Table of Contents
ISRN Applied Mathematics
Volume 2012, Article ID 134097, 14 pages
http://dx.doi.org/10.5402/2012/134097
Research Article

A Simple Anisotropic Mesh-Refinement Strategy for Triangular Elements in 2D

Department of Applied Mechanics, Chalmers University of Technology, 41296 Göteborg, Sweden

Received 26 November 2012; Accepted 13 December 2012

Academic Editors: M. Braack and Y. Wang

Copyright © 2012 Fredrik Larsson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A novel approach to anisotropic mesh-refinement of linear triangular elements in the finite element method is proposed. Using the method of solving a hierarchically refined dual problem in the a posteriori error analysis, indicators for edge refinement, rather than element refinement, can be obtained. A complete adaptive strategy is presented and illustrated by some numerical examples.