A note on the existence and uniqueness of solutions of frequency domain elastic wave problems: a priori estimates in \(H^1\)

DOI10.1016/j.jmaa.2008.04.028zbMath1146.35323OpenAlexW2011588941MaRDI QIDQ931009

James H. Bramble, Joseph E. Pasciak

Publication date: 24 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.028

zbMATH Keywords

Maxwell's equationsHelmholtz equationnonlocal boundary conditiondiv-curl systemsKupradze-Sommerfeld radiation conditionPML layertime-harmonic acoustic and electromagnetic scattering

Mathematics Subject Classification ID

Related Items (10)

Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem ⋮ Direct and inverse elastic scattering from anisotropic media ⋮ Fully scalable solver for frequency-domain visco-elastic wave equations in 3D heterogeneous media: a controllability approach ⋮ Recovering source location, polarization, and shape of obstacle from elastic scattering data ⋮ Application of neural networks to inverse elastic scattering problems with near-field measurements ⋮ The half-space matching method for elastodynamic scattering problems in unbounded domains ⋮ Refined instability estimates for some inverse problems ⋮ Convergence of the PML method for elastic wave scattering problems ⋮ Stability for the inverse source problems in elastic and electromagnetic waves ⋮ On the Characterization of Nonradiating Sources for the Elastic Waves in Anisotropic Inhomogeneous Media

Cites Work

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• A finite element method for approximating the time-harmonic Maxwell equations
• Inverse acoustic and electromagnetic scattering theory.
• Dirichlet-to-Neumann map for three-dimensional elastic waves
• Espaces d'interpolation et théorème de Soboleff
• Analysis of a finite PML approximation to the three dimensional elastic wave scattering problem
• Uniqueness theorems in inverse obstacle scattering of elastic waves
• A new approximation technique for div-curl systems

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