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Logo: Institute of Mechanics and Computational Mechanics
Logo Leibniz Universität Hannover
Logo: Institute of Mechanics and Computational Mechanics
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M.Sc. Robert Lee Gates


Institut für Baumechanik und Numerische Mechanik
Appelstr. 9a
30167 Hannover
room: Gebäude 3408 - Raum 121

phone:+49 511.762-4897
fax:+49-511-762-19053
mail:robert.gatesibnm.uni-hannover.de
homepage:www.ibnm.uni-hannover.de
hours:Monday: 10 - 11.30 a.m.
and by appointment

Bild von M.Sc. Robert Lee Gates

Research interests

  • 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).

Hodge Laplacian for K=1 with hp-hierarchical basis


Hodge Laplacian for K=2 with hp-hierarchical basis





Hodge Laplacian for K=0 with hp-hierarchical basis

Research activities & conference talks

2017

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.

2016

Financed under DFG grant: Computational techniques for the stochastic excitation of rolling tires due to rough road surface contact.

Member of the GAMM Activity Group on Uncertainty Quantification (AG UQ)

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.

2015

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.

Teaching activities

Topics for student theses are provided on an individual basis. Please contact me directly.

Curriculum vitae

since 2015Research assistant and doctoral student at IBNM
2013 - 2015M.Sc. studies in Structural Engineering at Leibniz Universität Hannover
2009 - 2013B.Sc. studies in Civil and Environmental Engineering at LUH
2008German Abitur qualifying for university matriculation
04/26/1989Born in Landsberg am Lech, Germany