Quadratic nonconforming finite element method for 3D Stokes equations on cuboid meshes

DOI10.1007/s11766-016-3400-5zbMath1363.76020OpenAlexW2319231169MaRDI QIDQ320593

Xiaoshan Wang, Xinchen Zhou, Zhao-Liang Meng, Zhong-xuan Luo

Publication date: 6 October 2016

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-016-3400-5

zbMATH Keywords

stabilityStokes equationsmacroelementnonconforming finite element

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)

Cites Work

• A stable finite element for the Stokes equations
• A subspace of the DSSY nonconforming quadrilateral finite element space for the Stokes equations
• A cheapest nonconforming rectangular finite element for the stationary Stokes problem
• Three‐dimensional quadratic nonconforming brick element
• Analysis of Mixed Finite Element Methods for the Stokes Problem: A Unified Approach
• Inf-sup stable nonconforming finite elements of higher order on quadrilaterals and hexahedra
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• An analysis of the convergence of mixed finite element methods
• A new family of stable mixed finite elements for the 3D Stokes equations

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