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math.NA2019
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…
math.NA2019
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…
math.NA2019★ 1 cited
Finite element error analysis of wave equations with dynamic boundary conditions: estimates
David Hipp, Balázs Kovács
norm error estimates of semi- and full discretisations, using bulk--surface finite elements and Runge--Kutta methods, of wave equations with dynamic boundary conditions are s…