FAKULTÄT FÜR

MATHEMATIK

Forschungsinteressen

• Partiell-differential-algebraische Gleichungen (PDAEs)
• Poroelastische Gleichungen
• Dynamische Randbedingungen
• (Nichtlineare) PDE Eigenwertprobleme
• Energie-basierte Modellierung (zB. port-Hamiltonische Systeme)

Lebenslauf

Preise

Drittmittelprojekte

 Wintersemester 2024/25

• Vorlesung "Numerik partieller Differentialgleichungen"
• Vorlesung "Numerical Methodes for Ordinary and Partial Differential Equations"
• Seminar Numerische Mathematik

Sommersemester 2024

• Vorlesung "Einführung in die Numerik"
• Vorlesung "Modellierung 1b"
• Seminar Numerik

 Wintersemester 2023/24

• Vorlesung "Numerik gewöhnlicher DGL"
• Vorlesung "Numerical Methodes for Ordinary and Partial Differential Equations"
• Seminar zu Eigenwertproblemen

Preprints

R. Altmann, M. Hermann, D. Peterseim, T. Stykel: Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates, Arxiv Preprint 2411.09617, 2024.

R. Altmann, A. Mujahid, B. Unger: Decoupling multistep schemes for elliptic-parabolic problems, ArXiv Preprint 2407.18594, 2024.

R. Altmann, P. Schulze: A novel energy-based modeling framework, ArXiv Preprint 2406.12391, 2024.

R. Altmann, M. Deiml: A second-order iterative time integration scheme for linear poroelasticity, ArXiv Preprint 2403.12699, 2024.

Forschungsartikel

R. Altmann, A. Moradi: Probabilistic time integration for semi-explicit PDAEs, accepted for publication in Stat. Comput., 2024.

R. Altmann, A. Mujahid, B. Unger: Higher-order iterative decoupling for poroelasticity, Adv. Comput. Math., Vol. 50, 2024, article number 111.

R. Altmann, D. Peterseim, T. Stykel: Riemannian Newton methods for energy minimization problems of Kohn-Sham type, J. Sci. Comput., Vol. 101, 2024, article number 6.

R. Altmann, C. Zimmer: A posteriori error estimation for parabolic problems with dynamic boundary conditions. DAE Panel, Vol. 2, 2024, pp. 1-23.

R. Altmann, M. Deiml: A novel iterative time integration scheme for linear poroelasticity. Electron. Trans. Numer. Anal., Vol. 60, 2024, pp. 256-275.

R. Altmann, R. Maier, B. Unger: Semi-explicit integration of second order for weakly coupled poroelasticity. BIT Numer. Math., Vol. 64, 2024, article number 20.

R. Altmann, C. Zimmer: A second-order bulk-surface splitting for parabolic problems with dynamic boundary conditions. IMA J. Numer. Anal., Vol. 44(4), 2024, pp. 2370-2393.

R. Altmann: Splitting schemes for the semi-linear wave equation with dynamic boundary conditions. Computers and Mathematics with Applications, Vol. 151, 2023, pp. 12-20.

R. Altmann, C. Zimmer: Dissipation-preserving discretization of the Cahn-Hilliard equation with dynamic boundary conditions. Appl. Numer. Math., Vol. 190, 2023, pp. 254-269.

R. Altmann, B. Kovács, C. Zimmer: Bulk-surface Lie splitting for parabolic problems with dynamic boundary conditions. IMA J. Numer. Anal., Vol. 43(2), 2023, pp. 950-975.

R. Altmann, D. Peterseim, T. Stykel: Energy-adaptive Riemannian optimization on the Stiefel manifold. ESAIM Math. Model. Numer. Anal., Vol. 56(5), 2022, pp. 1629-1653.

R. Altmann, R. Maier: A decoupling and linearizing discretization for poroelasticity with nonlinear permeability. SIAM J. Sci. Comput., Vol. 44(3), 2022, pp. B457-B478.

R. Altmann, C. Zimmer: Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type. J. Math. Anal. Appl., Vol. 511(2), 2022, pp. 126095.

R. Altmann, P. Henning, 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.

R. Altmann, R. Herzog: Continuous Galerkin schemes for semi-explicit differential-algebraic equations. IMA J. Numer. Anal., Vol. 42(3), 2022, pp. 2214-2237.

R. Altmann, V. Mehrmann, B. Unger: Port-Hamiltonian formulations of poroelastic network models. Math. Comp. Model. Dyn., Vol. 27(1), 2021, pp. 429-452.

