Multigrid methods for the computation of 3D electromagnetic field problems

The focus of this paper is on the efficient numerical computation of 3D electromagnetic field problems by using the finite element (FE) and multigrid (MG) methods. The magnetic vector potential is used as the field variable and the discretization is performed by Lagrange (nodal) as well as Ne´de´lec...

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Published inCompel Vol. 20; no. 2; pp. 581 - 594
Main Authors Kaltenbacher, M., Reitzinger, S., Schinnerl, M., Schöberl, J., Landes, H.
Format Journal Article
LanguageEnglish
Published Bradford MCB UP Ltd 01.06.2001
Emerald Group Publishing Limited
Subjects
3-D graphics
Algebra
Applied mathematics
Electromagnetics
Electromagnetism
Finite element analysis
Finite element method
Mathematical analysis
Methods
Multigrid method
Numerical analysis
Sensors
Studies
Finite element method
Electromagnetics
Multigrid method
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Summary:The focus of this paper is on the efficient numerical computation of 3D electromagnetic field problems by using the finite element (FE) and multigrid (MG) methods. The magnetic vector potential is used as the field variable and the discretization is performed by Lagrange (nodal) as well as Ne´de´lec (edge) finite elements. The resulting system of equations is solved by applying a preconditioned conjugate gradient (PCG) method with an adapted algebraic multigrid (AMG) as well as an appropriate geometric MG preconditioner.
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ISSN:0332-1649
2054-5606
DOI:10.1108/03321640110383915