Name
Title | ||
|---|---|---|
Robust Equilibrated Error Estimator for Diffusion Problems: Mixed Finite Elements in Two Dimensions. |
Abstract | ||
|---|---|---|
This paper introduces and analyzes an equilibrated a posteriori error estimator for mixed finite element approximations to the diffusion problem in two dimensions. The estimator, which is a generalization of those in Braess and Schöberl (Math Comput 77:651–672, 2008) and Cai and Zhang (SIAM J Numer Anal 50(1):151–170, 2012), is based on the Prager–Synge identity and on a local recovery of a gradient in the curl free subspace of the $$H(\text {curl})$$-confirming finite element spaces. The resulting estimator admits guaranteed reliability, and its robust local efficiency is proved under the quasi-monotonicity condition of the diffusion coefficient. Numerical experiments are given to confirm the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s10915-020-01199-9 | Journal of Scientific Computing |
DocType | Volume | Issue |
Journal | 83 | 1 |
ISSN | Citations | PageRank |
0885-7474 | 0 | 0.34 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Difeng Cai | 1 | 0 | 0.34 |
| zhiqiang cai | 2 | 344 | 78.81 |
| Shun Zhang | 3 | 0 | 0.34 |