Name
Title | ||
|---|---|---|
A posteriori error estimators for the first-order least-squares finite element method |
Abstract | ||
|---|---|---|
In this paper, we propose a posteriori error estimators for certain quantities of interest for a first-order least-squares finite element method. In particular, we propose an a posteriori error estimator for when one is interested in @?@s-@s"h@?"0 where @s=-A@?u. Our a posteriori error estimators are obtained by assigning proper weight (in terms of local mesh size h"T) to the terms of the least-squares functional. An a posteriori error analysis yields reliable and efficient estimates based on residuals. Numerical examples are presented to show the effectivity of our error estimators. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cam.2010.06.004 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
certain quantity,efficient estimate,posteriori error estimator,finite element method,error estimator,posteriori error analysis yield,numerical example,local mesh size h,proper weight,first-order least-squares,adaptive mesh refinement,least square method,first order,least square,least squares method,primary | Least squares,Applied mathematics,First order,Mathematical analysis,A priori and a posteriori,Adaptive mesh refinement,Finite element method,Numerical analysis,Calculus,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
235 | 1 | 0377-0427 |
Citations | PageRank | References |
2 | 0.40 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| JaEun Ku | 1 | 14 | 6.30 |
| Eun-Jae Park | 2 | 83 | 17.82 |