DeepAI AI Chat
Log In Sign Up

On algebraically stabilized schemes for convection-diffusion-reaction problems

by   Volker John, et al.
Weierstrass Institute
Charles University in Prague

An abstract framework is developed that enables the analysis of algebraically stabilized discretizations in a unified way. This framework is applied to a discretization of this kind for convection-diffusion-reaction equations. The definition of this scheme contains a new limiter that improves a standard one in such a way that local and global discrete maximum principles are satisfied on arbitrary simplicial meshes.


page 1

page 2

page 3

page 4


An ADI Scheme for Two-sided Fractional Reaction-Diffusion Equations and Applications to an Epidemic Model

Reaction-diffusion equations are often used in epidemiological models. I...

Analysis of Flux Corrected Transport Schemes for Evolutionary Convection-Diffusion-Reaction Equations

We report in this paper the analysis for the linear and nonlinear versio...

FCNN: Five-point stencil CNN for solving reaction-diffusion equations

In this paper, we propose Five-point stencil CNN (FCNN) containing a fiv...

Efficient discretization and preconditioning of the singularly perturbed Reaction Diffusion problem

We consider the reaction diffusion problem and present efficient ways to...

Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations

We construct, analyse and assess various schemes of second order of accu...

Importance sampling for stochastic reaction-diffusion equations in the moderate deviation regime

We develop a provably efficient importance sampling scheme that estimate...