Unconditional convergence and superconvergence analysis for the transient Stokes equations with damping

Zhenzhen Li, Minghao Li and Dongyang Shi

Applied Mathematics and Computation, 2021, vol. 389, issue C

Abstract: In this paper, the linearized backward Euler scheme for the transient Stokes equations with damping is presented, in which the velocity and pressure are approximated by the lowest-order Bernadi-Raugel rectangular element pair. Unconditional optimal error estimates of the velocity in the norms L∞(L2) and L∞(H1), and the pressure in the norm L∞(L2) are derived through the Stokes operator and the H−1-norm estimate. Moreover, the superclose properties and global superconvergent results are obtained by the interpolation post-processing technique. Finally, some numerical results are provided to confirm the theoretical analysis.

Keywords: Stokes equations with damping; Linearized backward Euler scheme; Unconditional optimal error estimates; Superclose and superconvergent results (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:389:y:2021:i:c:s0096300320305282

DOI: 10.1016/j.amc.2020.125572

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