Three-dimensional stable nonconforming parallelepiped elements for the Stokes problem.

DOI10.1016/S0096-3003(01)00117-5zbMath1041.35060OpenAlexW2045964922MaRDI QIDQ1855760

Hoon Huh, Lee, Sungyun, Kim, Yongdeok

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00117-5

zbMATH Keywords

error estimatesstable numerical methodsconforming bubble functionsnonconforming parallelepiped elementsstationary Stokes boundary value problem

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)

Cites Work

• A stable nonconforming quadrilateral finite element method for the stationary Stokes and Navier-Stokes equations
• Error Analysis of some Finite Element Methods for the Stokes Problem
• Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
• Simple nonconforming quadrilateral Stokes element
• The stability of finite element methods
• Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
• Stable nonconforming quadrilateral finite elements for the Stokes problem

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