UNSPECIFIED. (2001) Numerical analysis of a relaxed variational model of hysteresis in two-phase solids. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 35 (5). pp. 865-878. ISSN 0764-583X

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
Publisher:	E D P SCIENCES
ISSN:	0764-583X
Date:	September 2001
Volume:	35
Number:	5
Number of Pages:	14
Page Range:	pp. 865-878
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/11513

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