A Posteriori Error Estimates with Computable Upper Bound for the Nonconforming Rotated Q 1 Finite Element Approximation of the Eigenvalue Problems
2014
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.
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