R. Altmann, P. Henning, D. Peterseim: Numerical homogenization beyond scale separation. Acta Numer., Vol. 30, 2021, pp. 1-86.

R. Altmann, P. Henning, D. Peterseim: The J-method for the Gross-Pitaevskii eigenvalue problem. Numer. Math., Vol. 148, 2021, pp. 575-610.

R. Altmann, B. Verfürth: A multiscale method for heterogeneous bulk-surface coupling. Multiscale Model. Simul., Vol. 19(1), 2021, pp. 374-400.

R. Altmann, R. Maier, B. Unger: Semi-explicit discretization schemes for weakly-coupled elliptic-parabolic problems. Math. Comp., Vol. 90, 2021, pp. 1089-1118.

R. Altmann, M. Froidevaux: PDE eigenvalue iterations with applications in two-dimensional photonic crystals. ESAIM Math. Model. Numer. Anal., Vol. 54(5), 2020, pp. 1751-1776.

R. Altmann, P. Henning, D. Peterseim: Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials. Math. Mod. Meth. Appl. S. (M3AS), Vol. 30(5), 2020, pp. 917-955.

R. Altmann, E. Chung, R. Maier, D. Peterseim, S.-M. Pun: Computational multiscale methods for linear heterogeneous poroelasticity. J. Comput. Math., Vol. 38(1), 2020, pp. 41-57.

R. Altmann, D. Peterseim: Localized computation of eigenstates of random Schrödinger operators. SIAM J. Sci. Comput., Vol. 41(6), 2019, pp. B1211-B1227.

S. Fu, R. Altmann, E. Chung, R. Maier, D. Peterseim, S.-M. Pun: Computational multiscale methods for linear poroelasticity with high contrast. J. Comput. Phys., Vol. 395, 2019, pp. 286-297.

R. Altmann: A PDAE formulation of parabolic problems with dynamic boundary conditions. Applied Mathematics Letters, Vol. 90, 2019, pp. 202-208.

R. Altmann, C. Zimmer: On the smoothing property of linear delay partial differential equations. J. Math. Anal. Appl., Vol. 467, 2018, pp. 916-934.

R. Altmann, C. Zimmer: Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations. Math. Comp., Vol. 87, 2018, pp. 149-174.

R. Altmann, J. Heiland: Regularization and Rothe discretization of semi-explicit operator DAEs. Int. J. Numer. Anal. Model., Vol. 15, 2018, pp. 452-478.

R. Altmann: Convergence of the Rothe method applied to operator DAEs arising in elastodynamics. Comput. Methods Appl. Math., Vol. 17, 2017, pp. 533-552.

R. Altmann, A. Ostermann: Splitting methods for constrained diffusion-reaction systems. Computers and Mathematics with Applications, Vol. 74, 2017, pp. 962-976.

R. Altmann, P. Schulze: A port-Hamiltonian formulation of the Navier–Stokes equations for reactive flows. Systems Control Lett., Vol. 100, 2017, pp. 51-55.

R. Altmann, J. Heiland: Simulation of multibody systems with servo constraints through optimal control. Multibody Syst. Dyn., Vol. 40, 2017, pp. 75-98.

R. Altmann, T. Levajković, H. Mena: Operator differential-algebraic equations with noise arising in fluid dynamics. Monatsh. Math., Vol. 182, 2017, pp. 741-780.

R. Altmann, P. Betsch, Y. Yang: Index reduction by minimal extension for the inverse dynamics simulation of cranes. Multibody Syst. Dyn., Vol. 36, 2016, pp. 295-321.

R. Altmann, J. Heiland: Finite element decomposition and minimal extension for flow equations. ESAIM Math. Model. Numer. Anal., Vol. 49(5), 2015, pp. 1489-1509.

R. Altmann: Moving Dirichlet boundary conditions. ESAIM Math. Model. Numer. Anal., Vol. 48(6), 2014, pp. 1859-1876.

R. Altmann: Index reduction for operator differential-algebraic equations in elastodynamics. Z. Angew. Math. Mech. (ZAMM), Vol. 93, 2013, pp. 648-664.

R. Altmann, C. Carstensen: P1-nonconforming finite elements on triangulations into triangles and quadrilaterals. SIAM J. Numer. Anal., Vol. 50, 2012, pp. 418-438.

Begutachtete Buchkapitel

R. Altmann, 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.

R. Altmann, 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.

P. Betsch, R. Altmann, 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

• Dr. Afsaneh Moradi
• Dr. Riccardo Morandin
• Abdullah Mujahid (U Stuttgart)
• Jochewed Schmeck