Publications in Scientific Journals:
E. Daus, A. Jüngel, A. Zurek:
"Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms";
IMA Journal of Numerical Analysis,
An implicit Euler finite-volume scheme for a cross-diffusion system modeling biofilm growth is analyzed
by exploiting its formal gradient-flow structure. The numerical scheme is based on a two-point flux
approximation that preserves the entropy structure of the continuous model. Assuming equal diffusivities
the existence of non-negative and bounded solutions to the scheme and its convergence are proved.
Finally, we supplement the study by numerical experiments in one and two space dimensions.
Siehe englisches Abstract.
biofilm modeling; finite volumes; structure-preserving numerical scheme
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Created from the Publication Database of the Vienna University of Technology.