Journal
COMPUTATIONAL MECHANICS
Volume 42, Issue 3, Pages 431-440Publisher
SPRINGER
DOI: 10.1007/s00466-008-0253-7
Keywords
boundary element method; heterogeneous media; non-linear boundary condition; simulation of velocity correcting fields
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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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