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Algorithms and numerical analysis of dc fields in a piecewise-homogeneous medium by the boundary integral equation method

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Boundary integral equation methods are considered for computing dc fields in three-dimensional regions filled with a piecewise-homogeneous medium. The problem is formulated and a system of Fredholm boundary integral equations of first kind is constructed, following directly from Green’s formula. The numerical solution stages are considered in detail, including construction and triangulation of the numerical surfaces, evaluation of surface integrals, and solution of a system of block-matrix equations.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    E. V. Zakharov & A. V. Kalinin

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  1. E. V. Zakharov
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  2. A. V. Kalinin
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Correspondence to E. V. Zakharov.

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Translated from Prikladnaya Matematika i Informatika, No. 30, pp. 35–45, 2008.

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Zakharov, E.V., Kalinin, A.V. Algorithms and numerical analysis of dc fields in a piecewise-homogeneous medium by the boundary integral equation method. Comput Math Model 20, 247–257 (2009). https://doi.org/10.1007/s10598-009-9034-1

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  • DOI: https://doi.org/10.1007/s10598-009-9034-1

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