A Novel Algebraic Multigrid Preconditioning for Large-Scale Edge-Element Analyses

The algebraic multigrid (AMG) method is an efficient preconditioner for large-scale finite element analyses. However, in edge-element analyses, the large null space of the coefficient matrices causes difficulties in applying AMG techniques. Here, we present a new AMG preconditioning for edge-element...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2007-04, Vol.43 (4), p.1481-1484
Main Authors: Mifune, T., Iwashita, T., Shimasaki, M.
Format: Article
Language:English
Subjects:
Algebra
Algebraic multigrid (AMG)
Character generation
Coefficients
Cross-disciplinary physics: materials science
rheology
edge-elements
Equations
Exact sciences and technology
Finite element method
finite element method (FEM)
Finite element methods
Iterative methods
Large-scale systems
Linear systems
Magnetic analysis
Magnetism
Magnetostatics
Materials science
Mathematical analysis
Mathematical models
Matrices
Matrix methods
Null space
Other topics in materials science
Physics
Preconditioning
Vectors
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Description
Summary:The algebraic multigrid (AMG) method is an efficient preconditioner for large-scale finite element analyses. However, in edge-element analyses, the large null space of the coefficient matrices causes difficulties in applying AMG techniques. Here, we present a new AMG preconditioning for edge-element analyses. Numerical results demonstrate a promising performance for our proposed preconditioner
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2007.891420