"Proximal methods for the elastography inverse problem of tumor identif" by Mark Gockenbach, Baasansuren Jadamba et al.
 

Proximal methods for the elastography inverse problem of tumor identification using an equation error approach

Document Type

Book Chapter

Publication Date

2-25-2015

Abstract

In this chapter, we study a nonlinear inverse problem in linear elasticity relating to tumor identification by an equation error formulation. This approach leads to a variational inequality as a necessary and sufficient optimality condition. We give complete convergence analysis for the proposed equation error method. Since the considered problem is highly ill-posed, we develop a stable computational framework by employing a variety of proximal point methods and compare their performance with the more commonly used Tikhonov regularization.

Publisher's Statement

© Springer International Publishing Switzerland 2015. Publisher's version of record: https://doi.org/10.1007/978-3-319-14490-0_7

Publication Title

Advances in Variational and Hemivariational Inequalities

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 5
  • Usage
    • Abstract Views: 11
see details

Share

COinS