Proximal Methods for the Elastography Inverse Problem of Tumor Identification Using an Equation Error Approach

DOI10.1007/978-3-319-14490-0_7zbMath1319.35297OpenAlexW1136221010MaRDI QIDQ5253302

Mark S. Gockenbach, Christiane Tammer, Baasansuren Jadamba, Akhtar A. Khan, Brian C. Winkler

Publication date: 5 June 2015

Published in: Advances in Mechanics and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-14490-0_7

zbMATH Keywords

regularizationvariational inequalityproximal point methodtumor identificationelasticity imagingelastography inverse problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

On convex modified output least-squares for elliptic inverse problems: stability, regularization, applications, and numerics ⋮ Iterative Methods for the Elastography Inverse Problem of Locating Tumors ⋮ Convergence rates for nonlinear inverse problems of parameter identification using Bregman distances ⋮ A convex inversion framework for identifying parameters in saddle point problems with applications to inverse incompressible elasticity ⋮ Analyzing the role of the Inf-Sup condition for parameter identification in saddle point problems with application in elasticity imaging ⋮ Contingent derivatives and regularization for noncoercive inverse problems

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