A finite element domain decomposition combined with algebraic multigrid method for large-scale electromagnetic field computation

Abstract

A nesting combination of the finite element domain decomposition method and the algebraic multigrid method is presented in this paper, which does not use the algebraic multigrid method as a pure iterative solver, but nests the iteration steps of the domain decomposition method into the iteration steps of the algebraic multigrid method. Mainly the step of updating inner boundary values in the domain decomposition iteration is nested into the transition steps of the coarse and the fine grids in algebraic multigrid method. The number of iteration between the sub-domains of the domain decomposition method can be decreased greatly by the nesting combination approach. The approach is suitable for parallel computation of large-scale problems.