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Numerical analysis of parabolic equations with Prandtl--Ishlinskii hysteresis of play type

Xu, Shu et al.
arXiv (All) · Papers
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numerical-analysis
Rigorous error analysis for numerical approximations of parabolic equations with hysteresis remains limited, even for the widely used Prandtl--Ishlinskii hysteresis of play type. In this work, we establish an $O(h+τ)$ error bound for an implicit Euler $P_1$ finite element discretization. The analysi
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