An adaptive mixed formulation for 3D magnetostatics
An enhanced version gi 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, an 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 approximations. 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 nn adaptive mesh refinement procedure.
magnetostatics finite element method remeshing