Algebraic multilevel methods for edge elements

An algebraic multilevel method is proposed for the resolution of linear systems coming from an edge-element discretization of EM models. Graph-flow problems are introduced to ensure a natural compatibility condition linking nodal and edge interlevel transfer operators. The efficiency of our method i...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2006-04, Vol.42 (4), p.619-622
Main Authors: Perrussel, R., Nicolas, L., Musy, F., Krahenbuhl, L., Schatzman, M., Poignard, C.
Format: Article
Language:English
Subjects:
Algebra
Algebraic multigrid methods
Boundary conditions
Computer Science
Cross-disciplinary physics: materials science
rheology
Discretization
Eddy currents
edge elements
Engineering Sciences
Exact sciences and technology
Finite element methods
Gaussian processes
Joining processes
Linear systems
Magnetism
Materials science
Mathematical models
Mathematics
Modeling and Simulation
Multigrid methods
Multilevel
Numerical Analysis
Other
Other topics in materials science
Physics
Smoothing methods
Solvers
Two dimensional
Two dimensional displays
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Summary:An algebraic multilevel method is proposed for the resolution of linear systems coming from an edge-element discretization of EM models. Graph-flow problems are introduced to ensure a natural compatibility condition linking nodal and edge interlevel transfer operators. The efficiency of our method is compared to classical solvers on two-dimensional and three-dimensional eddy current problems
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2006.871604