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An approximation of eigenvalues of Laplace operator on a nonconvex polygon is considered. The \(O(h^{4/3})\) rate of convergence is proved under the assumption that all boundary segments are parallel to the coordinate axes.
Lyashenko, I. N. +2 more
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Lyashenko, I. N. +2 more
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Variational Analysis of Approximate Defective Eigenvalues
Springer Proceedings in Mathematics and Statistics, 2022Rafikul Alam
exaly
Eigenvalues of anharmonic oscillators from a variational functional method
Journal of Mathematical Physics, 1984FRANCISCO Marcelo Fernández +2 more
exaly
Asymptotic behavior of the variational eigenvalues for semilinear sturm-liouville problems
Nonlinear Analysis: Theory, Methods & Applications, 1992TETSUTARŌ Shibata
exaly
Unconstrained Variational Principles for Eigenvalues of Real Symmetric Matrices
SIAM Journal on Mathematical Analysis, 1989Giles Auchmuty
exaly
On the Dependence on p of the Variational Eigenvalues of the p-Laplace Operator
Potential Analysis, 2015Marco Marzocchi, Marco Degiovanni
exaly

