Petrov—Galerkin method for multidimensional, time-dependent, convective-diffusion equations
✍ Scribed by C.-C. Yu; J. C. Heinrich
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 859 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
📜 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
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
A multilevel Petrov-Galerkin (PG) finite element method to accurately solve the one-dimensional convection-diffusion equation is presented. In this method, the weight functions are different from the basis functions and they are calculated from simple algebraic recursion relations. The basis for the
## Abstract In this work, a stable Petrov–Galerkin formulation is combined with an __hp__‐adaptive refinement strategy. The stability engendered by this formulation allows the use of high interpolation element order in regions with steep gradients. The new __hp__‐adaptive strategy, originally propo