TY - JOUR
T1 - A Posteriori Error Estimator for Spectral Approximations of Completely Continuous Operators
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 361
EP - 370
PY - 2006
DA - 2006/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/907.html
KW - completely continuous operators, projection method, eigenvalues, a posteriori error estimates.
AB - <p style="text-align: justify;">In this paper, we study numerical approximations of
eigenvalues when using projection method for spectral approximations of
completely continuous operators. We improve the theory depending on the
ascent of $T - \mu$ and provide a new approach for error estimate, which
depends only on the ascent of $T_h - \mu_h$. Applying this estimator to
the integral operator eigenvalue problems, we obtain asymptotically
exact indicators. Numerical experiments are provided to support our
theoretical conclusions.</p>