A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems
Year: 2014
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 6 : pp. 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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1405-m4409
Journal of Computational Mathematics, Vol. 32 (2014), Iss. 6 : pp. 665–686
Published online: 2014-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Kirchhoff bending plate Discontinuous Galerkin method A posteriori error analysis.