Algebraic multigrid methods for magnetostatic field problems

• Published in: IEEE transactions on magnetics Vol. 38; no. 2; pp. 477 - 480
• Main Authors: Reitzinger, S., Kaltenbacher, M.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.03.2002; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algebra; Applied classical electromagnetism; Electromagnetism; electron and ion optics; Exact sciences and technology; Finite element method; Finite element methods; Fundamental areas of phenomenology (including applications); Iron; Iterative methods; Lagrangian functions; Linear systems; Magnetism; Magnetostatic fields; Magnetostatics; Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems; Mathematical analysis; Mathematical models; Maxwell equations; Multigrid methods; Physics; Solvers; Sparse matrices; Symmetric matrices; Vectors; Finite element method; Magnetostatics; Discretization; Static field; Digital simulation; Theoretical study; Magnetic fields
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/20.996126

The finite-element (FE) method, which will be used for the discretization of three-dimensional magnetostatic field problems, usually yields a large and sparse matrix equation. For different FE-discretizations (i.e., Lagrange and Nedelec FE-functions) we will present appropriate algebraic multigrid solvers (preconditioners) for the efficient solution of the arising system of equations. Numerical results will demonstrate the applicability of the developed algebraic multigrid methods.