Adaptive Algorithm Based on Functional-Type A Posteriori Error Estimate for Reissner-Mindlin Plates

  • Maxim FrolovEmail author
  • Olga Chistiakova
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 128)


This research is devoted to numerical justification of an adaptive mesh refinement algorithm based on functional-type a posteriori local error indicator for Reissner-Mindlin plates. Four stages of this algorithm (solver, estimator, marker and refiner) and its implementation are discussed. A number of numerical experiments for L-shape and skew Reissner-Mindlin plates is provided for verification and efficiency demonstration. It is also shown that efficiency index for functional-type a posteriori error estimate is stable and has acceptable value. As such a technique can be used with in-house implementation of finite element solver as well as with commercial software packages with closed sources, proposed algorithm may be applicable for engineering practice.



This research is supported by the Grant of the President of the Russian Federation MD-1071.2017.1.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Peter the Great St Petersburg Polytechnic UniversitySt. PetersburgRussia

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