Divergence-Free Kernel Methods for Approximating the Stokes Problem
β Scribed by Wendland, Holger
- Book ID
- 118182616
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2009
- Tongue
- English
- Weight
- 404 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0036-1429
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π SIMILAR VOLUMES
The mixed finite element approximation scheme with divergence augmentation for the Stokes problem is analyzed. We show that the Pk+l --Pk-1 triangular elements or the Qk+l -Qk-1 quadrilateral elements in R 2, k > 1, are stable with h k+l/2 convergence in HI-norm for velocity and h k convergence in L
The present study aims to develop a new formulation to effectively calculate the incompressible Navier-Stokes solutions in non-staggered grids. The distinguished feature of the proposed method, which avoids directly solving the divergence-free equation, is to add a rigorously derived source term to