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Reliable a Posteriori Error Estimation for Plane Problems in Cosserat Elasticity

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Numerical Mathematics and Advanced Applications - ENUMATH 2013

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 103))

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Abstract

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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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, St. Petersburg State Polytechnical University, 29 Politekhnicheskaya st., 195251, St. Petersburg, Russia

    Maxim Frolov

Authors
  1. Maxim Frolov
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Correspondence to Maxim Frolov .

Editor information

Editors and Affiliations

  1. MATHICSE-ANMC, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Assyr Abdulle

  2. SB MATHICSE CMCS, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Simone Deparis

  3. SB MATHICSE ANCHP, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Daniel Kressner

  4. SB MATHICSE CSQI, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Fabio Nobile

  5. SB MATHICSE GR-PI, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Marco Picasso

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Frolov, M. (2015). Reliable a Posteriori Error Estimation for Plane Problems in Cosserat Elasticity. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_22

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