Two low-order nonconforming finite element methods for the Stokes flow in three dimensions

DOI10.1093/imanum/dry021zbMath1466.65191arXiv1710.06682OpenAlexW2799576342WikidataQ130052235 ScholiaQ130052235MaRDI QIDQ5854361

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Publication date: 16 March 2021

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06682

zbMATH Keywords

finite element methodnonconformingdivergence-freeKorn's inequalityLBB condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (6)

Conforming finite element methods for two-dimensional linearly elastic shallow shell and clamped plate models ⋮ An enriched Galerkin method for the Stokes equations ⋮ A subspace of linear nonconforming finite element for nearly incompressible elasticity and Stokes flow ⋮ Analysis of a \(\boldsymbol{P}_1 \oplus \boldsymbol{RT}_0\) finite element method for linear elasticity with Dirichlet and mixed boundary conditions ⋮ Nonconforming finite element methods of order two and order three for the Stokes flow in three dimensions ⋮ Convergence and superconvergence analysis of a nonconforming finite element variable-time-step BDF2 implicit scheme for linear reaction-diffusion equations

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