Research Interests:
My primary research interest lies in the analysis and numerical implementation of the variational approaches to the mechanics of defect, and in particular brittle fracture. Throughout this work, I became increasingly interested in large scale high performance computing. In particular, I am deeply indebted to the PETSc, TAO, Cubit, and VisIt projects which play an instrumental role in my research.I strongly value interdisciplinary work and have worked on application of these problems to problems as diverse as reservoir stimulation for Enhanced Geothermal Systems, fracture of thin film coatings or drying of colloidal suspensions, with collaborators from mathematics, physics, mechanics and engineering. I am also fortunate to advise three bright graduate students: Ataollah Mesgarnejad (LSU Mechanical and Industrial Engineering), Chukwudi Chukwudozie (LSU Petroleum Engineering), and Erwan Tanné (École Polytechnique, France).
In the past, I also did some work on optimal design and image processing.
Recent collaborators
- Jean François Babadjian (Université Pierre et Marie Curie, France)
- Kaushik Bhattacharya (California Institute of Technology, USA)
- Gilles Francfort (Université Paris Nord, France)
- George Gauthier (Université Paris Sud, France)
- Duvan Henao (Pontificia Universidad Católica de Chile)
- Matthew Knepley (U. of Chicago, USA)
- Christopher Larsen (WPI, USA)
- Véronique Lazarus (Université Paris Sud, France)
- Jean-Jacques Marigo (École Polytechnique, France)
- Corrado Maurini (Université Pierre et Marie Curie, France)
- Édouard Oudet (Université de Savoie, France)
- Mayank Tyagi (LSU, USA)
- Christopher D. White (LSU, USA)
- Keita Yoshioka (Chevron ETC, USA)
Contact informations:
Department of Mathematics344, Lockett Hall
Louisiana State University
Baton Rouge LA 70803
Tel. +1 (225) 578-1612
Fax. +1 (225) 578-4276