Reliable a Posteriori Error Estimation for Plane Problems in Cosserat Elasticity

  • Maxim FrolovEmail author
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 103)


Functional type a posteriori error estimates are proposed for approximate solutions to plane problems arising in the Cosserat theory of elasticity. Estimates are reliable under quite general assumptions and are explicitly applicable not only to approximations possessing the Galerkin orthogonality property. For numerical justification of the approach, the lowest order Arnold-Boffi-Falk approximation is implemented.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Applied MathematicsSt. Petersburg State Polytechnical UniversitySt. PetersburgRussia

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