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

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.