A nonconforming scheme to solve the parabolic problem

作者：Song Shicang; Sun Ming^*; Jiang Liying

来源：Applied Mathematics and Computation, 2015, 265: 108-119.

DOI：10.1016/j.amc.2015.04.089

• Wilson nonconforming element
• Parabolic problem
• Superconvergence
• Nonconforming semi-discrete Scheme
• Discontinuous Galerkin method

The convergence order O(h(2)) of the Wilson nonconforming element has been derived by the superconvergence methods so far. In this paper, a nonconforming semi discrete scheme is derived by the discontinuous Galerkin method when using the Wilson element approximation of the parabolic problem. In the new scheme, the penalty parameter is accurately estimated and the consistency error vanishes. Therefore, the error estimate can only be determined by the interpolation error of which the convergence order is O(h(2)).

• 出版日期2015-8-15
• 单位郑州大学