A Novel Algebraic Multigrid Preconditioning for Large-Scale Edge-Element Analyses

Abstract

The Algebraic multigrid (AMG) method is an efficient preconditioner for large-scale finite element analyses. However, in edge-element analyses, the large null space of the coefficient matrices causes difficulties in applying the AMG techniques. We present a new algebraic multigrid preconditioning for edge-element analyses. Numerical results show the advantage of the proposed preconditioner.