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

Jie Liu, Tian Xia and Wei Jiang

Mathematical Problems in Engineering, 2014, vol. 2014, 1-9

Abstract:

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:891278

DOI: 10.1155/2014/891278

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