Dr. Dhia Mansour
Mathematisches Institut
Universität Tübingen
Auf der Morgenstelle 10
D-72076 Tübingen
Room 3P16, building C (site map)
phone: +49 7071 29 72934
fax: +49 7071 29 4322
mail: mansour (at) na.uni-tuebingen.de
Office hour
Interests
- PDEs on moving surfaces
- Variational integrators, Runge-Kutta
- Mean curvature flow, Willmore flow
- Plane curves, Space curves
Publications
- Dhia Mansour, Numerical Analysis of Partial Differential Equations on Evolving Surfaces, PhD thesis, July 2013.
- Dhia Mansour, Gauss-Runge-Kutta time discretization of wave equations on evolving surfaces, April 2013.
- Dhia Mansour, Full discretization of wave equations on evolving surfaces. In Proceedings of the 11th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2013), June 2013.
- Christian Lubich, Dhia Mansour, Variational discretization of linear wave equations on evolving surfaces, November 2012.
- Christian Lubich, Dhia Mansour, Chandrasekhar Venkataraman, Backward difference time discretization of parabolic differential equations on evolving surfaces, February 2012, revised July 2012. To appear in IMA J. Numer. Anal.
- Gerhard Dziuk, Christian Lubich, Dhia Mansour, Runge-Kutta time discretization of
parabolic differential equations on evolving surfaces, IMA J. Numer. Anal. 32 (2012), 394-416.
- Dhia Mansour, Harnack type inequalities for nonlinear PDE's involving critical Sobolev exponents, Diploma thesis, November 2009.
Projects
Lecture
Teaching assistantship
