𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On the relationship of local projection
✍ Lutz Tobiska 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 220 KB

## 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

Nonlinear diffusion and discrete maximum
✍ Erik Burman; Alexandre Ern 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 726 KB

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

Finite element methods with symmetric st
✍ Erik Burman; Miguel A. Fernández 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 855 KB

## 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

On stabilized finite element methods for
✍ Ramon Codina 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 727 KB

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