Error estimates of mixed finite element methods for time-fractional Navier-Stokes equations

DOI10.1007/s10915-016-0252-3zbMath1383.65107OpenAlexW2504456270MaRDI QIDQ520191

Xiaocui Li, Yinghan Zhang, Xiao-Yuan Yang

Publication date: 3 April 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-016-0252-3

zbMATH Keywords

stabilityconvergencenumerical exampleerror estimatesfinite element methodfinite difference methodCaputo derivativetime-fractional Navier-Stokes equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)

Related Items (10)

Error estimates of finite element methods for fractional stochastic Navier-Stokes equations ⋮ L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation ⋮ Semidiscrete Finite Element Analysis of Time Fractional Parabolic Problems: A Unified Approach ⋮ Galerkin type methods for semilinear time-fractional diffusion problems ⋮ Existence for a class of time-fractional evolutionary equations with applications involving weakly continuous operator ⋮ Fractional Navier-Stokes equation from fractional velocity arguments and its implications in fluid flows and microfilaments ⋮ Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises ⋮ Spectral methods for the time-fractional Navier-Stokes equation ⋮ Lattice BGK model for time-fractional incompressible Navier-Stokes equations ⋮ Numerical analysis for Navier-Stokes equations with time fractional derivatives

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