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| Title
| - Numerical Analysis of a Relaxed Variational Model of Hysteresis in Two-Phase Solids
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| Abstract
| - This paper presents the numerical analysis for a variational formulation of rate-independent phase transformations in elastic solids due to Mielke et al. The new model itself suggests an implicit time-discretization which is combined with the finite element method in space. A priori error estimates are established for the quasioptimal spatial approximation of the stress field within one time-step. A posteriori error estimates motivate an adaptive mesh-refining algorithm for efficient discretization. The proposed scheme enables numerical simulations which show that the model allows for hysteresis.
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| Date Copyrighted
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| Rights
| - © EDP Sciences, SMAI, 2001
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