On the combined effect of boundary approximation and numerical integration on mixed finite element solution of 4th order elliptic problems with variable coefficients

DOI10.1051/m2an:1999165zbMath0942.65133OpenAlexW2024336279MaRDI QIDQ4702148

Neela Nataraj, Pulin Kumar Bhattacharyya

Publication date: 3 August 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197499

zbMATH Keywords

mixed finite element methods error bounds fourth-order elliptic problems

Mathematics Subject Classification ID

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 (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 ⋮ Finite-Element Domain Approximation for Maxwell Variational Problems on Curved Domains ⋮ The effect of quadrature rules on finite element solutions of Maxwell variational problems. Consistency estimates on meshes with straight and curved elements ⋮ An isoparametric mixed finite element method for approximating a class of fourth-order elliptic problem ⋮ On the existence of weak solutions of anisotropic generally restrained plates

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