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A finite element program for use in the instruction of electromagnetic field theory is described. The unity among the various disciplines of physics through the Poisson equation is exploited to make the same program solve problems from many areas. Graphics menus and adaptive mesh generation capabilities are provided to make the program easily usable by the uninitiated student.

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Error estimation and the associated adaptive refinement of boundary element meshes in solving Poissonian magnetic fields is described. The percentage change in the potential or its gradient in two consecutive boundary element solutions is employed as a measure of error.