Analysis of a fully discrete finite element method for a nonlinear magnetic field problem
SIAM Journal on Numerical Analysis
Numerical evaluation of surface integrals in three dimensions
Mathematics of Computation
Piecewise polynomial collocation for boundary integral equations
SIAM Journal on Scientific Computing
Mathematical and Computer Modelling: An International Journal
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A method to compute the magnetic field induced by a metallic body embedded in a uniform external field is presented. It is based on boundary integral representation formulae for the magnetic induction . A computational procedure is proposed which consists of using analytic expressions to compute the integral over the flat panels of the boundary and a piecewise quadratic interpolation of the surface for the curved panels. Superconvergence occurs in the latter case. The method supplies both high accuracy and low computation time, requirements that are not fulfilled when using standard numerical methods.