Title :
Algebraic multigrid method for solving FEM matrix equations for 3D static problems
Author :
Polstyanko, Sergey V. ; Peng, Guanghua ; Lee, Jin-Fa
Author_Institution :
Ansoft Corp., Pittsburgh, PA, USA
fDate :
5/1/1999 12:00:00 AM
Abstract :
An implementation of the algebraic multigrid method and its application for solving matrix equations arising from 3D FEM static analysis are addressed. The method, which is based on multigrid principles, is designed to solve such problems efficiently by using only the information contained in the matrix equation itself without any geometrical background. A number of numerical experiments have been conducted to study the complexity of the algorithm as well as its convergence behavior
Keywords :
capacitors; finite element analysis; iterative methods; linear differential equations; matrix algebra; 3D static problems; FEM matrix equations; algebraic multigrid method; convergence behavior; iterative solution; numerical experiments; parallel plate capacitor; Convergence of numerical methods; Difference equations; Differential equations; Finite difference methods; Finite element methods; Frequency; Iterative methods; Multigrid methods; Partial differential equations; Sparse matrices;
Journal_Title :
Magnetics, IEEE Transactions on
