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

摘要

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.