Convergence analysis in near-field imaging for elastic waves
DOI10.1080/00036811.2015.1089238zbMath1457.65170OpenAlexW1745895095MaRDI QIDQ2832340
Peijun Li, Yuliang Wang, Yue Zhao
Publication date: 11 November 2016
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2015.1089238
Linear elasticity with initial stresses (74B10) Wave scattering in solid mechanics (74J20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Inverse problems for waves in solid mechanics (74J25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- Reflection and transmission of elastic waves by the spatially periodic interface between two solids (theory of the integral-equation method)
- Near-field imaging of the surface displacement on an infinite ground plane
- Near-field imaging of obstacles
- Uniqueness for Elastic Wave Scattering by Rough Surfaces
- On the uniqueness of the inverse elastic scattering problem for periodic structures
- Near-Field Imaging of Infinite Rough Surfaces in Dielectric Media
- SCATTERING OF PLANE ELASTIC WAVES BY THREE-DIMENSIONAL DIFFRACTION GRATINGS
- Imaging of Local Surface Displacement on an Infinite Ground Plane: The Multiple Frequency Case
- Convergence analysis in near-field imaging
- Elastic Wave Propagation in a Semi-Infinite Solid Medium
- Elastodynamic diffraction by a periodic rough surface (stress-free boundary)
- Existence of solution in elastic wave scattering by unbounded rough surfaces
- An Optimization Method in Inverse Elastic Scattering for One-Dimensional Grating Profiles
- Analysis of the scattering by an unbounded rough surface
- Elastic Scattering by Unbounded Rough Surfaces
- Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces
- Inverse elastic surface scattering with near-field data
- Near-Field Imaging of Interior Cavities
- The factorization method for inverse elastic scattering from periodic structures
- Near-Field Imaging of Infinite Rough Surfaces
- A new integral equation formulation for the scattering of plane elastic waves by diffraction gratings
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