A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q(1) Finite Element Approximation of the Eigenvalue Problems

作者：Liu, Jie^*; Xia, Tian; Jiang, Wei

来源：Mathematical Problems in Engineering, 2014, 2014: 891278.

DOI：10.1155/2014/891278

This paper discusses the nonconforming rotated Q(1) finite element computable upper bound a posteriori error estimate of the boundary value problem established by M. Ainsworth and obtains efficient computable upper bound a posteriori error indicators for the eigenvalue problem associated with the boundary value problem. We extend the a posteriori error estimate to the Steklov eigenvalue problem and also derive efficient computable upper bound a posteriori error indicators. Finally, through numerical experiments, we verify the validity of the a posteriori error estimate of the boundary value problem; meanwhile, the numerical results show that the a posteriori error indicators of the eigenvalue problem and the Steklov eigenvalue problem are effective.

• 出版日期2014
• 单位贵州财经大学; 厦门大学