Levenberg-Marquardt method for solving inverse problem of MRE based on the modified stationary Stokes system

DOI10.1088/1361-6420/ac346bOpenAlexW3209033393MaRDI QIDQ5014485

Gen Nakamura, Kenji Shirota, Yu Jiang

Publication date: 8 December 2021

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

Full work available at URL: https://doi.org/10.1088/1361-6420/ac346b

zbMATH Keywords

viscoelasticitymagnetic resonance elastographyinterior measurementmodified stationary Stokes system

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Numerical analysis (65-XX) Miscellaneous topics in partial differential equations (35Rxx) Numerical analysis in abstract spaces (65Jxx)

Uses Software

• FreeFem++
• NLopt

Cites Work

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• Log-elastographic and non-marching full inversion schemes for shear modulus recovery from single frequency elastographic data
• Completeness of representation of solutions for stationary homogeneous isotropic elastic/viscoelastic systems
• Inversion analysis for magnetic resonance elastography
• Linear integral equations

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