DISCONTINUOUS GALERKIN METHODS FOR SOLVING ELLIPTIC VARIATIONAL INEQUALITIES

作者：Wang Fei^*; Han Weimin; Cheng Xiao Liang

来源：SIAM Journal on Numerical Analysis, 2010, 48(2): 708-733.

DOI：10.1137/09075891X

• variational inequalities
• discontinuous Galerkin method
• error analysis

We study discontinuous Galerkin methods for solving elliptic variational inequalities of both the first and second kinds. Analysis of numerous discontinuous Galerkin schemes for elliptic boundary value problems is extended to the variational inequalities. We establish a priori error estimates for the discontinuous Galerkin methods, which reach optimal order for linear elements. Results from some numerical examples are reported.

• 出版日期2010
• 单位浙江大学