Numerical Analysis of a Relaxed Variational Model of Hysteresis in Two-Phase Solids
Carsten Carstensen, Petr Plecháč (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
This paper presents the numerical analysis for a variational formulation of rate-independent phase transformations in elastic solids due to Mielke The new model itself suggests an implicit time-discretization which is combined with the finite element method in space. error estimates are established for the quasioptimal spatial approximation of the stress field within one time-step. error estimates motivate an adaptive mesh-refining algorithm for efficient discretization....