On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements (Q1760124)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements |
scientific article; zbMATH DE number 6104883
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements |
scientific article; zbMATH DE number 6104883 |
Statements
On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements (English)
0 references
12 November 2012
0 references
The paper analyzes the equilibrated residual method for a posteriori error estimation of finite element approximation on quadrilateral elements. The author proves that the estimator obtained by solving the element residual problems over an infinite dimensional space \(H^{1}(K)/ \mathbb{R}\) is asymptotically exact in the energy norm for the regular solutions provided that the degree of approximation is of odd order and the elements are rectangles.
0 references
finite element method
0 references
a posteriori error estimation
0 references
equilibrated residual method
0 references
asymptotic exactness
0 references
quadrilateral elements
0 references
0 references
0 references
0 references
0 references
0 references
