On some three-dimensional finite elements for incompressible media

DOI10.1016/0045-7825(87)90072-7zbMath0684.73036OpenAlexW2003888401MaRDI QIDQ1825706

Rolf Stenberg

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90072-7

zbMATH Keywords

error analysistetrahedral elementsincompressible viscous flowincompressible elasticitycontinuous pressure approximationhexahedral elementssmaller system of linear equationsthree-dimensional mixed finite element methods

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Incompressible viscous fluids (76D99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Basic methods in fluid mechanics (76M99)

Related Items (12)

Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations ⋮ Stability of a trilinear-trilinear approximation for the Stokes equations ⋮ Textbook Efficiency: Massively Parallel Matrix-Free Multigrid for the Stokes System ⋮ Finite element analysis of transient creep problems ⋮ A posteriori estimates of Taylor-Hood element for Stokes problem using auxiliary subspace techniques ⋮ \(C_0P_2-P_0\) Stokes finite element pair on sub-hexahedron tetrahedral grids ⋮ Computations with finite element methods for the Brinkman problem ⋮ A new family of stable mixed finite elements for the 3D Stokes equations ⋮ Shape optimization for Navier-Stokes equations with algebraic turbulence model: Numerical analysis and computation ⋮ Mixed Methods for the Approximation of Liquid Crystal Flows ⋮ Error Analysis of some Finite Element Methods for the Stokes Problem ⋮ Nitsche’s method for Navier–Stokes equations with slip boundary conditions

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