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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year

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Rank 59 out of 312 in category Mathematics and 93 out of 254 in Applied Mathematics in the 2015 Thomson Reuters Journal Citation Report/Science Edition

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Volume 18, Issue 1 (Jan 2010)


Synthesis of global convergence and adaptivity for a hyperbolic coefficient inverse problem in 3D

Larisa Beilina
  • Department of Mathematical Sciences, Chalmers University of Technology and Gothenburg University, SE-42196 Gothenburg, Sweden. E-mail:
/ Michael V. Klibanov
  • Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA. E-mail:
Published Online: 2010-04-12 | DOI: https://doi.org/10.1515/jiip.2010.003


A globally convergent numerical method for a 3-Dimensional Coefficient Inverse Problem for a hyperbolic equation is presented. A new globally convergent theorem is proven. It is shown that this technique provides a good first guess for the Finite Element Adaptive method (adaptivity) method. This leads to a synthesis of both approaches. Numerical results are presented.

Keywords.: Two-stage numerical procedure; globally convergent numerical method; adaptive finite element method

About the article

Received: 2009-12-07

Published Online: 2010-04-12

Published in Print: 2010-04-01

Citation Information: Journal of Inverse and Ill-posed Problems, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip.2010.003. Export Citation

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