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Field name	Details
Dewey Class	515.353
Title	Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems (EB) / by Larisa Beilina, Michael Victor Klibanov.
Author	Beilina, Larisa
Added Personal Name	Klibanov, Michael Victor
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Springer US , 2012.
Physical Details	XV, 407 pages : 78 illus., 73 illus. in color. : online resource.
ISBN	9781441978059
Summary Note	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 and the Adaptive Finite Element Method (adaptivity for brevity). Two central questions for CIPs are addressed: How to obtain a good approximation for the exact solution without any knowledge of a small neighborhood of this solution, and how to refine it given the approximation. The book also combines analytical convergence results with recipes for various numerical implementations of developed algorithms. The developed technique is applied to two types of blind experimental data, which are collected both in a laboratory and in the field. The result for the blind backscattering experimental data collected in the field addresses a real-world problem of imaging of shallow explosives.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4419-7805-9
Links to Related Works	Subject References: Appl.Mathematics/Computational Methods of Engineering . Differential equations, Partial . Engineering mathematics . Global analysis . Global Analysis and Analysis on Manifolds . Mathematics . Numerical Analysis . Numerical and Computational Physics . Partial differential equations . Authors: author . Beilina, Larisa . Klibanov, Michael Victor . Corporate Authors: SpringerLink (Online service) . Classification: 515.353 .

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Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

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