Year: 2021
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 5 : pp. 1027–1063
Abstract
In this paper, we develop and analyze a discontinuous Galerkin (DG) method with minimal dissipation for the static bending problem of a finite-strain plate equation. The equations are deduced from a three-dimensional field equation. So the coupling of the equations and the mixed derivative terms are the barriers during developing discretization schemes. The error estimates of the scheme are proved in detail. Numerical experiments in different circumstances are presented to demonstrate the capabilities of the method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2020-0388
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 5 : pp. 1027–1063
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 37
Keywords: Finite-strain static bending problem discontinuous Galerkin methods numerical fluxes error estimates.