A stabilized mixed finite element method for the biharmonic equation based on biorthogonal systems

DOI10.1016/j.cam.2011.05.005zbMath1226.65095OpenAlexW2076586533WikidataQ59889879 ScholiaQ59889879MaRDI QIDQ633971

Bishnu P. Lamichhane

Publication date: 2 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.05.005

zbMATH Keywords

stabilizationbiharmonic equationmixed finite element methodsaddle point problembiorthogonal systemclamped plateoptimal a priori error estimate

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (13)

Approximation properties of a gradient recovery operator using a biorthogonal system ⋮ A LOCAL PROJECTION STABILIZATION FOR CONVECTION–DIFFUSION–REACTION EQUATIONS USING BIORTHOGONAL SYSTEMS ⋮ A mixed finite element discretisation of thin plate splines based on biorthogonal systems ⋮ A finite element method for a biharmonic equation based on gradient recovery operators ⋮ Improved L² and H¹ error estimates for the Hessian discretization method ⋮ A mixed finite element method for the Poisson problem using a biorthogonal system with <scp>Raviart–Thomas</scp> elements ⋮ A new three-field formulation of the biharmonic problem and its finite element discretization ⋮ \(hp\)-FEM for a stabilized three-field formulation of the biharmonic problem ⋮ Mixed finite element methods for the Poisson equation using biorthogonal and quasi-biorthogonal systems ⋮ A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems ⋮ A \(C^0\) linear finite element method for biharmonic problems ⋮ The Hessian discretisation method for fourth order linear elliptic equations ⋮ Generalized finite integration method with Volterra operator for multi-dimensional biharmonic equations

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