"Computational Contact Mechanics: An Interplay between Finite Elements

and Optimization"






(Bilkent University –

Department of Mechanical Engineering)



Abstract: Computational contact mechanics problems can be notoriously difficult to solve and optimization algorithms play a key role in addressing these problems in a numerically reliable manner.  In this presentation, I aim to underline the advantages of a class of optimization algorithms known as interior point methods.  I will start with an introduction to the underlying variational formulation of contact problems and then discuss a generic numerical implementation in the  framework of the finite element method.  I will subsequently highlight the role of optimization in contact mechanics and discuss the steps leading to a particular interior point algorithm. Finally, I will demonstrate the efficiency and the robustness of the computational framework through various benchmark problems. The presentation will be accessible to undergraduate students as well.



Date:  Wednesday, April  15,  2015

Time: 15.40

Place: Mathematics Seminar Room, SA-141


All are most cordially invited.
Tea and biscuits: before the seminar