Dr. Robert Altmann

Akademischer Rat
Computational Mathematics
Phone: +49 821 598-2184
Email:
Room: 3002 (L1)
Visiting hours: nach Vereinbarung
Address: Universitätsstraße 14, 86159 Augsburg

Teaching

(applied filters: semester: current | institute: Angewandte Analysis/Numerische Mathematik | lecturers: Robert Altmann | course types: all)
name semester type
Oberseminar zur Numerik summer semester 2020 Oberseminar
Arbeitsgemeinschaft: Wissenschaftliches Rechnen summer semester 2020 Arbeitsgemeinschaft
Numerische Verfahren für Materialwissenschaftler, Physiker und Wirtschaftsingenieure summer semester 2020 Vorlesung

Awards and Prizes

  • Dr.-Klaus-Körper Prize of the GAMM 2016
  • 2. Place Tiburtius Prize of the Berlin Universities 2016
  • Member of the GAMM Juniors 2014-2016

 

 

Third-party funds

  • 2017 - 2018 EC Math, Project OT10: Model reduction for nonlinear parameter-dependent eigenvalue problems in photonic crystals
  • 2020 - 2023 DFG Project: Decoupled computational methods for nonlinear parabolic problems with dynamic boundary conditions

 

 

Short CV

04/07 - 01/11     Studies in mathematics, Humboldt University of Berlin
10/09 - 05/15   Member of the Berlin Mathematical School (BMS)
02/11 - 04/11   Visiting researcher, Ecole des Ponts Paris (ENPC)
05/11 - 09/17   Research assistant, Technical University Berlin
04/16 - 07/16   Scholarship holder of the DAAD, University of Innsbruck
seit 10/17   Akademischer Rat (Post-Doc), University of Augsburg

 

 

Selected Conference- and Workshop Contributions

11/14   Research in pairs, MFO in Oberwolfach
03/15     Organizer of a young researcher minisymposium, GAMM annual meeting in Lecce
08/15   Organizer of a minisymposium, ICIAM in Peking
09/15   Talk in a minisymposium, SciCADE in Potsdam
09/16   Invited talk, workshop "Modelling, model reduction, and optimization of flows" in Shanghai
09/17   Talk in a minisymposium, SciCADE in Bath
02/18   Research in pairs, MFO in Oberwolfach
04/18     Organizer of the GAMM workshop "Analysis and numerical approximation of constrained systems" in Sion
02/19     Organizer of a young researcher minisymposium, GAMM annual meeting in Vienna
03/19   Organizer of the GAMM workshop "Young academics workshop" in Sion
07/19   Talk in a minisymposium, ICIAM in Valencia
08/19   Research in pairs, CIRM in Luminy
03/20   Organizer of the GAMM workshop "Maxwell, Stokes, and Schrödinger" in Sion
09/20     Organizer of a minisymposium, DMV annual meeting in Chemnitz

Publications

Preprints

[P1] R. Altmann, P. Henning, and D. Peterseim. Localization and delocalization of ground states of Bose-Einstein condensates under disorder. ArXiv Preprint 2006.00773, 2020.
[P2] R. Altmann and B. Verfürth. A multiscale method for heterogeneous bulk-surface coupling. ArXiv Preprint 2005.06320, 2020.
[P3] R. Altmann, R. Maier, and B. Unger. Semi-explicit discretization schemes for weakly-coupled elliptic-parabolic problems. ArXiv Preprint 1909.03497, 2019.
[P4] R. Altmann, P. Henning, and D. Peterseim. The J-method for the Gross-Pitaevskii eigenvalue problem. ArXiv Preprint 1908.00333, 2019.
[P5] R. Altmann and C. Zimmer. Time discretization schemes for hyperbolic systems on networks by ε-expansion. ArXiv Preprint 1810.04278, 2018 (also Oberwolfach Preprint 2019-03).

