Logarithmic stability in determination of a 3D viscoelastic coefficient and a numerical example

DOI10.1088/0266-5611/26/9/095006zbMath1200.35334OpenAlexW2157145609MaRDI QIDQ4933073

Maya de Buhan, Axel Osses

Publication date: 7 October 2010

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/144678

zbMATH Keywords

inverse problemsviscoelasticityspectral methodstability estimateCarleman estiamte

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Viscoelastic fluids (76A10) Spectral methods applied to problems in fluid mechanics (76M22) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (11)

Numerical resolution of an electromagnetic inverse medium problem at fixed frequency ⋮ Adaptive Spectral Inversion for inverse medium problems ⋮ Adaptive eigenspace method for inverse scattering problems in the frequency domain ⋮ Adaptive eigenspace for multi-parameter inverse scattering problems ⋮ Inverse Problems for a Compressible Fluid System ⋮ Adaptive spectral decompositions for inverse medium problems ⋮ How to solve inverse scattering problems without knowing the source term: a three-step strategy ⋮ Carleman estimate and an inverse source problem for the Kelvin–Voigt model for viscoelasticity ⋮ Carleman Estimate for Linear Viscoelasticity Equations and an Inverse Source Problem ⋮ Stability of an inverse problem for the discrete wave equation and convergence results ⋮ Error estimates for adaptive spectral decompositions

This page was built for publication: Logarithmic stability in determination of a 3D viscoelastic coefficient and a numerical example