Multigrid methods for the computation of 3D electromagnetic field problems

Abstract

The focus of this paper is on the efficient numerical computation of 3D electromagnetic field problems by using the finite element (FE) and multigrid (MG) methods. The magnetic vector potential is used as the field variable and the discretization is performed by Lagrange (nodal) as well as Ne´de´lec (edge) finite elements. The resulting system of equations is solved by applying a preconditioned conjugate gradient (PCG) method with an adapted algebraic multigrid (AMG) as well as an appropriate geometric MG preconditioner.

Citation

Kaltenbacher, M., Reitzinger, S., Schinnerl, M., Schöberl, J. and Landes, H. (2001), "Multigrid methods for the computation of 3D electromagnetic field problems", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 20 No. 2, pp. 581-594. https://doi.org/10.1108/03321640110383915