Mixed finite element methods for general quadrilateral grids

DOI10.1016/j.amc.2011.01.036zbMath1410.76184OpenAlexW1994909438MaRDI QIDQ632896

Hyun Chan Pyo, Do Young Kwak

Publication date: 28 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.036

zbMATH Keywords

quadrilateral gridsmixed finite elementRaviart-Thomas element

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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 (9)

Direct serendipity and mixed finite elements on convex quadrilaterals ⋮ Divergence-free \(\mathbf{\mathcal{H}}(\mathbf{div})\)-conforming hierarchical bases for magnetohydrodynamics (MHD) ⋮ A Staggered Discontinuous Galerkin Method of Minimal Dimension on Quadrilateral and Polygonal Meshes ⋮ A div FOSLS method suitable for quadrilateral RT and hexahedral RTN \(H(\operatorname{div})\)-elements ⋮ The lowest-order weak Galerkin finite element method for the Darcy equation on quadrilateral and hybrid meshes ⋮ Construction of \(H({\operatorname{div}})\)-conforming mixed finite elements on cuboidal hexahedra ⋮ Unnamed Item ⋮ Application of functional error estimates with mixed approximations to plane problems of linear elasticity ⋮ Two new error estimates of a fully discrete primal-dual mixed finite element scheme for parabolic equations in any space dimension

Cites Work

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