Recovering SUPG using Petrov–Galerkin formulations enriched with adjoint residual-free bubbles
✍ Scribed by L.P. Franca; A. Russo
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 113 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
We consider conforming Petrov±Galerkin formulations for the advective and advective±diusive equations. For the linear hyperbolic equation, the continuous formulation is set up using dierent spaces and the discretization follows with dierent ``bubble'' enrichments for the test and trial spaces. Boundary conditions for residual-free bubbles are modi®ed to accommodate with the ®rstorder equation case and regular bubbles are used to enrich the other space. Using piecewise linears with these enrichments, the ®nal formulations are shown to be equivalent to the SUPG method, provided the data are assumed to be piecewise constant. Generalization to include diusion is also presented.