Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

By L. Beilina, Michael V. Klibanov. 2012

349 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b981edc05e50da10fc544ae70c21c32b0a48de09

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Michael V. Klibanov

In Computational Theory and Mathematics

1. Loc Hoang Nguyen
2. Thuy Thi-Thien Le
3. Michael V. Klibanov
4. Masahiro Yamamoto
5. Guillaume Bal

In Mathematical Physics

1. Loc Hoang Nguyen
2. Thuy Thi-Thien Le
3. Michael V. Klibanov
4. Masahiro Yamamoto
5. Guillaume Bal

Citations in the corpus

• Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems (2012, methodology): “While above citations of QRM are concerned only with linear problems, it was recently applied by the author with coauthors to solve MCIPs with backscattering data via the approximately globally convergent method [99, 100, 101, 102, 103], also see chapter 6 of [14].”
• A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data (2019, background): “The main ideas of the proof follow from [27, 28, 29, 30, 31].”