the minimal size of an equally spaced grid which can be used to construct monotone and consistent approximations to elliptic problems. The estimates are given in terms of the ellipticity of the equation. This problem is related to diophantine approximations, see the Appendix written by W. M. Schmidt.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Santa Barbara, CA 93106, USA , , , , , , US

    Maciej Kocan

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  1. Maciej Kocan
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Received January 10, 1995

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Kocan, M. Approximation of viscosity solutions of elliptic partial differential equations on minimal grids . Numer Math 72, 73–92 (1995). https://doi.org/10.1007/s002110050160

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  • DOI: https://doi.org/10.1007/s002110050160

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