A Remark on the Fractional Step Theta Scheme for the Nonstationary Stokes Equations

DOI10.1007/978-3-319-32857-7_41zbMath1398.76160OpenAlexW2516756143MaRDI QIDQ2954447

Florian Zanger, Werner Varnhorn

Publication date: 13 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-32857-7_41

zbMATH Keywords

convergencefinite differencesStokes equationssemi-discretizationfractional step theta

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

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• Behaviour at time t=0 of the solutions of semi-linear evolution equations
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Time stepping procedures for the non-stationary Stokes equations
• On Approximation and Computation of Navier-Stokes Flow

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