Numerische Mathematik

  1. Universität
  2. Fakultäten
  3. Mathematisch-Naturwissenschaftlich-Technische Fakultät
  4. Institut für Mathematik
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  7. Team
  8. Robert Altmann

PD Dr. Robert Altmann

Akademischer Rat
Numerische Mathematik
Telefon: +49 821 598-4828
E-Mail: robert.altmann@math.uni-augsburg.de
Raum: 1314 (I)
Sprechzeiten: nach Vereinbarung
Adresse: Universitätsstraße 12a, 86159 Augsburg

Lehre

(Angewandte Filter: Semester: aktuelles | Institutionen: Angewandte Analysis/Numerische Mathematik | Dozenten: Robert Altmann | Vorlesungsarten: alle)
Name Semester Typ
Numerische Verfahren für Materialwissenschaftler, Physiker und Wirtschaftsingenieure Sommersemester 2023 Vorlesung
Arbeitsgemeinschaft: Wissenschaftliches Rechnen Sommersemester 2023 Arbeitsgemeinschaft
Oberseminar zur Numerik Sommersemester 2023 Oberseminar

Auszeichnungen und Preise

  • Dr.-Klaus-Körper Preis der GAMM 2016
  • 2. Platz beim Tiburtius Preis der Berliner Hochschulen 2016
  • Mitglied der GAMM Juniors 2014-2016

 

 

Drittmittelprojekte

  • 2017 - 2018 EC Math, Projekt OT10: Model reduction for nonlinear parameter-dependent eigenvalue problems in photonic crystals
  • 2020 - 2023 DFG Projekt: Decoupled computational methods for nonlinear parabolic problems with dynamic boundary conditions
  • 2021 - 2024 DFG Projekt: Decoupling integration schemes of higher order for poroelastic networks

 

 

Lebenslauf

04/07 - 01/11     Mathematikstudium, HU Berlin
10/09 - 05/15   Mitglied der Berlin Mathematical School (BMS)
02/11 - 04/11   Forschungsaufenthalt, Ecole des Ponts Paris (ENPC)
05/11 - 09/17   Wissenschaftlicher Mitarbeiter, TU Berlin
04/16 - 07/16   DAAD Stipendiat, Universität Innsbruck
seit 10/17   Akademischer Rat, Universität Augsburg

 

 

Ausgewählte Konferenz- und Workshopbeiträge

11/14   Research in Pairs, MFO in Oberwolfach
03/15     Organisator eines Young Researcher Minisymposiums, GAMM Jahrestagung in Lecce
08/15   Organisator eines Minisymposiums, ICIAM in Peking
09/15   Sprecher in einem Minisymposium, SciCADE in Potsdam
09/16   Eingeladener Vortrag, Workshop "Modelling, Model Reduction, and Optimization of Flows" in Shanghai
09/17   Sprecher in einem Minisymposium, SciCADE in Bath
02/18   Research in Pairs, MFO in Oberwolfach
04/18     Organisator des GAMM-Workshops "Analysis and Numerical Approximation of Constrained Systems" in Sion
02/19     Organisator eines Young Researcher Minisymposiums, GAMM Jahrestagung in Wien
03/19   Organisator des GAMM-Workshops "Young Academics Workshop" in Sion
07/19   Sprecher in einem Minisymposium, ICIAM in Valencia
08/19   Research in Pairs, CIRM in Luminy
03/20   Organisator des GAMM-Workshops "Maxwell, Stokes, and Schrödinger" in Sion (abgesagt)
09/20     Organisator eines Minisymposiums, DMV Jahrestagung in Chemnitz
03/21   Organisator des GAMM-Workshops "Sion Digital", online
02/22   Sprecher in einem Minisymposium, Conference on Mathematics of Wave Phenomena

