A multi-dimensional monotonic finite element model for solving the convection-diffusion-reaction equation

International Journal for Numerical Methods in Fluids

Volumn 39, Issue 7, 2002, Pages 639-656

  Sheu, Tony W H ^a   Chen, Harry Y H ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Convection diffusion reaction equation; M matrix theory; Monotonic; Petrov galerkin formulation; Two dimensions

Indexed keywords

CONVECTIVE STABILITY;

DERIVATIVES; DIFFUSION; FINITE ELEMENT METHOD; GALERKIN METHODS; MATRIX ALGEBRA; OSCILLATIONS; REACTION KINETICS;

FLUID MECHANICS;

CHEMICAL REACTION; CONVECTION-DIFFUSION EQUATION; FINITE ELEMENT METHOD;

EID: 0037054994     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.351     Document Type: Article

References (19)

1. Positivity preservation and adaptive solution for the k-ε model of turbulence
2. Monotone scheme and boundary conditions for finite volume simulation of magnetohydrodynamic internal flows at high Hartmann number
3. Finite element methods for the Helmholtz equation in an exterior domain: Model problems
4. Numerical correction of finite difference solution of the advection-dispersion equation with reaction
5. Modeling advective-dispersive transport with reaction: An accurate explicit finite difference model
6. On Galerkin models for transport in groundwater
7. Stabilized finite element methods for steady advection-diffusion with production
8. A Petrov-Galerkin formulation for advection-reaction-diffusion problems
9. Discontinuity capturing finite element formulations for nonlinear convection-diffusion-reaction equations
10. A chock-capturing anisotropic diffusion for the finite element solution of the diffusion-convection-reaction equation
11. Comparison of some finite element methods for solving the diffusion-convection-reaction equation
12. The modified equation approach to the stability and accuracy analysis of finite-difference methods
13. A multi-dimensional upwind scheme with no crosswind diffusion
14. Numerical solution of partial differential equations
15. Numerical methods on shishkin meshes for linear convection-diffusion problems