Accuracy and Stability of the Petrov–Galerkin Method for Solving the Stationary Convection-Diffusion Equation
✍ Scribed by Siryk, S. V.
- Book ID
- 121528154
- Publisher
- Springer US
- Year
- 2014
- Tongue
- English
- Weight
- 147 KB
- Volume
- 50
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
A new stabilized and accurate finite element formulation for convection-dominated problems is herein developed. The basis of the new formulation is the choice of a new upwind function. The upwind function chosen for the new method provokes its degeneration into the SUPG or CAU methods, depending on
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