An adaptive mixed formulation for 3D magnetostatics

Abstract

An enhanced version of a mixed field‐based formulation for magnetostatics previously developed by the authors is presented and its features are discussed. The formulation minimises the residual of the constitutive equation, and exactly imposes Maxwell’s equations with Lagrange multipliers. Finite elements satisfying the physical continuity properties for both the magnetic and the magnetic induction fields are used in the numerical approximation. The possibility of decoupling the formulation in two separate sets of equations is discussed. A preconditioned iterative method to solve the final algebraic linear system is presented. Finally, a very natural refinement indicator is defined to guide an adaptive mesh refinement procedure.

Citation

Alotto, P. and Perugia, I. (2000), "An adaptive mixed formulation for 3D magnetostatics", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 19 No. 1, pp. 106-120. https://doi.org/10.1108/03321640010303194