Journal article
A new C0 discontinuous Galerkin method for Kirchhoff plates
Computer methods in applied mechanics and engineering, Vol.199(23-24), pp.1446-1454
2010
DOI: 10.1016/j.cma.2009.12.012
Abstract
A general framework of constructing C 0 discontinuous Galerkin (CDG) methods is developed for solving the Kirchhoff plate bending problem, following some ideas in (Castillo et al., 2000) [10] and (Cockburn, 2003) [12] . The numerical traces are determined based on a discrete stability identity, which lead to a class of stable CDG methods. A stable CDG method, called the LCDG method, is particularly interesting in our study. It can be viewed as an extension to fourth-order problems of the LDG method studied in (Castillo et al., 2000) [10] and (Cockburn, 2003) [12] . For this method, optimal order error estimates in certain broken energy norm and H 1 -norm are established. Some numerical results are reported, confirming the theoretical convergence orders.
Details
- Title: Subtitle
- A new C0 discontinuous Galerkin method for Kirchhoff plates
- Creators
- Jianguo HuangXuehai HuangWeimin Han
- Resource Type
- Journal article
- Publication Details
- Computer methods in applied mechanics and engineering, Vol.199(23-24), pp.1446-1454
- DOI
- 10.1016/j.cma.2009.12.012
- ISSN
- 0045-7825
- eISSN
- 1879-2138
- Language
- English
- Date published
- 2010
- Academic Unit
- Mathematics
- Record Identifier
- 9983986093702771
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