1 citations · 1 across the 2 of their papers we have counts for
8 papers
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…
A convergent finite element algorithm for generalized mean curvature flows of closed surfaces
Tim Binz, Balázs Kovács
An algorithm is proposed for generalized mean curvature flow of closed two-dimensional surfaces, which include inverse mean curvature flow, powers of mean and inverse mean curvatur…
A convergent evolving finite element algorithm for Willmore flow of closed surfaces
Balázs Kovács, Buyang Li, Christian Lubich
A proof of convergence is given for a novel evolving surface finite element semi-discretization of Willmore flow of closed two-dimensional surfaces, and also of surface diffusion f…
Error estimates for the Cahn--Hilliard equation with dynamic boundary conditions
Paula Harder, Balázs Kovács
A proof of convergence is given for bulk--surface finite element semi-discretisation of the Cahn--Hilliard equation with Cahn--Hilliard-type dynamic boundary conditions in a smooth…
A convergent algorithm for forced mean curvature flow driven by diffusion on the surface
Balázs Kovács, Buyang Li, Christian Lubich
The evolution of a closed two-dimensional surface driven by both mean curvature flow and a reaction--diffusion process on the surface is formulated into a system, which couples the…
Higher-order linearly implicit full discretization of the Landau--Lifshitz--Gilbert equation
Georgios Akrivis, Michael Feischl, Balázs Kovács +1
For the Landau--Lifshitz--Gilbert (LLG) equation of micromagnetics we study linearly implicit backward difference formula (BDF) time discretizations up to order combined with h…