Question

In Finite Element Method (FEM), for discretization purpose in general, which optionis not true for mesh refinement?

(a) Previous meshes should be contained in the refined mesh

(b) Any point in the body can be included within an arbitrarily small element at any stage of the mesh refinement

(c) The same order of approximation for the solution may be preserved through all stages of the refinement process

(d) Elements with very large aspect ratios are desired

I got this question in an interview.

My question is from Some Comments on Mesh Generation and Imposition of Boundary Conditions in portion Single Variable Problems of Finite Element Method

Answer 1

The correct option is (d) Elements with very large aspect ratios are desired

To explain I would say: A mesh refinement should satisfy three conditions, 1) previous meshes should be contained in the refined mesh, 2) Any point in the body can be included within an arbitrarily small element at any stage of the mesh refinement 3) The same order of approximation for the solution may be preserved through all stages of the refinement process.