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Transformation of three-dimensional regions onto rectangular regions by elliptic systems

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Summary

A transformation method is developed which may be used to solve various types of boundary value problems on three-dimensional regions with an arbitrary boundary. The implementation of the method is illustrated in the solution of a potential flow problem. All computations are performed on a cubic mesh in a rectangular region.

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Authors and Affiliations

  1. Institute for Computer Applications in Science and Engineering and Mississippi State University, 39762, Mississippi State, MS, USA

    C. Wayne Mastin & Joe F. Thompson

Authors
  1. C. Wayne Mastin
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  2. Joe F. Thompson
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Additional information

This report was prepared as a result of work performed under NASA Contract No. NAS1-14101 while the first author was in residence at ICASE, NASA Langley Research Center, Hampton, VA 23665, USA

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Mastin, C.W., Thompson, J.F. Transformation of three-dimensional regions onto rectangular regions by elliptic systems. Numer. Math. 29, 397–407 (1978). https://doi.org/10.1007/BF01432877

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  • DOI: https://doi.org/10.1007/BF01432877

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