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- Title
A reduced local C<sup>0</sup> discontinuous galerkin method for Kirchhoff plates.
- Authors
Huang, Xuehai; Huang, Jianguo
- Abstract
We propose and analyze a reduced local C0 discontinuous Galerkin (reduced LCDG) method with minimal penalization for Kirchhoff plate bending problems. The resulting linear system of the method can be solved efficiently by Gaussian elimination. Based on the key observation that the reduced LCDG method can be viewed as the localization of Hellan-Herrmann-Johnson method, we are inspired to use the techniques for dealing with the latter method to derive the well-posedness and a priori error estimates of the reduced LCDG method. With the help of Zienkiewicz-Guzmán-Neilan element space, the a posteriori error analysis is also developed. Some numerical results are provided to demonstrate the theoretical estimates.© 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1902-1930, 2014
- Subjects
GALERKIN methods; LAPLACIAN matrices; ERRORS; STRUCTURAL plates; PARTIAL differential equations
- Publication
Numerical Methods for Partial Differential Equations, 2014, Vol 30, Issue 6, p1902
- ISSN
0749-159X
- Publication type
Article
- DOI
10.1002/num.21883