Error estimates for space-time discretizations of a rate-independent variational inequality
Please always quote using this URN:urn:nbn:de:0296-matheon-5777
- This paper deals with error estimates for space-time discretizations in the context of evolutionary variational inequalities of rate-independent type. After introducing a general abstract evolution problem, we address a fully-discrete approximation and provide a priori error estimates. The application of the abstract theory to a semilinear case is detailed. In particular, we provide explicit space-time convergence rates for the isothermal Souza-Auricchio model for shape-memory alloys.
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| Author: | Alexander Mielke, Laetitia Paoli, Adrien Petrov, Ulisse Stefanelli |
|---|---|
| URN: | urn:nbn:de:0296-matheon-5777 |
| Referee: | Jürgen Sprekels |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2009/10/03 |
| Release Date: | 2009/09/03 |
| Tag: | |
| Institute: | Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) |
| MSC-Classification: | 49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Jxx Existence theories / 49J40 Variational methods including variational inequalities [See also 47J20] |
| 74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Cxx Plastic materials, materials of stress-rate and internal-variable type / 74C05 Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials) | |
| 74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Nxx Phase transformations in solids [See also 74A50, 80Axx, 82B26, 82C26] / 74N30 Problems involving hysteresis | |
| Preprint Number: | 570 |
