TY - JOUR
T1 - A Discontinuous Galerkin Method with Minimal Dissipation for a Finite-Strain Plate
AU - Kang , Qiao
AU - Xu , Yan
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1027
EP - 1063
PY - 2021
DA - 2021/06
SN - 13
DO - http://doi.org/10.4208/aamm.OA-2020-0388
UR - https://global-sci.org/intro/article_detail/aamm/19253.html
KW - Finite-strain, static bending problem, discontinuous Galerkin methods, numerical fluxes, error estimates.
AB - <p style="text-align: justify;">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.</p>