Journal of Shanghai Jiaotong University ›› 2011, Vol. 45 ›› Issue (12): 1857-1862.

• Mathematics • Previous Articles     Next Articles

A Posteriori Error Estimates for Local Discontinuous Galerkin Methods of Linear Elasticity

 CHEN  Yun-Cheng-1, HUANG  Jian-Guo-1, XU  Yi-Feng-2, 3   

  1. (1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China;2. Department of Mathematics, Shanghai Normal University, Shanghai 200234, China;3. Scientific Computing Key Laboratory of Shanghai Universities, Shanghai 200234, China)
  • Received:2010-10-15 Online:2011-12-31 Published:2011-12-31

Abstract: For the local discontinuous Galerkin method of linear elasticity, this paper established a global residual-based a posteriori error estimator of the stress field σ under L2-norm, in the case of meshes without hanging nodes. The reliability and efficiency of the estimator was also discussed.

Key words: discontinuous Galerkin method, linear elasticity, lifting operator, a posteriori error analysis

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