| Issue |
ESAIM: M2AN
Volume 59, Number 4, July-August 2025
|
|
|---|---|---|
| Page(s) | 2005 - 2019 | |
| DOI | https://doi.org/10.1051/m2an/2025047 | |
| Published online | 17 July 2025 | |
Residual-based a posteriori error analysis of a Taylor–Hood discretization of the Reissner–Mindlin plate
1
Institut für Mathematik, Universit¨at Jena, 07743 Jena, Germany
2
Mathematisches Institut, Universit¨at Leipzig, PF 10 09 20, 04009 Leipzig, Germany
* Corresponding author: dietmar.gallistl@uni-jena.de
Received:
17
March
2025
Accepted:
10
June
2025
For a discretization of the Reissner–Mindlin plate model proposed by the authors in [SIAM J. Numer. Anal. 59 (2021) 1195–1217], a residual-based a posteriori error estimator is proven to be reliable and efficient. The estimates are robust in the plate thickness parameter. Numerical experiments assess the behaviour of the individual error estimator components and the application to adaptive mesh refinement.
Mathematics Subject Classification: 65N12 / 65N15 / 65N30 / 74K20
Key words: A posteriori / Reissner–Mindlin / adaptivity / Taylor–Hood
© The authors. Published by EDP Sciences, SMAI 2025
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