Explicit error estimates for difference schemes solving the stationary constant coefficient diffusionconvectionreaction equation
Abstract
Some difference schemes for the cited (stationary) equation are considered and their accuracy is estimated by known quantities only. The results are useful for any Peclet number and imply uniform convergence (with respect to a small diffusion coefficient) up to forth order in h in the linear case and of first order in the mildly nonlinear case.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 1984
 DOI:
 10.1002/zamm.19840640306
 Bibcode:
 1984ZaMM...64..173S
 Keywords:

 Boundary Value Problems;
 Computational Fluid Dynamics;
 Convective Flow;
 Diffusion Coefficient;
 Error Analysis;
 Finite Difference Theory;
 Adjoints;
 Estimates;
 Green'S Functions;
 Nonlinear Equations;
 Numerical Stability;
 Peclet Number;
 Ritz Averaging Method;
 Fluid Mechanics and Heat Transfer