Publikationen

Eingereichte Preprints

[P1] R. Altmann and M. Deiml. A novel iterative time integration scheme for linear poroelasticity. ArXiv Preprint 2304.12224, 2023.
[P2] R. Altmann and C. Zimmer. A posteriori error estimation for parabolic problems with dynamic boundary conditions. ArXiv Preprint 2302.02893, 2023.
[P3] R. Altmann and C. Zimmer. A second-order bulk-surface splitting for parabolic problems with dynamic boundary conditions. ArXiv Preprint 2209.07835, 2022.
[P4] R. Altmann, R. Maier and B. Unger. Semi-explicit integration of second order for weakly coupled poroelasticity. ArXiv Preprint 2203.16664, 2022.
[P5] R. Altmann. Splitting schemes for the semi-linear wave equation with dynamic boundary conditions. ArXiv Preprint 2112.04321, 2021.

 

 

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.
[20] R. Altmann, R. Maier, and B. Unger. Semi-explicit discretization schemes for weakly-coupled elliptic-parabolic problems. Math. Comp., Vol. 90, 2021, pp. 1089–1118.
[21] R. Altmann and B. Verfürth. A multiscale method for heterogeneous bulk-surface coupling. Multiscale Model. Simul., Vol. 19(1), 2021, pp. 374–400.
[22] R. Altmann, P. Henning, and D. Peterseim. The J-method for the Gross-Pitaevskii eigenvalue problem. Numer. Math., Vol. 148, 2021, pp. 575–610.
[23] R. Altmann, P. Henning, and D. Peterseim. Numerical homogenization beyond scale separation. Acta Numer., Vol. 30, 2021, pp. 1-86.
[24] R. Altmann, V. Mehrmann, and B. Unger. Port-Hamiltonian formulations of poroelastic network models. Math. Comp. Model. Dyn., Vol. 27(1), 2021, pp. 429-452.
[25] R. Altmann and R. Herzog. Continuous Galerkin schemes for semi-explicit differential-algebraic equations. IMA J. Numer. Anal., Vol. 42(3), 2022, pp. 2214-2237.
[26] R. Altmann, P. Henning, and D. Peterseim. Localization and delocalization of ground states of Bose-Einstein condensates under disorder. SIAM J. Appl. Math., Vol. 82(1), 2022, pp. 330-358.
[27] R. Altmann and C. Zimmer. Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type. J. Math. Anal. Appl., Vol. 511(2), 2022, pp. 126095.
[28] R. Altmann and R. Maier. A decoupling and linearizing discretization for poroelasticity with nonlinear permeability. SIAM J. Sci. Comput., Vol. 44(3), 2022, pp. B457–B478.
[29] R. Altmann, D. Peterseim, and T. Stykel. Energy-adaptive Riemannian optimization on the Stiefel manifold. ESAIM Math. Model. Numer. Anal., Vol. 56(5), 2022, pp. 1629-1653.
[30] R. Altmann, B. Kovács, and C. Zimmer. Bulk-surface Lie splitting for parabolic problems with dynamic boundary conditions. IMA J. Numer. Anal., Vol. 43(2), 2023, pp. 950-975.
[31] R. Altmann and C. Zimmer. Dissipation-preserving discretization of the Cahn-Hilliard equation with dynamic boundary conditions. Accepted for publication in Appl. Numer. Math., 2023.

 

Book Chapter

[32] 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, Cham, pp. 1–18, 2016.
[33] R. Altmann and J. Heiland. Continuous, semi-discrete, and fully discretized Navier-Stokes equations. In Applications of Differential-Algebraic Equations: Examples and Benchmarks, Springer, Cham, pp. 277–312, 2019.
[34] R. Altmann and C. Zimmer. Exponential integrators for semi-linear parabolic problems with linear constraints. In Progress in Differential-Algebraic Equations II, Springer, Cham, pp. 137–164, 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.
[Th3] R. Altmann. Numerical Methods for Complex Dynamical Systems. Habilitationsschrift (kumulativ), Universität Augsburg, 2020.

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