Estimates from above and from below for the homogenized coefficients (Q1078995)
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: Estimates from above and from below for the homogenized coefficients |
scientific article; zbMATH DE number 3960928
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates from above and from below for the homogenized coefficients |
scientific article; zbMATH DE number 3960928 |
Statements
Estimates from above and from below for the homogenized coefficients (English)
0 references
1987
0 references
The computation of the homogenized coefficients involves the solution of a minimum problem for a quadratic functional. The use of conforming finite elements provides estimates from above. In this paper we prove that, under realistic assumptions, the use of linear non-conforming finite elements provides estimates from below. Hence, a-posteriori error estimates for the homogenized coefficients can be obtained.
0 references
composite materials
0 references
homogenized coefficients
0 references
conforming finite elements
0 references
linear non-conforming finite elements
0 references
a-posteriori error estimates
0 references
0 references
0 references
