New a posteriori error estimates for adaptivity technique and global convergence for the hyperbolic coefficient inverse problem

被引：0

作者：

Beilina L. ^{[1
]}

Klibanov M.V. ^{[2
]}

Kuzhuget A. ^{[2
]}

机构：

[1] Chalmers University of Technology and Gothenburg University

[2] University of North Carolina at Charlotte, Charlotte

来源：

Journal of Mathematical Sciences | 2011年 / 172卷 / 4期

关键词：

Inverse Problem; Weak Solution; Global Convergence; Posteriori Error; Forward Problem;

D O I：

10.1007/s10958-011-0203-3

中图分类号：

学科分类号：

摘要：

The coefficient inverse problem for a hyperbolic equation is studied by using the two-stage numerical procedure consisting of the global convergence method and the adaptive finite element method. We obtain new a posteriori error estimates for the Lagrangian and for the unknown coefficient, which is important at the second stage of procedure from the computational point of view. The results are illustrated by numerical experiments. Bibliography: 23 titles. Illustrations: figures. © 2011 Springer Science+Business Media, Inc.

引用

页码：449 / 476

页数：27

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