Impedance Eigenvalues in Linear Elasticity
DOI10.1137/21M1412955zbMath1480.35406arXiv2103.14097OpenAlexW3214465389MaRDI QIDQ5018868
Virginia Selgas, Michael Levitin, Peter B. Monk
Publication date: 24 December 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.14097
linear elasticityfluid-solid interactioninverse scatteringDirichlet-to-Neumann mapimpedance eigenvalues
General topics in linear spectral theory for PDEs (35P05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
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Cites Work
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- Qualitative methods in inverse scattering theory. An introduction
- An inverse problem for fluid-solid interaction
- Some inequalities between Dirichlet and Neumann eigenvalues
- Spectral problems for the Lamé system with spectral parameter in boundary conditions on smooth or nonsmooth boundary.
- Pseudo differential operators
- Friedlander's eigenvalue inequalities and the Dirichlet-to-Neumann semigroup
- An inverse fluid--solid interaction problem
- Near field sampling type methods for the inverse fluid-solid interaction problem
- Stekloff Eigenvalues in Inverse Scattering
- A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium
- A simple method of calculating eigenvalues and resonances in domains with infinite regular ends
- A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium: II
- Electromagnetic Stekloff Eigenvalues in Inverse Scattering
- Modified transmission eigenvalues in inverse scattering theory
- Fluid–Solid Interaction: Acoustic Scattering by a Smooth Elastic Obstacle
- Eigenvalues of the Far Field Operator for the Helmholtz Equation in an Absorbing Medium
- Inverse Acoustic and Electromagnetic Scattering Theory