On the Local Discontinuous Galerkin Method for Linear Elasticity
Joint Authors
Huang, Jianguo
Huang, Xuehai
Xu, Yifeng
Chen, Yuncheng
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-07-12
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
Following Castillo et al.
(2000) and Cockburn (2003), a general framework of constructing discontinuous Galerkin (DG) methods is developed for solving the linear elasticity problem.
The numerical traces are determined in view of a discrete stability identity, leading to a class of stable DG methods.
A particular method, called the LDG method for linear elasticity, is studied in depth, which can be viewed as an extension of the LDG method discussed by Castillo et al.
(2000) and Cockburn (2003).
The error bounds in L2-norm, H1-norm, and a certain broken energy norm are obtained.
Some numerical results are provided to confirm the convergence theory established.
American Psychological Association (APA)
Chen, Yuncheng& Huang, Jianguo& Huang, Xuehai& Xu, Yifeng. 2010. On the Local Discontinuous Galerkin Method for Linear Elasticity. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-496532
Modern Language Association (MLA)
Chen, Yuncheng…[et al.]. On the Local Discontinuous Galerkin Method for Linear Elasticity. Mathematical Problems in Engineering No. 2010 (2010), pp.1-20.
https://search.emarefa.net/detail/BIM-496532
American Medical Association (AMA)
Chen, Yuncheng& Huang, Jianguo& Huang, Xuehai& Xu, Yifeng. On the Local Discontinuous Galerkin Method for Linear Elasticity. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-20.
https://search.emarefa.net/detail/BIM-496532
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496532
