A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

Authors

  • Yifeng Xu, Jianguo Huang & Xuehai Huang

DOI:

https://doi.org/10.4208/jcm.1405-m4409

Keywords:

Kirchhoff bending plate, Discontinuous Galerkin method, A posteriori error analysis.

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.

Downloads

Published

2021-07-01

Abstract View

  • 37281

Pdf View

  • 4376

Issue

Vol. 32 No. 6 (2014)

Section

Articles

How to Cite

A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems. (2021). Journal of Computational Mathematics, 32(6), 665-686. https://doi.org/10.4208/jcm.1405-m4409