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Chipot, M (1999). The appearance of microstructures in problems with incompatible wells and their numerical approach. Numerische Mathematik, 83(3):325-352.
The goal of the paper is to analyze the creation of microstructure in problems of Calculus of Variations with wells. More precisely we consider a case with strong incompatibility between the wells. This forces the minimizing sequences to use other gradients than the wells in a puzzling way. Using a method we are then able to single out discrete minimizing sequences and to give energy estimates in terms of the mesh size.
| 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: | microstructures, incompatible wells, oscillations, material science, minimizing sequences, finite element method, energy estimates |
| Language: | English |
| Date: | 1999 |
| Deposited On: | 23 Jul 2010 09:43 |
| Last Modified: | 07 Jan 2025 04:41 |
| Publisher: | Springer |
| ISSN: | 0029-599X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/s002110050452 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1714946 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0937.65070 |
Chipot, M