Discretization and Iterative Solution of Convection Diffusion Equations.
Please always quote using this URN: urn:nbn:de:0297-zib-762
- We propose an extended box method which turns out to be a variant of standard finite element methods in the case of pure diffusion and an extension of backward differencing to irregular grids if only convective transport is present. Together with the adaptive orientation proposed in a recent paper and a streamline ordering of the unknowns, this discretization leads to a highly efficient adaptive method for the approximation of internal layers in the case of large local Peclet numbers.
| Author: | Ralf Kornhuber, Gabriel Wittum |
|---|---|
| Document Type: | ZIB-Report |
| Date of first Publication: | 1992/04/01 |
| Series (Serial Number): | ZIB-Report (SC-92-06) |
| ZIB-Reportnumber: | SC-92-06 |
| Published in: | Appeared in: W. Hackbusch, G. Wittum (eds.) Incomplete Decompositions (ILU) - Algorithms, Theory and Applications. Vieweg, Braunschweig, 1993, Notes on Numerical Fluid Mechanics, Vol. 41, pp. 67-77 |
