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

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.

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.

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

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