Virtual Elements for the Reissner-Mindlin plate problem

Claudia Chinosi

doi:10.1002/num.22248

Virtual Elements for the Reissner-Mindlin plate problem

Claudia Chinosi

Research output: Contribution to journal › Article › peer-review

Abstract

In this work, we present a virtual element method for the approximation of the plate bending problem in the Reissner-Mindlin formulation. The proposed method follows the MITC approach of the FEM context. We construct a family of VEM spaces with arbitrary degree of accuracy that satisfies the conditions of the MITC philosophy. We perform some numerical tests which allow us to assess the convergence and the robustness of the method.

Original language	English
Pages (from-to)	1117-1144
Number of pages	28
Journal	Numerical Methods for Partial Differential Equations
Volume	34
Issue number	4
DOIs	https://doi.org/10.1002/num.22248
Publication status	Published - Jul 2018
Externally published	Yes

Keywords

Reissner-Mindlin plates
mixed interpolation of tensorial components
polygonal meshes
virtual elements

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10.1002/num.22248

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title = "Virtual Elements for the Reissner-Mindlin plate problem",

abstract = "In this work, we present a virtual element method for the approximation of the plate bending problem in the Reissner-Mindlin formulation. The proposed method follows the MITC approach of the FEM context. We construct a family of VEM spaces with arbitrary degree of accuracy that satisfies the conditions of the MITC philosophy. We perform some numerical tests which allow us to assess the convergence and the robustness of the method.",

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note = "Publisher Copyright: {\textcopyright} 2018 Wiley Periodicals, Inc.",

year = "2018",

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AB - In this work, we present a virtual element method for the approximation of the plate bending problem in the Reissner-Mindlin formulation. The proposed method follows the MITC approach of the FEM context. We construct a family of VEM spaces with arbitrary degree of accuracy that satisfies the conditions of the MITC philosophy. We perform some numerical tests which allow us to assess the convergence and the robustness of the method.

KW - Reissner-Mindlin plates

KW - mixed interpolation of tensorial components

KW - polygonal meshes

KW - virtual elements

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DO - 10.1002/num.22248

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JO - Numerical Methods for Partial Differential Equations

JF - Numerical Methods for Partial Differential Equations

IS - 4

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Virtual Elements for the Reissner-Mindlin plate problem

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