Abstract
A finite-difference method using a nonuniform triangle mesh is described for the numerical solution of the nonlinear two-dimensional Poisson equation∇·(λ∇ϕ) +S= 0, where λ is a function of ϕ or its derivatives,Sis a function of position, and ϕ or its normal derivative is specified on the boundary. The finite-difference equations are solved by successive overrelaxation. The triangle mesh, which is constructed numerically by solving Laplace's equation, is easily adapted to nonrectangular boundaries and interfaces. Examples of numerical results are given for the magnetostatic problem with iron, and other possible applications are mentioned.
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