Brighi, B; Chipot, M (1998). Approximation of infima in the calculus of variations. Journal of Computational and Applied Mathematics, 98(2):273-287.
The goal of this paper is to give numerical estimates for some problems of the Calculus of Variations in the nonhomogeneous scalar case. The stored energy function considered is then a function φ:Ω × ℝn → ℝ. We try to compare the infimum of the energy defined by φ on a Sobolev space, with the infimum of the same energy on a finite element space, in terms of the mesh size. © 1998 Elsevier Science B.V. All rights reserved.
The goal of this paper is to give numerical estimates for some problems of the Calculus of Variations in the nonhomogeneous scalar case. The stored energy function considered is then a function φ:Ω × ℝn → ℝ. We try to compare the infimum of the energy defined by φ on a Sobolev space, with the infimum of the same energy on a finite element space, in terms of the mesh size. © 1998 Elsevier Science B.V. All rights reserved.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Computational Mathematics
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | Approximation, Calculus of variations, Finite elements |
| Language: | English |
| Date: | 1998 |
| Deposited On: | 23 Jul 2010 11:04 |
| Last Modified: | 23 Jan 2022 14:42 |
| Publisher: | Elsevier |
| ISSN: | 0377-0427 |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/S0377-0427(98)00112-5 |
Brighi, B