Discontinuous Galerkin Finite Element Method for a Nonlinear Boundary Value Problem

资源类型: 资源大小: 文档分类:数理科学和化学 上传者:崔艳春
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【作者】 Tie ZHANG  Jian-Bao LI 

【摘要】In this paper,we investigate the a priori and a posteriori error estimates for the discontinuous Galerkin finite element approximation to a regularization version of the variational inequality of the second kind.We show the optimal error estimates in the DG-norm(stronger than the H1norm)and the L2norm,respectively.Furthermore,some residual-based a posteriori error estimators are established which provide global upper bounds and local lower bounds on the discretization error.These a posteriori analysis results can be applied to develop the adaptive DG methods.

【刊名】Acta Mathematicae Applicatae Sinica(English Series)