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1999•IEEE Transactions on MagneticsRequires access

Algebraic multigrid method for solving FEM matrix equations for 3D static problems

Sergey V. Polstyanko, Guanghua Peng, Jin‐Fa Lee

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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.

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What this paper is about

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.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Multigrid method, Finite element method, Matrix (chemical analysis), Convergence (economics), Computer science, Applied mathematics, Algebraic equation, Algebraic number

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