Recent experiences on mixed finite elements for 2D simulations of magnetic fields

Abstract

A mixed formulation of two‐dimensional magnetostatic problems, where both B and H are unknowns, is considered. The solution is obtained by minimizing the residual of the constitutive law, imposing Maxwell’s equations as constraints by means of Lagrange multipliers. When a finite element discretization involving face and edge elements is applied, we have to solve a linear system whose algebraic treatment presents some difficulties. In the paper, the attention is focused on the computational aspects of the proposed methodology with special emphasis on the choice of algebraic solvers and of possible preconditioning techniques. A case study, concerning the field analysis of a magnetic screen, is presented and discussed.

Citation

Di Barba, P., Perugia, I. and Savini, A. (1998), "Recent experiences on mixed finite elements for 2D simulations of magnetic fields", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 17 No. 5, pp. 674-681. https://doi.org/10.1108/03321649810221125