Abstract
This paper deals with error estimates for space-time discretizations of a three-dimensional model for isothermal stress-induced transformations in shapememory materials. After recalling existence and uniqueness results, a fully-discrete approximation is presented and an explicit space-time convergence rate of order \(h^{\alpha/2} + \tau^{1/2}\) for some α ∈ (0,1] is derived.
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Mielke, A., Paoli, L., Petrov, A., Stefanelli, U. (2010). Error Bounds for Space-Time Discretizations of a 3D Model for Shape-Memory Materials. In: Hackl, K. (eds) IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials. IUTAM Bookseries, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9195-6_14
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DOI: https://doi.org/10.1007/978-90-481-9195-6_14
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