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A second-order scheme for a nonstationary Stokes hemivariational inequality
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A second-order scheme for a nonstationary Stokes hemivariational inequality

Weimin Han and Yuan Yao
Applied mathematics letters, Vol.184, 110118
01/01/2027
DOI: 10.1016/j.aml.2026.110118

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Abstract

This paper presents a temporal semi-discrete scheme for a nonstationary Stokes hemivariational inequality. To approximate the time derivative, a mid-point discretization is used in the first time step, and the BDF2 for the other time steps. Under appropriate solution regularity assumptions, the scheme is shown to be of second order with respect to the time step-size.
Error estimate Nonstationary Stokes hemivariational inequality Second-order scheme

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