Elastic scattering from rough surfaces in three dimensions
From MaRDI portal
Publication:2181264
DOI10.1016/j.jde.2020.03.022zbMath1444.35121arXiv1907.12426OpenAlexW3013905152MaRDI QIDQ2181264
Peijun Li, Yue Zhao, Guanghui Hu
Publication date: 18 May 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.12426
variational formulationscattering problemGreen's tensorelastic wave equationradiation conditionlocal perturbationrigid rough surface
Variational methods applied to PDEs (35A15) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Helmholtz equation in a locally perturbed half-space with non-absorbing boundary
- Direct and inverse elastic scattering from a locally perturbed rough surface
- Analysis of electromagnetic scattering from an overfilled cavity in the ground plane
- Coupling of finite element and boundary integral methods for electromagnetic scattering in a two-layered medium
- Uniqueness for Elastic Wave Scattering by Rough Surfaces
- SCATTERING OF PLANE ELASTIC WAVES BY THREE-DIMENSIONAL DIFFRACTION GRATINGS
- Maxwell's equations in an unbounded structure
- The Outgoing Time-Harmonic Elastic Wave in a Half-Plane with Free Boundary
- Variational approach to scattering of plane elastic waves by diffraction gratings
- Electromagnetic Wave Scattering from Rough Penetrable Layers
- Radiation Conditions for Rough Surfaces in Linear Elasticity
- A well-posed integral equation formulation for three-dimensional rough surface scattering
- Scattering of elastic waves in a perturbed isotropic half space with a free boundary. The limiting absorption principle
- A Uniqueness Result for Scattering by Infinite Rough Surfaces
- Acoustic Scattering by an Inhomogeneous Layer on a Rigid Plate
- Scattering of Electromagnetic Waves by Rough Interfaces and Inhomogeneous Layers
- An Inverse Problem in Periodic Diffractive Optics: Reconstruction of Lipschitz Grating Profiles
- Existence of solution in elastic wave scattering by unbounded rough surfaces
- An overfilled cavity problem for Maxwell's equations
- A Survey of Open Cavity Scattering Problems
- Time-Harmonic Acoustic Scattering from Locally Perturbed Half-Planes
- Scattering by Rough Surfaces: the Dirichlet Problem for the Helmholtz Equation in a Non-locally Perturbed Half-plane
- Elastic Scattering by Unbounded Rough Surfaces
- Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces
- Variational Approach in Weighted Sobolev Spaces to Scattering by Unbounded Rough Surfaces
- Time-Harmonic Acoustic Scattering from a Nonlocally Perturbed Trapezoidal Surface
- SHARP REGULARITY COEFFICIENT ESTIMATES FOR COMPLEX-VALUED ACOUSTIC AND ELASTIC HELMHOLTZ EQUATIONS
- Existence, Uniqueness, and Variational Methods for Scattering by Unbounded Rough Surfaces
This page was built for publication: Elastic scattering from rough surfaces in three dimensions