An algebraic multilevel preconditioner for field-circuit coupled problems
type: Item
instance of: scholarly article
title: An algebraic multilevel preconditioner for field-circuit coupled problems
zbMATH Open document ID: 1061.78014
author: Domenico Lahaye
author: Stefan Vandewalle
author: Kay Hameyer
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-16T00:00:00Z
review text: Quasi-stationary magnetic field formulations are often coupled with lumped parameter models for the driving electrical systems. The finite element discretization of the coupled problem results in solving large linear systems with a coefficient matrix bordered by dense coupling blocks. The presence of these blocks prevents the straightforward application of black box algebraic multigrid solvers. The authors propose a modified multigrid cycle that takes the coupling blocks into account. Furthermore the authors use block preconditioning and algebraic multigrid shemes as a preconditioner for the conjugate gradient method for complex symmetric systems. Numerical results are presented for a 45kW induction machine, using the the block Jacobi and the generalized algebraic multigrid (AMG) scheme accelerated by the conjugate gradient method. The number of iterations required by both schemes is mesh-width independent, and the generalized AMG scheme is better than the block Jacobi scheme. In terms of performance (CPU time) the generalized AMG scheme is superior to the block Jacobi scheme and becomes more significant with increasing mesh size.
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 78A55
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65F50
zbMATH DE Number: 2091464
zbMATH Keywords: Eddy currents
zbMATH Keywords: finite element method
zbMATH Keywords: iterative methods
reviewed by: George A. Gravvanis
describes a project that uses: PETSc
MaRDI profile type: Publication
full work available at URL: j.cam.2003.04.010
OpenAlex ID: W2078013934
cites work: Q4356470
cites work: Q4132373
cites work: Conjugate Gradient-Type Methods for Linear Systems with Complex Symmetric Coefficient Matrices
cites work: Q3727300
cites work: Q3809172
cites work: Parallel iterative methods for sparse linear systems
cites work: Q3714651
cites work: Q4527708
DOI: 10.1016/J.CAM.2003.04.010
description: scientific article; zbMATH DE number 2091464