Local error estimation for dimensional reduction: application to special geometries

DOI10.1002/cnm.676zbMath1048.65101OpenAlexW2146531299MaRDI QIDQ4736802

Nilesh Billade, Kumar S. Vemaganti

Publication date: 6 August 2004

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.676

zbMATH Keywords

finite elementsnumerical examplesdimensional reductionelliptic boundary value problemslocal error estimatesspherical shellscircular archesmodelling error

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) Shells (74K25) 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 (1)

Hierarchical models of thin elastic structures: overview and recent advances in error estimation and adaptivity

Cites Work

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• Computable error bounds for some simple dimensionally reduced models on thin domains
• On a Dimensional Reduction Method. III. A Posteriori Error Estimation and an Adaptive Approach
• Construction and Analysis of Optimal Hierarchic Models of Boundary Value Problems on Thin Circular and Spherical Geometries
• A Posteriori Error Estimation for Hierarchic Models of Elliptic Boundary Value Problems on Thin Domains
• Goal-oriented error estimation and adaptivity for the finite element method

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