Title :
Algebraic multilevel methods for edge elements
Author :
Perrussel, R. ; Nicolas, L. ; Musy, F. ; Krähenbühl, L. ; Schatzman, M. ; Poignard, C.
Author_Institution :
Inst. Camille Jordan, Ecole Centrale de Lyon, Ecully
fDate :
4/1/2006 12:00:00 AM
Abstract :
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
Keywords :
eddy currents; electromagnetic field theory; linear algebra; 2D eddy current problems; 3D eddy current problems; EM models; algebraic multilevel methods; edge interlevel transfer operators; edge-element discretization; graph-flow problems; linear system resolution; linking nodal; natural compatibility condition; Boundary conditions; Eddy currents; Finite element methods; Gaussian processes; Helium; Joining processes; Linear systems; Multigrid methods; Smoothing methods; Two dimensional displays; Algebraic multigrid methods; edge elements;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2006.871604
