A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations
✍ Scribed by Knobloch, Petr
- Book ID
- 118182010
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2010
- Tongue
- English
- Weight
- 473 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0036-1429
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📜 SIMILAR VOLUMES
## a b s t r a c t We consider the one-level approach of the local projection stabilization (LPS) for solving a singularly perturbed advection-diffusion two-point boundary value problem. Eliminating the enrichments we end up with the differentiated residual method (DRM) which coincides for piecewis
We investigate stabilized Galerkin approximations of linear and nonlinear convection-diffusion-reaction equations. We derive nonlinear streamline and cross-wind diffusion methods that guarantee a discrete maximum principle for strictly acute meshes and first order polynomial interpolation. For pure
## 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
A stabilized ®nite element method for solving systems of convection±diusion-reaction equations is studied in this paper. The method is based on the subgrid scale approach and an algebraic approximation to the subscales. After presenting the formulation of the method, it is analyzed how it behaves un