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Approximate global convergence and adaptivity for coefficient inverse problems [Elektronski vir]Beilina, LarisaAnnotation. 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 approximations 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.Vrsta gradiva - e-knjigaZaložništvo in izdelava - New York : Springer, cop. 2012Jezik - angleškiISBN - 978-1-4419-7805-9; 1-4419-7805-4COBISS.SI-ID - 1544913119
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SpringerLink e-books 2008-2012Celotno besedilo dostopno za uporabnike SpringerLink slovenskega konzorcija neprofitnih institucij
Full text accessible to the users of SpringerLink Slovenian Consortium of Non-Profit Institutions
DOI
Avtor
Beilina, Larisa
Drugi avtorji
Klibanov, Michael V.
Teme
Inverse problems (Differential equations) |
Numerical solutions |
Finite element method |
Partial Differential Equations |
Numerical and Computational Physics |
Appl. Mathematics/Computational Methods of Engineering |
Numerical Analysis |
Global Analysis and Analysis on Manifolds |
Finite element method |
Inverse problems (Differential equations) |
Numerical solutions |
Electronic books
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