An adaptive algebraic multigrid algorithm for micromagnetism

Author

Sun, Jiguang ; Monk, Peter

Author_Institution

Appl. Math. Res. Center, Delaware State Univ., Dover, DE

Volume

42

Issue

6

fYear

2006

fDate

6/1/2006 12:00:00 AM

Firstpage

1643

Lastpage

1647

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;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2006.872004

Filename

1634473