A projection-based error analysis of HDG methods for Timoshenko beams

DOI10.1090/S0025-5718-2011-02522-6zbMath1427.74163OpenAlexW2096326183MaRDI QIDQ3117204

Fatih Celiker, Ke Shi, Bernardo Cockburn

Publication date: 17 February 2012

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2011-02522-6

zbMATH Keywords

discontinuous Galerkin methodshybridizationTimoshenko beams

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (13)

The pursuit of a dream, Francisco Javier Sayas and the HDG methods ⋮ To CG or to HDG: a comparative study in 3D ⋮ Locking-free finite element method for a bending moment formulation of Timoshenko beams ⋮ Locking-free optimal discontinuous Galerkin methods for a Naghdi-type arch model ⋮ Static Condensation, Hybridization, and the Devising of the HDG Methods ⋮ Discontinuous Galerkin Methods for Time-Dependent Convection Dominated Problems: Basics, Recent Developments and Comparison with Other Methods ⋮ A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains ⋮ HDG methods for Naghdi arches ⋮ Approximate solution of the Bagley-Torvik equation by hybridizable discontinuous Galerkin methods ⋮ Superconvergent HDG methods for Maxwell's equations via the \(M\)-decomposition ⋮ Superconvergent HDG methods for linear, stationary, third-order equations in one-space dimension ⋮ A class of embedded DG methods for Dirichlet boundary control of convection diffusion PDEs ⋮ Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation

Cites Work

• Unnamed Item
• Hybridizable discontinuous Galerkin methods for Timoshenko beams
• Element-by-element post-processing of discontinuous Galerkin methods for Timoshenko beams
• Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
• A projection-based error analysis of HDG methods
• Locking‐Free Optimal Discontinuous Galerkin Methods for Timoshenko Beams

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