https://orcid.org/0000-0002-2797-1646
References
- Amirat Y, Chechkin GA, Gadyl'Shin RR. Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues. Appl Anal. 2007;86(7):873–897. doi:10.1080/00036810701461238
- Korikov DV. Asymptotics of Maxwell system eigenvalues in a domain with small cavities. Algebra I Analiz. 2019;31(1):18–71.
- Kozlov V, Nazarov S. The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary. St Petersbg Math J. 2011;22(6):941–983. doi:10.1090/S1061-0022-2011-01178-1
- Nazarov SA. Eigenoscillations of an elastic body with rough surface. J Appl Mech Tech Phys. 2007;48(6):861–870. doi:10.1007/s10808-007-0110-z
- Ammari H, Volkov D. Asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations due to the presence of imperfections of small diameter. Asymptot Anal. 2002;30(3):331–350.
- Osborn JE. Spectral approximation for compact operators. Math Comput. 1975;29(131):712–725. doi:10.1090/mcom/1975-29-131
- Monk P. Finite element methods for Maxwell's equations. Numerical Mathematics and Scientific Computation. New York: Oxford University Press; 2003.
- Ammari H, et al. Reconstruction of small interface changes of an inclusion from modal measurements II: The elastic case. J Math Pures Appl. 2010;94(3):322–339. doi:10.1016/j.matpur.2010.02.001
- Daveau C, Khelifi A, Balloumi I. Asymptotic behaviors for eigenvalues and eigenfunctions associated to Stokes operator in the presence of small boundary perturbations. Math Phys, Anal Geom. 2017;20(2):13. doi:10.1007/s11040-017-9243-3
- Khelifi S, Saidani A. Asymptotic behavior of eigenvalues of the Maxwell system in the presence of small changes in the interface of an inclusion. Commun Pure Appl Anal. 2022;21(9):2891–2909. doi:10.3934/cpaa.2022080
- Bensoussan A, Lions J-L, Papanicolaou G. Asymptotic analysis for periodic structures. 2011. (American Mathematical Soc; Vol. 374).