A Petrov-Galerkin spectral method for fourth-order problems
✍ Scribed by Sun, Tao; Yi, Lijun
- Book ID
- 120980669
- Publisher
- John Wiley and Sons
- Year
- 2013
- Tongue
- English
- Weight
- 311 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.2973
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📜 SIMILAR VOLUMES
In this paper, a new Petrov-Galerkin formulation for solving convection-dominated problems is presented. The method developed achieves the quasi-optimal convergence rates when the solution is regular and provides the necessary stability to avoid spurious oscillations when strong gradients are presen
We propose a novel discontinuous mixed finite element formulation for the solution of second-order elliptic problems. Fully discontinuous piecewise polynomial finite element spaces are used for the trial and test functions. The discontinuous nature of the test functions at the element interfaces all