Graded Galerkin methods for the high-order convection-diffusion problem
β Scribed by Song-Tao Liu; Yuesheng Xu
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 190 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0749-159X
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π SIMILAR VOLUMES
The Petrov-Galerkin method is applied to transient convective diffusion problems with convection dominance. Weighting functions are used which differ from the shape functions by both symmetric and non-symmetric modifications. It is proved that the symmetric modifications largely influence the accura
A proof of high-order convergence of three deterministic particle methods for the convectiondiffusion equation in two dimensions is presented. The methods are based on discretizations of an integro-differential equation in which an integral operator approximates the diffusion operator. The methods d
## Abstract In this work, a stable PetrovβGalerkin formulation is combined with an __hp__βadaptive refinement strategy. The stability engendered by this formulation allows the use of high interpolation element order in regions with steep gradients. The new __hp__βadaptive strategy, originally propo