M.Sc. Robert Lee Gates
- Efficient solution of stochastic PDEs using adaptive multilevel methods,
- Self-affine problems, in particular the contact dynamics of rolling tires on rough surfaces,
- Structure-preserving finite element discretization of partial differential equations (FEEC),
- Fundamentals of geometry in mechanics (exterior algebra, geometric mechanics).
Research activities & conference talks
R.L. Gates, M.R. Bittens, U. Nackenhorst. HP-Adaptive finite element exterior calculus in higher dimensions. Conference talk at MFET 2017, Bad Honnef, Germany.
R.L. Gates, U. Nackenhorst. Rough surface contact: improved efficiency and robustness through the incorporation of multi-freedom constraints. Conference talk at ICCCM 2017, Lecce, Italy.
R.L. Gates, M.R. Bittens, E. Stein. The finite element exterior calculus, in: E. Stein, M.O. Rüter. Finite Element Methods for Elasticity with Error-controlled Discretization and Model Adaptivity, vol. 2 of E. Stein, R. de Borst, T.J.R. Hughes (eds.), Encyclopedia of Computational Mechanics, Wiley, 2nd ed., 2017.
Financed under DFG grant: Computational techniques for the stochastic excitation of rolling tires due to rough road surface contact.
R.L. Gates, M.R. Bittens, U. Nackenhorst. Adaptive multilevel approaches for stochastic partial differential equations. Oberseminar Analysis/Numerik, Faculty of Mathematics, Carl von Ossietzky Universität Oldenburg.
R.L. Gates, M.R. Bittens, U. Nackenhorst. MIASC: An adaptive approach to uncertainty quantification in discretized problems of reduced regularity; part 1. Conference talk at ECCOMAS 2016, CS-1300, Crete, Greece.
R.L. Gates, M.R. Bittens, U. Nackenhorst. Combining multilevel and adaptive collocation approaches for the efficient solution of discretized problems. Conference talk at APM 2016, Saint Petersburg, Russian Federation.
R.L. Gates, M.R. Bittens, U. Nackenhorst. Multilevel adaptive sparse grid stochastic collocation approaches to uncertainty quantification in discretized problems. Conference talk at FE im Schnee 2016, Mittelberg, Austria.
R.L. Gates, M.R. Bittens. A multilevel adaptive sparse grid stochastic collocation approach to the non-smooth forward propagation of uncertainty in discretized problems. eprint arXiv:1509.01462 [physics.comp-ph], 2015.
R.L. Gates, R. Beyer, U. Nackenhorst, A. Chernov. Investigation of stochastic multiscale Monte Carlo methods for the contact of tire tread rubber with rough road surfaces. Conference talk at ICCCM 2015, Hanover, Germany.
Topics for student theses are provided on an individual basis. Please contact me directly.
|since 2015||Research assistant and doctoral student at IBNM|
|2013 - 2015||M.Sc. studies in Structural Engineering at Leibniz Universität Hannover|
|2009 - 2013||B.Sc. studies in Civil and Environmental Engineering at LUH|
|2008||German Abitur qualifying for university matriculation|
|04/26/1989||Born in Landsberg am Lech, Germany|