On robustness of edge‐based FE analysis using algebraic multigrid method

Abstract

Purpose

This paper discusses the robustness of the algebraic multigrid (AMG) method as well as geometric multigrid (GMG) method against mesh distortion in edge‐based finite element analysis.

Design/methodology/approach

Analyzes a simple magnetostatic problem, in which the model consists of a cubic iron and the surrounding air region. Prepares three meshes which have same number of elements to evaluate the robustness of multigrid against the distortion of mesh.

Findings

The AMG method is shown to be more robust against mesh distortion than the GMG method.

Originality/value

Shows that the AMG is more robust than the GMG. This result is of practical interest to the researchers in this field.

Citation

Watanabe, K. and Igarashi, H. (2005), "On robustness of edge‐based FE analysis using algebraic multigrid method", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 24 No. 2, pp. 408-417. https://doi.org/10.1108/03321640510586042