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

Contact informations:

Department of Mathematics
344, Lockett Hall
Louisiana State University
Baton Rouge LA 70803
Tel. +1 (225) 578-1612
Fax. +1 (225) 578-4276