## Abstract A new finite element method is proposed and analysed for second order elliptic equations using discontinuous piecewise polynomials on a finite element partition consisting of general polygons. The new method is based on a stabilization of the well‐known primal hybrid formulation by usin
A new stabilized finite element method for reaction–diffusion problems: The source-stabilized Petrov–Galerkin method
✍ Scribed by F. Ilinca; J.-F. Hétu
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 628 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0029-5981
- DOI
- 10.1002/nme.2324
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📜 SIMILAR VOLUMES
We formulate a higher-order (superconvergent) Petrov-Galerkin method by determining, using a finitedifference approximation, the optimal selection of quadratic and cubic modifications to the standard linear test function for bilinear elements. Application of this method to linear elliptic problems r
The objective of this paper is twofold. First, a stabilized finite element method (FEM) for the incompressible Navier-Stokes is presented and several numerical experiments are conducted to check its performance. This method is capable of dealing with all the instabilities that the standard Galerkin