EQ(1)(rot) nonconforming finite element approximation to Signorini problem

作者：Shi DongYang^*; Xu Chao

来源：Science China Mathematics, 2013, 56(6): 1301-1311.

DOI：10.1007/s11425-013-4615-z

• Signorini problem
• nonconforming finite element
• superconvergence
• error estimate

In this paper, we apply EQ (1) (rot) nonconforming finite element to approximate Signorini problem. If the exact solution , the error estimate of order O(h) about the broken energy norm is obtained for quadrilateral meshes satisfying regularity assumption and bi-section condition. Furthermore, the superconvergence results of order are derived for rectangular meshes. Numerical results are presented to confirm the considered theory.

• 出版日期2013-6
• 单位洛阳理工学院; 郑州大学