Title :
Electro-quasistatic calculation of electric field strength on high-voltage insulators with an algebraic multigrid algorithm
Author :
Reitzinger, Stefan ; Schreiber, Ute ; Van Rienen, Ursula
Author_Institution :
Inst. of Comput. Math., Johannes Kepler Univ., Linz, Austria
fDate :
7/1/2003 12:00:00 AM
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.
Keywords :
boundary-value problems; conjugate gradient methods; electric fields; high-voltage engineering; insulators; integration; iterative methods; matrix algebra; partial differential equations; BVP; HV insulator simulation; Jacobi-preconditioner; Krylov subspace methods; algebraic multigrid algorithm; algebraic multigrid preconditioner; bi-orthogonal conjugate gradient conjugate residual method; complex symmetric matrix structure method; complex symmetric system matrices; electric field strength; electro-quasistatic calculation; high-voltage insulators; numerical simulation; outer iteration; quasi-minimal residual method; Boundary value problems; Dielectrics and electrical insulation; Insulator testing; Jacobian matrices; Mathematical model; Maxwell equations; Numerical simulation; Partial differential equations; Smoothing methods; Symmetric matrices;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2003.810555