21 citations · 21 across the 16 of their papers we have counts for
22 papers
A posteriori error estimation for parabolic problems with dynamic boundary conditions
Robert Altmann, Christoph Zimmer
This paper is concerned with adaptive mesh refinement strategies for the spatial discretization of parabolic problems with dynamic boundary conditions. This includes the characteri…
A second-order bulk--surface splitting for parabolic problems with dynamic boundary conditions
R. Altmann, C. Zimmer
This paper introduces a novel approach for the construction of bulk--surface splitting schemes for semi-linear parabolic partial differential equations with dynamic boundary condit…
Dissipation-preserving discretization of the Cahn--Hilliard equation with dynamic boundary conditions
R. Altmann, C. Zimmer
This paper deals with time stepping schemes for the Cahn--Hilliard equation with three different types of dynamic boundary conditions. The proposed schemes of first and second orde…
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…