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Composite mesh difference methods for elliptic boundary value problems

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Summary

The purpose of this paper is to develop composite mesh difference methods for elliptic boundary value problems over regions with curved, smooth boundaries. A curved mesh will cover an annular strip along the boundary of the region which is included in the mesh. For the rest of the region and for a suitable inner part of the annular strip a square or rectangular mesh will be used. On each mesh a difference approximation is set up as well as couplings between them. Only second order methods for second order elliptic equations will be treated in detail.

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Authors and Affiliations

  1. Department of Computer Science, Uppsala University, Uppsala, Sweden

    Göran Starius

Authors
  1. Göran Starius
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Additional information

This research was supported by the Swedish Institute for Applied Mathematics (ITM)

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Starius, G. Composite mesh difference methods for elliptic boundary value problems. Numer. Math. 28, 243–258 (1977). https://doi.org/10.1007/BF01394455

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  • DOI: https://doi.org/10.1007/BF01394455

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