A low-order divergence-free H(div)-conforming finite element method for Stokes flows

DOI10.1093/IMANUM/DRAB080zbMath1502.65210arXiv2012.01689OpenAlexW3214832684MaRDI QIDQ5042905

Xu Li, Hong-Xing Rui

Publication date: 26 October 2022

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

Full work available at URL: https://arxiv.org/abs/2012.01689

zbMATH Keywords

Stokes problemoptimal error estimatesdivergence-free velocitypressure-robustness

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) 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 (3)

A modified convective formulation in Navier-Stokes simulations ⋮ The Mixed Finite Volume Methods for Stokes Problem Based on MINI Element Pair ⋮ Analysis of a \(\boldsymbol{P}_1 \oplus \boldsymbol{RT}_0\) finite element method for linear elasticity with Dirichlet and mixed boundary conditions

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