A reduced local C0 discontinuous galerkin method for Kirchhoff plates. Issue 6 (2nd May 2014)

• Record Type: Journal Article
• Authors: Huang, Xuehai; Huang, Jianguo
• Is Part Of: Numerical methods for partial differential equations. Volume 30:Issue 6(2014:Nov.)
• Page Start: 1902
• Page End: 1930
• Publication Date: 2014-05-02
• Subjects: Differential equations, Partial -- Numerical solutions -- Periodicals; 515.353
• DOI: 10.1002/num.21883
• Languages: English
• ISSNs: 0749-159X

Abstract

<abstract abstract-type="main"> <title> <x xml:space="preserve">Abstract</x> </title> <p>We propose and analyze a reduced local <italic>C</italic>⁰ 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</p> </abstract>