A finite element method for a biharmonic equation based on gradient recovery operators

DOI10.1007/s10543-013-0462-0zbMath1314.65150OpenAlexW2021157249MaRDI QIDQ398629

Bishnu P. Lamichhane

Publication date: 15 August 2014

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-013-0462-0

zbMATH Keywords

singular perturbationfinite element methodbiharmonic equationclamped boundary conditionsbiorthogonal systema priory estimategradient recovery operatornonconforming methodStrang's lemma

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (10)

A recovery based linear finite element method for 1D bi-harmonic problems ⋮ A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: a priori and a posteriori analysis ⋮ Improved L² and H¹ error estimates for the Hessian discretization method ⋮ Numerical solution of the cavity scattering problem for flexural waves on thin plates: linear finite element methods ⋮ A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection ⋮ Function, derivative and high-order derivatives recovery methods using the local symmetry projection ⋮ Hessian recovery based finite element methods for the Cahn-Hilliard equation ⋮ A \(C^0\) linear finite element method for biharmonic problems ⋮ The Hessian discretisation method for fourth order linear elliptic equations ⋮ Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models

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