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Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems (Hardcover, 2012)
Loot Price: R4,493
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Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems (Hardcover, 2012)
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"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.
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