Solution of the two-dimensional inverse problem of quasistatic elastography with the help of the small parameter method

DOI10.1134/S0965542522050074zbMath1505.74095OpenAlexW4283119102MaRDI QIDQ2149041

Alexander N. Sharov, Nikolai N. Nefedov, Anatoly G. Yagola, Alexander S. Leonov

Publication date: 27 June 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542522050074

zbMATH Keywords

regularizationregular perturbationsmall parameter methodplane linear elastic tissue deformationreal-time cancer diagnosis

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Inverse problems in dynamical solid mechanics (74H75)

Related Items (1)

``Fast solution of the three-dimensional inverse problem of quasi-static elastography with the help of the small parameter method

Cites Work

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• Solution of the inverse elastography problem for parametric classes of inclusions with a posteriori error estimate
• A posteriori error estimates for numerical solutions to inverse problems of elastography
• Solution of inverse problems in elasticity imaging using the adjoint method
• Solution of the three-dimensional inverse elastography problem for parametric classes of inclusions

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