Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jip-2012-0072 ◽

2013 ◽

Vol 21 (4) ◽

Author(s):

Michael V. Klibanov

Keyword(s):

Numerical Methods ◽

Inverse Problems ◽

Carleman Estimates ◽

Global Uniqueness ◽

Coefficient Inverse Problems

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Globally Convergent Numerical Methods for Coefficient Inverse Problems for Imaging Inhomogeneities

Computing in Science & Engineering ◽

10.1109/mcse.2010.22 ◽

2010 ◽

Author(s):

Jianguo Xin ◽

Larisa Beilina ◽

Michael Klibanov

Keyword(s):

Numerical Methods ◽

Inverse Problems ◽

Globally Convergent ◽

Coefficient Inverse Problems

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3 Global uniqueness for coefficient inverse problems and Lipschitz stability for a hyperbolic CIP

10.1515/9783110745481-003 ◽

2021 ◽

pp. 41-76

Keyword(s):

Inverse Problems ◽

Lipschitz Stability ◽

Global Uniqueness ◽

Coefficient Inverse Problems

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Carleman Estimates for Coefficient Inverse Problems and Numerical Applications

10.1515/9783110915549 ◽

2004 ◽

Author(s):

Michael V. Klibanov ◽

Alexander A. Timonov

Keyword(s):

Inverse Problems ◽

Carleman Estimates ◽

Coefficient Inverse Problems

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Globally Convergent Numerical Methods for Coefficient Inverse Problems

10.21236/ada499357 ◽

2008 ◽

Author(s):

Michael V. Klibanov

Keyword(s):

Numerical Methods ◽

Inverse Problems ◽

Globally Convergent ◽

Coefficient Inverse Problems

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EXPLICIT FAST AND STABLE METHOD FOR SOLUTION OF SOME COEFFICIENT INVERSE PROBLEMS FOR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications ◽

10.32523/2306-3172-2013-1-2-92-101 ◽

2013 ◽

Vol 1 (1) ◽

pp. 92-101

Author(s):

Alexandre Grebennikov ◽

Keyword(s):

Partial Differential Equations ◽

Inverse Problems ◽

Differential Equations ◽

Stable Method ◽

Partial Differential ◽

Coefficient Inverse Problems

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A globally convergent convexification algorithm for multidimensional coefficient inverse problems

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jiip.2007.009 ◽

2007 ◽

Vol 15 (2) ◽

pp. 167-179 ◽

Author(s):

M. V. Klibanov ◽

A. Timonov

Keyword(s):

Inverse Problems ◽

Globally Convergent ◽

Coefficient Inverse Problems

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Carleman estimates and inverse problems for Dirac operators

Mathematische Annalen ◽

10.1007/s00208-008-0301-9 ◽

2008 ◽

Vol 344 (1) ◽

pp. 161-184 ◽

Author(s):

Mikko Salo ◽

Leo Tzou

Keyword(s):

Inverse Problems ◽

Dirac Operators ◽

Carleman Estimates

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Two approaches to the solution of coefficient inverse problems for wave equations

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542512020078 ◽

2012 ◽

Vol 52 (2) ◽

pp. 245-251 ◽

Author(s):

A. V. Goncharskii ◽

S. Yu. Romanov

Keyword(s):

Inverse Problems ◽

Wave Equations ◽

Coefficient Inverse Problems

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A Globally Convergent Numerical Method for Coefficient Inverse Problems with Time-Dependent Data

Applied Inverse Problems - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-1-4614-7816-4_7 ◽

2013 ◽

pp. 105-128 ◽

Author(s):

Aubrey Rhoden ◽

Natee Patong ◽

Yueming Liu ◽

Jianzhong Su ◽

Hanli Liu

Keyword(s):

Inverse Problems ◽

Numerical Method ◽

Time Dependent ◽

Dependent Data ◽

Globally Convergent ◽

Coefficient Inverse Problems

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Numerical methods for multiscale inverse problems

Communications in Mathematical Sciences ◽

10.4310/cms.2017.v15.n2.a2 ◽

2017 ◽

Vol 15 (2) ◽

pp. 305-328 ◽

Author(s):

Christina Frederick ◽

Björn Engquist

Keyword(s):

Numerical Methods ◽

Inverse Problems

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