Zobrazeno 1 - 10
of 278
pro vyhledávání: '"Kovacs, Balázs"'
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 maximal $L^p$-regularity at the discrete level. We first establish the
Externí odkaz:
http://arxiv.org/abs/2408.14096
Autor:
Bullerjahn, Nils, Kovács, Balázs
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. The numerical method combines a linear bulk--surface finite element
Externí odkaz:
http://arxiv.org/abs/2407.20698
Autor:
Kovács, Balázs, Lantelme, Michael
This paper develops and discusses a residual-based a posteriori error estimate and a space--time adaptive algorithm for solving parabolic surface partial differential equations on closed stationary surfaces. The full discretization uses the surface f
Externí odkaz:
http://arxiv.org/abs/2407.02101
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 Galerkin finite element methods which includes both inf-sup stable sp
Externí odkaz:
http://arxiv.org/abs/2312.05511
Autor:
Kovács, Balázs
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 a coupled partial differential equation system which directly provide
Externí odkaz:
http://arxiv.org/abs/2210.14046
An error estimate for a canonical discretization of the harmonic map heat flow into spheres is derived. The numerical scheme uses standard finite elements with a nodal treatment of linearized unit-length constraints. The analysis is based on elementa
Externí odkaz:
http://arxiv.org/abs/2208.08267
Publikováno v:
Math. Models Methods Appl. Sci. Vol. 32, No. 13, pp. 2673-2758 (2022)
We introduce a new phase field model for tumour growth where viscoelastic effects are taken into account. The model is derived from basic thermodynamical principles and consists of a convected Cahn--Hilliard equation with source terms for the tumour
Externí odkaz:
http://arxiv.org/abs/2204.04147
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 curvature flow and a reaction--diffusion process on the surface, inspired by a
Externí odkaz:
http://arxiv.org/abs/2202.03302
We derive a numerical method, based on operator splitting, to abstract parabolic semilinear boundary coupled systems. The method decouples the linear components which describe the coupling and the dynamics in the bulk and on the surface, and treats t
Externí odkaz:
http://arxiv.org/abs/2112.10601
This paper studies bulk-surface splitting methods of first order for (semi-linear) parabolic partial differential equations with dynamic boundary conditions. The proposed Lie splitting scheme is based on a reformulation of the problem as a coupled pa
Externí odkaz:
http://arxiv.org/abs/2108.08147