Error estimates for isoparametric mixed finite element solution of 4th order elliptic problems with variable coefficients

DOI10.1007/s00466-002-0308-0zbMath1006.65123OpenAlexW2040336349MaRDI QIDQ699655

Neela Nataraj, Pulin Kumar Bhattacharyya

Publication date: 25 September 2002

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-002-0308-0

zbMATH Keywords

error estimates numerical experiments plate bending mixed finite element fourth-order elliptic problems isoparametric finite element

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

Isoparametric mixed finite element approximation of eigenvalues and eigenvectors of 4th order eigenvalue problems with variable coefficients ⋮ Performance of a parallel mixed finite element implementation for fourth order clamped anisotropic plate bending problems in distributed memory environments ⋮ Some \(C^0\)-continuous mixed formulations for general dipolar linear gradient elasticity boundary value problems and the associated energy theorems ⋮ A second‐order isoparametric element method to solve plane linear elastic problem ⋮ Isoparametric \(C ^{0}\) interior penalty methods for plate bending problems on smooth domains ⋮ Mixed finite element formulation for the general anti-plane shear problem, including mode III crack computations, in the framework of dipolar linear gradient elasticity

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