Title :
An adaptive algebraic multigrid algorithm for micromagnetism
Author :
Sun, Jiguang ; Monk, Peter
Author_Institution :
Appl. Math. Res. Center, Delaware State Univ., Dover, DE
fDate :
6/1/2006 12:00:00 AM
Abstract :
We present an adaptive algebraic multigrid algorithm. The method is intended for large sparse matrix equations that arise from finite-element discretizations of the stray field in three-dimensional micromagnetism on nonuniform or unstructured grids. It uses a varying threshold value to control the grid ratio, trying to optimize the overall efficiency of the algebraic multigrid solver. We present numerical results and compare them with the preconditioned conjugate gradient method
Keywords :
conjugate gradient methods; differential equations; ferromagnetic materials; micromagnetics; sparse matrices; 3D micromagnetism grids; adaptive algebraic multigrid algorithm; conjugate gradient method; finite-element discretizations; grid ratio; large sparse matrix equations; multigrid solver; stray field; threshold value; Equations; Finite element methods; Gradient methods; Magnetic anisotropy; Magnetic materials; Magnetization; Magnetostatics; Micromagnetics; Perpendicular magnetic anisotropy; Sparse matrices; Algebraic multigrid (AMG); grid ratio; large sparse matrix; micromagnetism; threshold value;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2006.872004
