An original solution for unbounded electromagnetic 2D- and 3D-problems throughout the finite element method

Abstract

A finite-element modeling of open boundary problems is presented and applied to magnetostatic problems in two and three dimensions. It is shown that computation of the magnetic field is achieved with a very good accuracy and good speed. It is noted that the general matrix formulation described permits the efficient use of a transformation more complex than that given by J. Imhoff et al. (1989). Implementation in existing finite-element software is very simple. Although the case of magnetostatic problems has been considered for simplicity, it is quite possible to apply the method to other kinds of problems (magnetodynamic ones or those for which a variational formulation is nonexistent). Such a technique of resolution of unbounded problems is really performant in comparison with other methods, and one of its advantages is the rapidity of calculation.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>