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Volume 32, Issue 6
A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems

Yifeng Xu, Jianguo Huang & Xuehai Huang

DOI: 10.4208/jcm.1405-m4409

J. Comp. Math., 32 (2014), pp. 665-686.

Published online: 2014-12

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

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

  • AMS Subject Headings

65N15, 65N30.

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
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 -

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.

Yifeng Xu, Jianguo Huang and Xuehai Huang. (2014). A Posteriori Error Estimates for Local $C^0$ Discontinuous Galerkin Methods for Kirchhoff Plate Bending Problems. Journal of Computational Mathematics. 32 (6). 665-686. doi:10.4208/jcm.1405-m4409
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