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

By Jie Liu, Tian Xia, Wei Jiang. 2014

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This paper discusses the nonconforming rotated 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.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/ecbe9b10dd66eeea86ecabf93a14297e7fca042d