In modern numerical simulation of prospecting and exploiting oil-gas resources and in environmental science, it is necessary to consider numerical method of nonlinear convection-dominated diffusion problems. This thesis, starting from actual conditions such as the three-dimensional characteristics o
The finite element method with nodes moving along the characteristics for convection-diffusion equations
✍ Scribed by Y. Tourigny; E. Süli
- Publisher
- Springer-Verlag
- Year
- 1991
- Tongue
- English
- Weight
- 546 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0029-599X
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📜 SIMILAR VOLUMES
## a b s t r a c t We consider implicit and semi-implicit time-stepping methods for finite element approximations of singularly perturbed parabolic problems or hyperbolic problems. We are interested in problems where the advection dominates and stability is obtained using a symmetric, weakly consis
We study convergence properties of a numerical method for convection-diffusion problems with characteristic layers on a layer-adapted mesh. The method couples standard Galerkin with an h-version of the nonsymmetric discontinuous Galerkin finite element method with bilinear elements. In an associated
In modern numerical simulation of prospecting and exploiting oil-gas resources and environmental science, it is important to consider a numerical method for nonlinear convection-dominated diffusion problems. Based on actual conditions, such as the three-dimensional characteristics of large-scale sci