Some geometrical results and estimates for quadrilateral finite elements

DOI10.1016/0045-7825(94)00718-3zbMath0846.65058OpenAlexW2012456835MaRDI QIDQ1913275

K. Arunakirinathar, Reddy, B. Daya

Publication date: 26 September 1996

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(94)00718-3

zbMATH Keywords

error estimatesfinite elementquadrilateral

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)

Related Items

Numerical integration with Taylor truncations for the quadrilateral and hexahedral finite elements, Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995), On the Equivalent of Mixed Element Formulations and the Concept of Reduced Integration in Large Deformation Problems, The equivalent parallelogram and parallelepiped, and their application to stabilized finite elements in two and three dimensions., Quadrilateral mesh, Error estimates and adaptive finite element methods, On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation, A new stabilization technique for finite elements in non-linear elasticity, Further results for enhanced strain methods with isoparametric elements, Quadrilateral mesh revisited.

Cites Work

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• Interpolation theory over curved elements, with applications to finite element methods
• New strategy for assumed stresses for 4‐node hybrid stress membrane element