On the energy scaling behaviour of a singularly perturbed Tartar square
In this article we derive an (almost) optimal scaling law for a singular perturbation problem associated with the Tartar square. As in Winter (Eur J Appl Math 8(2):185-207, 1997), Chipot (Numer Math 83(3):325-352, 1999), our upper bound quantifies the well-known construction which is used in the lite...
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| Main Authors: | , |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2022
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| In: |
Archive for rational mechanics and analysis
Year: 2022, Volume: 243, Issue: 1, Pages: 401-431 |
| ISSN: | 1432-0673 |
| DOI: | 10.1007/s00205-021-01729-1 |
| Online Access: | Resolving-System, kostenfrei, Volltext: https://doi.org/10.1007/s00205-021-01729-1 Verlag, kostenfrei, Volltext: https://link.springer.com/10.1007/s00205-021-01729-1 |
| Author Notes: | Angkana Rüland & Antonio Tribuzio |
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On the energy scaling behaviour of a singularly perturbed tartar square
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