Functional a posteriori estimates of the error in the solutions of plane problems in Cosserat elasticity theory

DOI10.1016/J.JAPPMATHMECH.2014.12.014zbMath1432.74026OpenAlexW2077828382MaRDI QIDQ1789338

M. Ye. Frolov

Publication date: 10 October 2018

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2014.12.014

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (1)

Reliable a posteriori error estimation for Cosserat elasticity in 3D

Cites Work

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• A posteriori estimates for partial differential equations
• Estimates for deviations from exact solutions to plane problems in the Cosserat theory of elasticity
• Linear and quasilinear elliptic equations
• Stress invariance in planar Cosserat elasticity
• Existence, Uniqueness and Stability in Linear Cosserat Elasticity for Weakest Curvature Conditions
• On error estimates and adaptivity in elastoplastic solids: Applications to the numerical simulation of strain localization in classical and Cosserat continua
• A posteriori error estimation for variational problems with uniformly convex functionals
• Application of functional error estimates with mixed approximations to plane problems of linear elasticity
• QuadrilateralH(div) Finite Elements

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