Electro-quasistatic calculation of electric field strength on high-voltage insulators with an algebraic multigrid algorithm

Abstract

This paper is concerned with the numerical study of a new algebraic multigrid preconditioner for complex symmetric system matrices. The authors use several different Krylov subspace methods as an outer iteration, namely the quasi-minimal residual method of Freund and Nachtigal, the bi-orthogonal conjugate gradient conjugate residual method of Clemens, and the complex symmetric matrix structure method of Bunse-Gerstner and Stoever. The authors compare the results with the standard Jacobi-preconditioner and test their approach on the numerical simulation of high-voltage insulators.