M5. Theoretical and Numerical Results in Geometric Inverse Problems for PDEs 

In recent years, the interest for the analysis and simulations of inverse problems for Partial Differential Equations (PDE’s) of many kinds has grown a lot. This is motivated for their relevance in many applications: elastography and medical imaging, seismology, potential theory, ion transport problems or chromatography and finances, for example. The study of such type of problems includes theoretical results on the uniqueness, stability and numerical approximations.

The purpose of this minisymposium is to show and share different analytical and computational methods for inverse problems that could be based in the problems that arise from Science, Medicine or Technology.

This symposium could be an opportunity to gather well established scientists as well as young researchers working on inverse problems with partial differential equations. The topics of the minisymposium can vary from mathematical modelling to the theoretical and numerical analysis and simulations of inverse problems related to geometry issues.

Organizers: 
Anna Doubova, University of Seville, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Jone Apraiz, University of the Basque Country, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers:
Jone Apraiz, University of the Basque Country, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Geometric inverse problems for the Burgers equation and related systems 

Jon Asier Bárcena-Petisco, University of the Basque Country, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Inverse problems for parabolic equations in networks with loops

Larisa Beilina, Chalmers University of Technology and University of Gothenburg, Sweden, This email address is being protected from spambots. You need JavaScript enabled to view it.
Adaptive finite element method for solution of inverse and ill-posed problems

Umberto Biccari, University of Deusto, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it.
Multilevel control

Carlos Castro, Universidad Politécnica de Madrid, Spain, This email address is being protected from spambots. You need JavaScript enabled to view it. 
Numerical reconstruction of the conductivity in the 3-d Calderon problem using the Born approximation

Jairo Rocha de Faria, Universidade Federal de Paraíba, Brasil, This email address is being protected from spambots. You need JavaScript enabled to view it.     
Transcranial direct current simulation: estimation of individually targeted using the head geometry

Axel Osses, Universidad de Chile, Chile, This email address is being protected from spambots. You need JavaScript enabled to view it.
A resistance method for a fluid-obstacle inverse problem

 

                                                                                                                                                                                    

More in this category: « M4. Modern Challenges in Inverse Problems Including Boundary Rigidity, Microlocal Analysis and Cloaking M6. Generalized Radon Transforms and Applications »
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PLENARY SPEAKERS

Prof. Dr. Liliana Borcea

University of Michigan, USA
http://www-personal.umich.edu/~borcea/

Inverse Scattering in Random Media, Electro-Magnetic Inverse Problems, Effective Properties of Composite Materials, Transport in High Contrast, Heterogeneous Media

Prof. Dr. Bernd Hofmann

Chemnitz University of Technology, Germany
https://www.tu-chemnitz.de/mathematik/inverse_probleme/hofmann/

Regularization of Inverse and Ill-Posed Problems

Prof. Dr. John C Schotland

Yale University, USA
https://gauss.math.yale.edu/~js4228/

Inverse Problems with Applications to Imaging, Scattering Theory, Waves in Random Media, Nano-Scale Optics, Coherence Theory and Quantum Optics

Prof. Dr. Erkki Somersalo

Case Western Reserve University, USA
https://sites.google.com/case.edu/erkkisomersalo/home

Computational and Statistical Inverse Problems, Probabilistic Methods for Uncertainty Quantification, Modeling of Complex Systems, Biomedical applications

Prof. Dr. Gunther Uhlmann

University of Washington, USA
https://sites.math.washington.edu/~gunther/

Inverse Problems and Imaging, Partial Differential Equations, Microlocal Analysis, Scattering Theory

Prof. Dr. Jun Zou

The Chinese University of Hong Kong, Hong Kong SAR
https://www.math.cuhk.edu.hk/~zou/

Numerical Solutions of Electromagnetic Maxwell Systems and Interface Problems, Inverse and Ill-Posed Problems, Preconditioned and Domain Decomposition Methods