Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data
DOI10.1007/s10915-023-02445-6arXiv2202.03777MaRDI QIDQ6191351
Bikram Bir, Deepjyoti Goswami, Amiya K. Pani
Publication date: 9 February 2024
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.03777
Navier-Stokes equationsbackward Euler methodpenalty methoduniform error estimatesoptimal \(L^2\) error estimatesbenchmark computation
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element methods applied to problems in fluid mechanics (76M10) 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)
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