Numerical Implementation of the Approximately Globally Convergent Method

Larisa Beilina and Michael Victor Klibanov
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Larisa Beilina: Chalmers University of Technology Gothenburg University, Department of Mathematical Sciences
Michael Victor Klibanov: University of North Carolina

Chapter Chapter 3 in Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems, 2012, pp 169-192 from Springer

Abstract: Abstract 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 1.1.2.2 of the approximate global convergence property.

Keywords: Inverse Problem; Regularization Parameter; Boundary Data; Compute Image; Numerical Implementation (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-7805-9_3

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DOI: 10.1007/978-1-4419-7805-9_3

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