A Multipoint Flux Approximation Finite Volume Scheme for Solving Anisotropic Reaction–Diffusion Systems in 3D

2011 ◽  
pp. 741-749
Author(s):  
Pavel Strachota ◽  
Michal Beneš
Keyword(s):  
Finite Volume ◽  
Reaction Diffusion ◽  
Finite Volume Scheme ◽  
Reaction Diffusion Systems ◽  
Volume Scheme ◽  
Diffusion Systems ◽  
Flux Approximation ◽  
Anisotropic Reaction Diffusion

scholarly journals Stratified Spatiotemporal Chaos in Anisotropic Reaction-Diffusion Systems

1999 ◽  
Vol 83 (13) ◽  
pp. 2664-2667 ◽  
Author(s):  
Markus Bär ◽  
Aric Hagberg ◽  
Ehud Meron ◽  
Uwe Thiele
Keyword(s):  
Reaction Diffusion ◽  
Spatiotemporal Chaos ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Anisotropic Reaction Diffusion

scholarly journals Stereo Algorithm with Anisotropic Reaction-Diffusion Systems

10.5772/46025 ◽  
2012 ◽  
Author(s):  
Atsushi Nomura ◽  
Koichi Okada ◽  
Hidetoshi Miike ◽  
Yoshiki Mizukami ◽  
Makoto Ichikawa ◽  
...  
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Anisotropic Reaction Diffusion ◽  
Stereo Algorithm

scholarly journals Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms

2020 ◽  
Author(s):  
Esther S Daus ◽  
Ansgar Jüngel ◽  
Antoine Zurek
Keyword(s):  
Finite Volume ◽  
System Modeling ◽  
Gradient Flow ◽  
Continuous Model ◽  
Diffusion System ◽  
Finite Volume Scheme ◽  
Biofilm Growth ◽  
Volume Scheme ◽  
Cross Diffusion ◽  
Flux Approximation

Abstract 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.

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