 

 

Journal Articles

[1]

R. Altmann and C. Carstensen. P1-nonconforming finite elements on triangulations into triangles and quadrilaterals. SIAM J. Numer. Anal., Vol. 50, 2012, pp. 418–438.
[2] R. Altmann. Index reduction for operator differential-algebraic equations in elastodynamics. Z. Angew. Math. Mech. (ZAMM), Vol. 93, 2013, pp. 648–664.
[3] R. Altmann. Moving Dirichlet boundary conditions. ESAIM Math. Model. Numer. Anal., Vol. 48(6), 2014, pp. 1859–1876.
[4] R. Altmann and J. Heiland. Finite element decomposition and minimal extension for flow equations. ESAIM Math. Model. Numer. Anal., Vol. 49(5), 2015, pp. 1489–1509.
[5] R. Altmann, P. Betsch, and Y. Yang. Index reduction by minimal extension for the inverse dynamics simulation of cranes. Multibody Syst. Dyn., Vol. 36, 2016, pp. 295–321.
[6] R. Altmann, T. Levajković, and H. Mena. Operator differential-algebraic equations with noise arising in fluid dynamics. Monatsh. Math., Vol. 182, 2017, pp. 741–780.
[7] R. Altmann and J. Heiland. Simulation of multibody systems with servo constraints through optimal control. Multibody Syst. Dyn., Vol. 40, 2017, pp. 75–98.
[8] R. Altmann and P. Schulze. A port-Hamiltonian formulation of the Navier–Stokes equations for reactive flows. Systems Control Lett., Vol. 100, 2017, pp. 51–55.
[9] R. Altmann and A. Ostermann. Splitting methods for constrained diffusion-reaction systems. Computers and Mathematics with Applications, Vol. 74, 2017, pp. 962–976.
[10] R. Altmann. Convergence of the Rothe method applied to operator DAEs arising in elastodynamics. Comput. Methods Appl. Math., Vol. 17, 2017, pp. 533–552.
[11] R. Altmann and J. Heiland. Regularization and Rothe discretization of semi-explicit operator DAEs. Int. J. Numer. Anal. Model., Vol. 15, 2018, pp. 452–478.
[12] R. Altmann and C. Zimmer. Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations. Math. Comp., Vol. 87, 2018, pp. 149–174.
[13] R. Altmann and C. Zimmer. On the smoothing property of linear delay partial differential equations. J. Math. Anal. Appl., Vol. 467, 2018, pp. 916–934.
[14] R. Altmann. A PDAE formulation of parabolic problems with dynamic boundary conditions. Applied Mathematics Letters, Vol. 90, 2019, pp. 202–208.
[15] S. Fu, R. Altmann, E. Chung, R. Maier, D. Peterseim, and S.-M. Pun. Computational multiscale methods for linear poroelasticity with high contrast. J. Comput. Phys., Vol. 395, 2019, pp. 286–297.
[16] R. Altmann and D. Peterseim. Localized computation of eigenstates of random Schrödinger operators. SIAM J. Sci. Comput., Vol. 41(6), 2019, pp. B1211–B1227.
[17] R. Altmann, E. Chung, R. Maier, D. Peterseim, and S.-M. Pun. Computational multiscale methods for linear heterogeneous poroelasticity. J. Comput. Math., Vol. 38(1), 2020, pp. 41–57.
[18] R. Altmann, P. Henning, and D. Peterseim. Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials. Math. Mod. Meth. Appl. S. (M3AS), Vol. 30(5), 2020, pp. 917–955.
[19] R. Altmann and M. Froidevaux. PDE eigenvalue iterations with applications in two-dimensional photonic crystals. ESAIM Math. Model. Numer. Anal., Vol. 54(5), 2020, pp. 1751–1776.

 

Book Chapter

[20] P. Betsch, R. Altmann, and Y. Yang. Numerical Integration of Underactuated Mechanical Systems Subjected to Mixed Holonomic and Servo Constraints. In Multibody Dynamics: Computational Methods and Applications, Springer International Publishing, pp. 1–18, 2016.
[21] R. Altmann and J. Heiland. Continuous, semi-discrete, and fully discretized Navier-Stokes equations. In Applications of Differential-Algebraic Equations: Examples and Benchmarks, Springer International Publishing, pp. 277–312, 2019.
[22] R. Altmann and C. Zimmer. Exponential integrators for semi-linear parabolic problems with linear constraints. To appear in Progress in Differential-Algebraic Equations II. Differential-Algebraic Equations Forum, 2020.

 

Theses

[Th1] R. Altmann. Theoretische und Numerische Betrachtung partieller Differentialgleichungen mithilfe des nichtkonformen Park-Sheen Elements. Diplomarbeit, HU Berlin, 2011.
[Th2] R. Altmann. Regularization and Simulation of Constrained Partial Differential Equations. Dissertation, TU Berlin, 2015.

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