Numerical Implementation of the Approximately Globally Convergent Method

  • Larisa Beilina
  • Michael Victor Klibanov


In this chapter, we describe our computational implementation of the approximately globally convergent numerical method of Chap. 2. We use the algorithm of Sect. 2.6.1. Theorems 2.8.2 and 2.9.4 ensure the approximate global convergence of this algorithm within either of above two approximate mathematical models. Thus, we verify in this chapter the second condition of the informal Definition of the approximate global convergence property.


Inverse Problem Regularization Parameter Boundary Data Compute Image Numerical Implementation 
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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Larisa Beilina
    • 1
  • Michael Victor Klibanov
    • 2
  1. 1.Department of Mathematical SciencesChalmers University of Technology Gothenburg UniversityGothenburgSweden
  2. 2.University of North CarolinaCharlotteUSA

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