Parallel characteristic finite difference method for convection–diffusion equations
✍ Scribed by Jiansong Zhang; Danping Yang
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 329 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0749-159X
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✦ Synopsis
Based on the overlapping domain decomposition, an efficient parallel characteristic finite difference scheme is proposed for solving convection-diffusion equations numerically. We give the optimal convergence order in error estimate analysis, which shows that we just need to iterate once or twice at each time level to reach the optimal convergence order. Numerical experiments also confirm the theoretical analysis.
📜 SIMILAR VOLUMES
This paper presents a characteristic Galerkin "nite element method with an implicit algorithm for solving multidimensional, time-dependent convection}di!usion equations. The method is formulated on the basis of the combination of both the precise and the implicit numerical integration procedures aim
## Abstract One domain decomposition method modified with characteristic differences is presented for non‐periodic three‐dimensional equations by multiply‐type quadratic interpolation and variant time‐step technique. This method consists of reduced‐scale, two‐dimensional computation on subdomain in
Approximating convection-dominated diffusion equations requires a very accurate scheme for the convection term. The most famous is the method of backward characteristics, which is very precise when a good interpolation procedure is used. However, this method is difficult to implement in 2D or 3D. Th