A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem

作者：Gudi Thirupathi; Porwal Kamana^*

来源：Journal of Computational and Applied Mathematics, 2016, 292: 257-278.

DOI：10.1016/j.cam.2015.07.008

• Finite element
• Discontinuous Galerkin
• A posteriori error estimate
• Signorini problem
• Variational inequalities
• Lagrange multiplier

A reliable and efficient a posteriori error estimator is derived for a class of discontinuous Galerkin (DG) methods for the Signorini problem. A common property shared by many DG methods leads to a unified error analysis with the help of a constraint preserving enriching map. The error estimator of DG methods is comparable with the error estimator of the conforming methods. Numerical experiments illustrate the performance of the error estimator.

• 出版日期2016-1-15