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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…
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…
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…
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…