activity
20222026
most citedError analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates

1 citations · 1 across the 6 of their papers we have counts for

collaborators

7 papers

math.NA2026

FEM: An efficient loop-free Matlab implementation of isoparametric bulk and surface finite elements

Balázs Kovács, Michael Lantelme

The FEM MATLAB package provides a simple, efficient, and flexible implementation of isoparametric finite elements in bulk domains and on surfaces. The finite element matrix a…

math.NA2024

Maximal regularity of evolving FEMs for parabolic equations on an evolving surface

Genming Bai, Balázs Kovács, Buyang Li

In this paper, we prove that spatially semi-discrete evolving finite element method for parabolic equations on a given evolving hypersurface of arbitrary dimensions preserves the m…

math.NA2024

Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions

Nils Bullerjahn, Balázs Kovács

A proof of optimal-order error estimates is given for the full discretization of the Cahn--Hilliard equation with Cahn--Hilliard-type dynamic boundary conditions in a smooth domain…

math.NA2024

A posteriori error estimates for parabolic partial differential equations on stationary surfaces

Balázs Kovács, Michael Lantelme

This paper develops and discusses a residual-based a posteriori error estimator for parabolic surface partial differential equations on closed stationary surfaces. The full discret…

math.NA2024

Numerical analysis of an evolving bulk--surface model of tumour growth

Dominik Edelmann, Balázs Kovács, Christian Lubich

This paper studies an evolving bulk--surface finite element method for a model of tissue growth, which is a modification of the model of Eyles, King and Styles (2019). The model co…

math.NA2023★ 1 cited

Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates

Alessandro Contri, Balázs Kovács, André Massing

We present a new stability and error analysis of fully discrete approximation schemes for the transient Stokes equation. For the spatial discretization, we consider a wide class of…

math.NA2022

Numerical surgery for mean curvature flow of surfaces

Balázs Kovács

A numerical algorithm for mean curvature flow of closed mean convex surfaces with surgery is proposed. The method uses a finite element based mean curvature flow algorithm based on…