Inverse spectral problem for the density of a vibrating elastic membrane
From MaRDI portal
Publication:2006241
DOI10.1016/j.camwa.2015.06.019zbMath1443.74217OpenAlexW781176081MaRDI QIDQ2006241
Qin Gao, Zhengda Huang, Xiao-liang Cheng
Publication date: 8 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2015.06.019
Vibrations in dynamical problems in solid mechanics (74H45) Inverse problems in equilibrium solid mechanics (74G75) Inverse problems for PDEs (35R30) Membranes (74K15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiple eigenvalue sensitivity analysis
- Design sensitivity analysis of structural systems
- An \(n\)-dimensional Borg-Levinson theorem
- On the determination of the density of a vibrating string from spectral data
- Multi-dimensional inverse boundary problems by BC-method: Groups of transformations and uniqueness results
- A reconstruction method for a two-dimensional inverse eigenvalue problem
- Inverse spectral problem for a string equation with partial information
- ON THE MODE SHAPES OF THE HELMHOLTZ EQUATION
- A two-dimensional inverse eigenvalue problem
- Impedance Imaging, Inverse Problems, and Harry Potter's Cloak
- The Inverse Sturm-Liouville Problem and the Rayleigh-Ritz Method
- An inverse eigenvalue problem with rotational symmetry
- Optical tomography in medical imaging
- Inverse Eigenvalue Problems
- The inverse eigenvalue problem for a weighted helmholtz equation
- Reconstruction of an Impedance in Two-dimensions from Spectral Data
- On a uniform approximation of the density function of a string equation using eigenvalues and nodal points and some related inverse nodal problems
- On some inverse spectral problems related to the Ambarzumyan problem and the dual string of the string equation
