On the selective local stabilization of the mixed Q1–P0 element

DOI10.1002/fld.1505zbMath1130.65109OpenAlexW2135573550MaRDI QIDQ5434234

Jinshui Qin, Shangyou Zhang

Publication date: 4 January 2008

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.1505

zbMATH Keywords

stabilitynumerical experimentsmixed finite elementsStokes equationsquadrilateral finite elementsquadratic velocity-constant pressure elements

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (5)

Accurate numerical integration for the quadrilateral and hexahedral finite elements ⋮ \(C_0P_2-P_0\) Stokes finite element pair on sub-hexahedron tetrahedral grids ⋮ A macroelement stabilization for mixed finite element/finite volume discretizations of multiphase poromechanics ⋮ Stable \(Q_k-Q_{k-1}\) mixed finite elements with discontinuous pressure ⋮ New convergence analysis for assumed stress hybrid quadrilateral finite element method

Cites Work

• Mixed and Hybrid Finite Element Methods

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