A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions

DOI10.1186/s13660-018-1914-5zbMath1498.65209OpenAlexW2901358064WikidataQ59796012 ScholiaQ59796012MaRDI QIDQ824891

Fei Teng, Yan Jie Zhou, Zhen-Dong Luo

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1914-5

zbMATH Keywords

stabilityconvergenceexistencefully discretized Crank-Nicolson finite spectral element formatsemi-discretized Crank-Nicolson formatthe two-dimensional non-stationary Stokes equations about vorticity-stream functions

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (3)

Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation ⋮ Reduced‐order extrapolation technique for coefficient vectors of numerical solutions about fluid mechanics equation ⋮ Rothe's method in combination with a fundamental sequences method for the nonstationary Stokes problem

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