2 citations · 5 across the 13 of their papers we have counts for
19 papers · 1 filter
Structure-preserving Lagrange-multiplier methods for mean curvature flow and their error bounds
Balázs Kovács, Buyang Li, Christian Lubich
We propose and analyze a class of evolving surface finite element methods for mean curvature flow of closed surfaces using Lagrange multipliers for preserving the energy-decreasing…
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces
Charles M. Elliott, Harald Garcke, Balázs Kovács
An evolving surface finite element discretisation is analysed for the evolution of a closed two-dimensional surface governed by a system coupling a generalised forced mean curvatur…
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 mean curvature flow in arbitrary codimension
Tim Binz, Balázs Kovács
Optimal-order uniform-in-time -norm error estimates are given for semi- and full discretizations of mean curvature flow of surfaces in arbitrarily high codimension. The propos…
Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems
Balázs Kovács, Buyang Li
Maximal parabolic -regularity of linear parabolic equations on an evolving surface is shown by pulling back the problem to the initial surface and studying the maximal -r…
Time-dependent electromagnetic scattering from thin layers
Jörg Nick, Balázs Kovács, Christian Lubich
The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which…
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…
Stability and error estimates for non-linear Cahn-Hilliard-type equations on evolving surfaces
Cedric Aaron Beschle, Balázs Kovács
In this paper, we consider a non-linear fourth-order evolution equation of Cahn-Hilliard-type on evolving surfaces with prescribed velocity, where the non-linear terms are only ass…
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…
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…
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
Balázs Kovács, Buyang Li, Christian Lubich
A proof of convergence is given for semi- and full discretizations of mean curvature flow of closed two-dimensional surfaces. The numerical method proposed and studied here combine…
Discrete maximum principles for nonlinear elliptic finite element problems on Riemannian manifolds with boundary
János Karátson, Balázs Kovács, Sergey Korotov
The maximum principle forms an important qualitative property of second order elliptic equations, therefore its discrete analogues, the so-called discrete maximum principles (DMPs)…
Maximum norm stability and error estimates for the evolving surface finite element method
Balázs Kovács, Chrisitan Andreas Power Guerra
We show convergence in the natural - and -norm for a semidiscretization with linear finite elements of a linear parabolic partial differential equations o…
Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces
Balázs Kovács, Christian Andreas Power Guerra
Convergence results are shown for full discretizations of quasilinear parabolic partial differential equations on evolving surfaces. As a semidiscretization in space the evolving s…
Numerical analysis of parabolic problems with dynamic boundary conditions
Balázs Kovács, Christian Lubich
Space and time discretizations of parabolic differential equations with dynamic boundary conditions are studied in a weak formulation that fits into the standard abstract formulati…
Higher-order time discretizations with ALE finite elements for parabolic problems on evolving surfaces
Balázs Kovács, Christian Andreas Power Guerra
A linear evolving surface partial differential equation is first discretized in space by an arbitrary Lagrangian Eulerian (ALE) evolving surface finite element method, and then in…