Frequency-explicit stability estimates for time-harmonic elastodynamic problems in nearly incompressible materials
Year: 2024
Type: preprint
Abstract: We consider time-harmonic elastodynamic problems in heterogeneous media.cWe focus on scattering problems in the high-frequency regime and incnearly incompressible media, where the the angular frequency $ω$ and ratio of the Lamé parameters $λ/μ$ may both be large. We derive stability estimates controlling the norm of the solution by the norm of the right-hand side up to a fully-explicit constant. Crucially, under natural assumptions on the domain and coefficients, this constant increases linearly with $ω$ and is uniform in the ratio $λ/μ$.
Source: arXiv (Cornell University)
Authors: Chaumont-Frelet, T., Nicaise, S.
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4392675159