Title :
Geometric Multigrid With Plane Smoothing for Thin Elements in 3-D Magnetic Fields Calculation
Author :
Chen, Chao ; Bíró, Oszkár
Author_Institution :
Inst. for Fundamentals & Theor. in Electr. Eng., Graz Univ. of Technol., Graz, Austria
Abstract :
The geometric multigrid (MG) method using the point-wise iterative method as the smoother converges slowly for 3-D magnetic fields calculation when there are thin edge elements in the finite element mesh. This paper proposes an edge based plane smoother so that the convergence of the MG method can be significantly improved. Numerical examples show that the MG method with the proposed smoother retains its good efficiency even for problems discretized by edge elements with extremely high aspect ratios.
Keywords :
differential equations; finite element analysis; iterative methods; magnetic fields; smoothing methods; 3D magnetic fields calculation; finite element mesh; geometric multigrid; high aspect ratios; plane smoothing; pointwise iterative method; thin edge elements; Equations; Finite element methods; Magnetic noise; Magnetic shielding; Magnetostatics; Mathematical model; Smoothing methods; Conjugate gradient; geometric multigrid; magnetic field calculation; smoother; thin element;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2011.2175203
