5 papers · 1 filter
Second-order bulk-surface splitting for the wave equation with kinetic boundary conditions
R. Altmann, R. Morandin
This paper is devoted to the numerical analysis of a second-order bulk--surface splitting scheme for the semi-linear wave equation with kinetic boundary conditions. The constructio…
Decoupling Runge-Kutta schemes for elliptic-parabolic problems
Robert Altmann, Abdullah Mujahid, Benjamin Unger
We study the construction and convergence of semi-explicit and iterative decoupling schemes for an elliptic-parabolic problem using higher-order Runge-Kutta methods. For the semi-e…
Decoupling multistep schemes for elliptic-parabolic problems
Robert Altmann, Abdullah Mujahid, Benjamin Unger
We study the construction and convergence of decoupling multistep schemes of higher order using the backward differentiation formulae for an elliptic-parabolic problem, which inclu…
Higher-order iterative decoupling for poroelasticity
Robert Altmann, Abdullah Mujahid, Benjamin Unger
For the iterative decoupling of elliptic-parabolic problems such as poroelasticity, we introduce time discretization schemes up to order based on the backward differentiation f…
A second-order iterative time integration scheme for linear poroelasticity
R. Altmann, M. Deiml
We propose a novel time stepping method for linear poroelasticity by extending a recent iterative decoupling approach to the second-order case. This results in a two-step scheme wi…