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Influence functions for 2-D compound regions of complex configuration

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Abstract

This paper presents a detailed description of the algorithm for construction of influence (Green's) functions for a two-dimensional equation of potential over regions compound in nature. Several particular formulations are considered in the Cartesian, polar, and geographical coordinate systems. This paper also deals with an application of the Green's function method to the development of influence functions for compound multi-connected regions of complex configuration. Influence functions for appropriate simply connected regions, which have been constructed in advance, are utilized as the kernels of integral representations in the development.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Middle Tennessee State University, P.O. Box 34, 37132, Murfreesboro, Tennessee, USA

    Y. A. Melnikov

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  1. Y. A. Melnikov
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Additional information

Communicated by T. Cruse, 29 September 1995

This project has been sponsored in part by the Faculty Research Grant 1995 and the Summer 1995 Research Grant of Middle Tennessee State University.

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Melnikov, Y.A. Influence functions for 2-D compound regions of complex configuration. Computational Mechanics 17, 297–305 (1996). https://doi.org/10.1007/BF00368552

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  • DOI: https://doi.org/10.1007/BF00368552

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