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VEM for the Reissner-Mindlin Plate Based on the MITC Approach: The Element of Degree 2

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Numerical Mathematics and Advanced Applications ENUMATH 2017 (ENUMATH 2017)

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Abstract

We consider the family of Virtual Elements introduced in Chinosi (Numer Methods Partial Differ Equ 34(4):1117–1144, 2018) for the Reissner-Mindlin plate problem. The family is based on the MITC approach of the FEM context. We analyze the element of degree 2 and compare it with the corresponding finite element MITC9. Moreover we propose a new approximation of the load in order to achieve the proper order of convergence in L 2.

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Acknowledgements

This research has a financial support of the Università del Piemonte Orientale.

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Correspondence to Claudia Chinosi .

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Chinosi, C. (2019). VEM for the Reissner-Mindlin Plate Based on the MITC Approach: The Element of Degree 2. In: Radu, F., Kumar, K., Berre, I., Nordbotten, J., Pop, I. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol 126. Springer, Cham. https://doi.org/10.1007/978-3-319-96415-7_47

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