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Journal of Scientific Computing

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04-10-2017

A Weak Galerkin Method for the Reissner–Mindlin Plate in Primary Form

Authors: Lin Mu, Junping Wang, Xiu Ye

Published in: Journal of Scientific Computing | Issue 2/2018

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Abstract

A new finite element method is developed for the Reissner–Mindlin equations in its primary form by using the weak Galerkin approach. Like other weak Galerkin finite element methods, this one is highly flexible and robust by allowing the use of discontinuous approximating functions on arbitrary shape of polygons and, at the same time, is parameter independent on its stability and convergence. Error estimates of optimal order in mesh size h are established for the corresponding weak Galerkin approximations. Numerical experiments are conducted for verifying the convergence theory, as well as suggesting some superconvergence and a uniform convergence of the method with respect to the plate thickness.

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Title: A Weak Galerkin Method for the Reissner–Mindlin Plate in Primary Form
Authors: Lin Mu
Junping Wang
Xiu Ye
Publication date: 04-10-2017
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 2/2018
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0564-y

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