Application of a combined continuous-discontinuous Galerkin finite element method for the solution of the Girkmann problem

DOI10.1016/J.CAMWA.2013.03.015zbMath1391.74243OpenAlexW2055436665MaRDI QIDQ2629420

João P. C. Gonçalves, Agnaldo M. Farias, Sônia M. Gomes, Philippe Remy Bernard Devloo

Publication date: 6 July 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.03.015

zbMATH Keywords

finite element methodverification and validationstress recoverycontinuous-discontinuous Galerkin formulationGirkmann problem

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Two-dimensional \(hp\) adaptive finite element spaces for mixed formulations ⋮ Benchmark Computations of Stresses in a Spherical Dome with Shell Finite Elements

Uses Software

• PZ

Cites Work

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• The dome and the ring: verification of an old mathematical model for the design of a stiffened shell roof
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• Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity
• Coupled discontinuous and continuous Galerkin finite element methods for the depth-integrated shallow water equations.
• Coupling of continuous and discontinuous Galerkin methods for transport problems
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains

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