@Article{JCM-32-665, author = {Yifeng Xu, Jianguo Huang and Xuehai Huang}, title = {A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {6}, pages = {665--686}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1405-m4409}, url = {http://global-sci.org/intro/article_detail/jcm/8408.html} }