Numerical Implementation of the Approximately Globally Convergent Method

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Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

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.

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Beilina, L., Klibanov, M.V. (2012). Numerical Implementation of the Approximately Globally Convergent Method. In: Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-7805-9_3

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