Existence of solution in elastic wave scattering by unbounded rough surfaces

DOI10.1002/mma.304zbMath1019.74020OpenAlexW1964448270MaRDI QIDQ4539446

Tilo Arens

Publication date: 8 July 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.304

zbMATH Keywords

existenceuniquenessintegral equationsboundary integral equation methodtwo-dimensional scatteringrough surfacetime-harmonic wave

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Wave scattering in solid mechanics (74J20) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (16)

Scattering relations for point-generated dyadic fields in two-dimensional linear elasticity ⋮ SCATTERING OF PLANE ELASTIC WAVES BY THREE-DIMENSIONAL DIFFRACTION GRATINGS ⋮ A non-iterative sampling method for inverse elastic wave scattering by rough surfaces ⋮ Elastic scattering from rough surfaces in three dimensions ⋮ A well-posed integral equation formulation for three-dimensional rough surface scattering ⋮ Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method ⋮ The time‐domain scattering by the elastic shell in a two‐layered unbounded structure ⋮ The Acoustic Scattering of a Layered Elastic Shell Medium ⋮ Near-Field Imaging of an Unbounded Elastic Rough Surface with a Direct Imaging Method ⋮ Solvability and spectral properties of integral equations on the real line. II: \(L^p\)-spaces and applications ⋮ An Edge-Based Smoothed Finite Element Method with TBC for the Elastic Wave Scattering by an Obstacle ⋮ Near-field imaging of biperiodic surfaces for elastic waves ⋮ Elastic scattering by unbounded rough surfaces: solvability in weighted Sobolev spaces ⋮ A windowed Green function method for elastic scattering problems on a half-space ⋮ Variational approach to scattering of plane elastic waves by diffraction gratings ⋮ Convergence analysis in near-field imaging for elastic waves

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