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Application of the boundary element method to three-dimensional potential problems in heterogeneous media

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Abstract

The present work discusses a solution procedure for heterogeneous media three-dimensional potential problems, involving nonlinear boundary conditions. The problem is represented mathematically by the Laplace equation and the adopted numerical technique is the boundary element method (BEM), here using velocity correcting fields to simulate the conductivity variation of the domain. The integral equation is discretized using surface elements for the boundary integrals and cells, for the domain integrals. The adopted strategy subdivides the discretized equations in two systems: the principal one involves the calculation of the potential in all boundary nodes and the secondary which determines the correcting field of the directional derivatives of the potential in all points. Comparisons with other numerical and analytical solutions are presented for some examples.

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Authors and Affiliations

  1. Programa de Engenharia Civil, COPPE/UFRJ, Cidade Universitária, Centro de Tecnologia, Bloco B, 105 Ilha do Fundão, Caixa Postal 68506, Rio de Janeiro, RJ CEP: 21941-972, Brazil

    Thilene F. Luiz & José Claudio de F. Telles

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  1. Thilene F. Luiz
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  2. José Claudio de F. Telles
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Correspondence to Thilene F. Luiz.

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Luiz, T.F., Telles, J.C.F. Application of the boundary element method to three-dimensional potential problems in heterogeneous media. Comput Mech 42, 431–440 (2008). https://doi.org/10.1007/s00466-008-0253-7

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  • DOI: https://doi.org/10.1007/s00466-008-0253-7

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