Numerical analysis of a 4th-order time parallel algorithm for the time-dependent Navier-Stokes equations

DOI10.1016/j.apnum.2019.10.010zbMath1435.65163OpenAlexW2982020826MaRDI QIDQ2301303

Wenjia Liu, Dandan Xue, Yan-ren Hou

Publication date: 24 February 2020

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2019.10.010

zbMATH Keywords

stabilityNavier-Stokes equationsparallel efficiencyconvergencyreduced 4th revisionist integral deferred correction method (RIDC4)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05)

Related Items

Optimal-order convergence of a two-step BDF method for the Navier-Stokes equations with \(H^1\) initial data, On the two-step BDF finite element methods for the incompressible Navier-Stokes problem under boundary conditions of friction type, Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(H^1\) initial data

Uses Software

• RIDC

Cites Work

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