We investigate stabilized Galerkin approximations of linear and nonlinear convection-diffusion-reaction equations. We derive nonlinear streamline and cross-wind diffusion methods that guarantee a discrete maximum principle for strictly acute meshes and first order polynomial interpolation. For pure
Direct simulation of the infinitesimal dynamics of semi-discrete approximations for convection–diffusion–reaction problems
✍ Scribed by Flavius Guiaş
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 784 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0378-4754
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper provides a sufficient condition for the discrete maximum principle for a fully discrete linear simplicial finite element discretization of a reaction-diffusion problem to hold. It explicitly bounds the dihedral angles and heights of simplices in the finite element partition in terms of th
## Abstract We propose and analyze in this paper a numerical scheme for nonlinear degenerate parabolic convection–diffusion–reaction equations in two or three space dimensions. We discretize the time evolution, convection, reaction, and source terms on a given grid, which can be nonmatching and can