Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

• Main Authors: Beilina, Larisa (Author), Klibanov, Michael Victor (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2012.
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Numerical analysis.; Physics.; Applied mathematics.; Engineering mathematics.; Partial Differential Equations.; Numerical and Computational Physics.; Appl.Mathematics/Computational Methods of Engineering.; Numerical Analysis.; Global Analysis and Analysis on Manifolds.

Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems is the first book in which two new concepts of numerical solutions of multidimensional Coefficient Inverse Problems (CIPs) for a hyperbolic Partial Differential Equation (PDE) are presented: Approximate Global Convergence...

Table of Contents:

• Two Central Questions of This Book and an Introduction to the Theories of Ill-Posed and Coefficient Inverse Problems
• Approximately Globally Convergent Numerical Method
• Numerical Implementation of the Approximately Globally Convergent Method
• The Adaptive Finite Element Technique and its Synthesis with the Approximately Globally Convergent Numerical Method
• Blind Experimental Data
• Backscattering Data.