A posteriori error estimates of edge residual type of finite element method for nonmonotone quasi‐linear elliptic problems |
| |
Authors: | Liming Guo Ziping Huang Cheng Wang |
| |
Institution: | Department of Mathematics, Tongji University, , Shanghai 200092, People's Republic of China |
| |
Abstract: | In this article, we study the edge residual‐based a posteriori error estimates of conforming linear finite element method for nonmonotone quasi‐linear elliptic problems. It is proven that edge residuals dominate a posteriori error estimates. Up to higher order perturbations, edge residuals can act as a posteriori error estimators. The global reliability and local efficiency bounds are established both in H 1‐norm and L 2‐norm. Numerical experiments are provided to illustrate the performance of the proposed error estimators. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 813–837, 2014 |
| |
Keywords: | a posteriori error estimates edge residuals quasi‐linear elliptic problems |
|
|