Asymptotic expansion for solution of Maxwell equation in domain with highly oscillating boundary
DOI10.1002/zamm.202200255zbMath1530.35296OpenAlexW4377967087MaRDI QIDQ6142888
Abdessatar Khelifi, Saoussen Boujemaa
Publication date: 4 January 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.202200255
Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Asymptotic expansions of solutions to PDEs (35C20) Electromagnetic theory (general) (78A25) Asymptotic analysis in optics and electromagnetic theory (78M35) Maxwell equations (35Q61)
Cites Work
- Unnamed Item
- Eigenoscillations of an elastic body with a rough surface
- Small perturbation of a surface: full Maxwell's equations
- The boundary-value problem in domains with very rapidly oscillating boundary
- Analytic continuation of Dirichlet-Neumann operators
- Electromagnetic scattering by small dielectric inhomogeneities.
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
- Reconstruction of small inhomogeneities from boundary measurements
- Boundary layer method for solving full Maxwell equations in the presence of an electromagnetic inhomogeneity of small diameter
- Spectral Stiff Problems in Domains with a Strongly Oscillating Boundary
- The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary
- Asymptotic expansions for the voltage potentials with two-dimensional and three-dimensional thin interfaces
- Reconstructing small perturbations of scatterers from electric or acoustic far‐field measurements
- Determination of small amplitude perturbations for the electric permittivity from partial dynamic boundary measurements
- Conductivity interface problems. Part I: Small perturbations of an interface
- Recovery of small perturbations of an interface for an elliptic inverse problem via linearization
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
- An asymptotic expansion for perturbations in the displacement field due to the presence of thin interfaces
- Asymptotic expansions for currents caused by small interface changes of an electromagnetic inclusion
- Boundary voltage perturbations resulting from small surface changes of a conductivity inclusion
- Asymptotics for eigenelements of Laplacian in domain with oscillating boundary: multiple eigenvalues
- Inverse acoustic and electromagnetic scattering theory
- Acoustic and electromagnetic equations. Integral representations for harmonic problems
This page was built for publication: Asymptotic expansion for solution of Maxwell equation in domain with highly oscillating boundary
