TY - JOUR
T1 - A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems
AU - Yifeng Xu, Jianguo Huang & Xuehai Huang
JO - Journal of Computational Mathematics
VL - 6
SP - 665
EP - 686
PY - 2014
DA - 2014/12
SN - 32
DO - http://doi.org/10.4208/jcm.1405-m4409
UR - https://global-sci.org/intro/article_detail/jcm/8408.html
KW - Kirchhoff bending plate, Discontinuous Galerkin method, A posteriori error
analysis.
AB - <p style="text-align: justify;">We derive some residual-type a posteriori error estimates for the local $C^0$ discontinuous Galerkin (LCDG) approximations ([31]) of the Kirchhoff bending plate clamped on the boundary. The estimator is both reliable and efficient with respect to the moment-field approximation error in an energy norm. Some numerical experiments are reported to demonstrate theoretical results.</p>