Copyright © 2010 Yuncheng Chen et al. This is an open access article distributed under the
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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 -norm, -norm, and a certain broken energy norm are obtained. Some numerical results are provided to confirm the convergence theory established.