21 citations · 21 across the 16 of their papers we have counts for
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Splitting schemes for the semi-linear wave equation with dynamic boundary conditions
Robert Altmann
This paper introduces novel bulk-surface splitting schemes of first and second order for the wave equation with kinetic and acoustic boundary conditions of semi-linear type. For ki…
Bulk-surface Lie splitting for parabolic problems with dynamic boundary conditions
Robert Altmann, Balázs Kovács, Christoph Zimmer
This paper studies bulk-surface splitting methods of first order for (semi-linear) parabolic partial differential equations with dynamic boundary conditions. The proposed Lie split…
Energy-adaptive Riemannian optimization on the Stiefel manifold
Robert Altmann, Daniel Peterseim, Tatjana Stykel
This paper addresses the numerical solution of nonlinear eigenvector problems such as the Gross-Pitaevskii and Kohn-Sham equation arising in computational physics and chemistry. Th…
A decoupling and linearizing discretization for weakly coupled poroelasticity with nonlinear permeability
Robert Altmann, Roland Maier
We analyze a semi-explicit time discretization scheme of first order for poro\-elasticity with nonlinear permeability provided that the elasticity model and the flow equation are o…
Singular perturbation results for linear partial differential-algebraic equations of hyperbolic type
Robert Altmann, Christoph Zimmer
We consider constrained partial differential equations of hyperbolic type with a small parameter , which turn parabolic in the limit case, i.e., for .…