Extended finite elements and meshfree methods for computational mechanics -- Stephane Pierre Alain Bordas, computational mechanics, Department of Civil Engineering, University of Glasgow

Stéphane BORDAS

Dr Stéphane Bordas

Lecturer

Ph.D. Theoretical and Applied Mechanics (2003) Northwestern University

Contact: stephane DOT bordas AT gmail DOT com

esearch Metrics

My research concentrates on the development of more efficient numerical techniques for the simulation of various physical phenomena, with an emphasis on moving boundary problems (fracture mechanics, biofilm growth). To date, I have focused on modifications of the finite element method (extended finite elements (XFEM) and the smooth finite element method (SFEM)), and, more recently, so-called meshfree methods, with Dr. Timon Rabczuk, through what is a most fruitful collaboration.

The second main research direction I have been pursuing is a posteriori error estimation and adaptivity for partition of unity enriched numerical techniques such as the XFEM. This work is done in conjunction with Dr Marc Duflot (CENAERO, Belgium), Dr Sergey Korotov (HUT, Helsinki, Finland), Dr Marcus Rueter and Professor Tiantang Yu (HHU, China). Our goal is to devise efficient and effective error estimators and adaptivity techniques for the XFEM, including goal-oriented error measures for fracture mechanics.

Since 2007, I have been collaborating with Dr Oleg Davydov (Mathematics, Strathclyde), an expert in approximation theory. We are joining forces in order to devise new meshfree methods and contribute to a more accurate mathematical understanding of partition of unity methods.

Dr Stéphane Bordas

Lecturer

esearch Metrics

Publications

Grants

Ph.D. studentship funded by Bosch (2008-2011)

Ph.D. studentship funded by EPSRC and Schlumberger (2008-2011)

Research projects