A review of anisotropic refinement methods for triangular meshes in FEM

Abstract

This review gives an overview of current anisotropic refinement methods in finite elements, with the focus on the actual refinement step. In this we highlight strengths and weaknesses of different approaches and hope to stimulate research into closer coupling of the refinement process with efficient solution strategies for the equation systems arising from the discretized equations. A rough overview of different categories of error estimation techniques relevant in the anisotropic setting is also given. © 2013 Springer-Verlag Berlin Heidelberg.