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Estimation of penalty parameters for symmetric interior penalty Galerkin methods
- Source :
-
Journal of Computational & Applied Mathematics . Sep2007, Vol. 206 Issue 2, p843-872. 30p. - Publication Year :
- 2007
-
Abstract
- Abstract: This paper presents computable lower bounds of the penalty parameters for stable and convergent symmetric interior penalty Galerkin methods. In particular, we derive the explicit dependence of the coercivity constants with respect to the polynomial degree and the angles of the mesh elements. Numerical examples in all dimensions and for different polynomial degrees are presented. We show the numerical effects of loss of coercivity. [Copyright &y& Elsevier]
- Subjects :
- *GALERKIN methods
*NUMERICAL analysis
*MATHEMATICAL analysis
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 206
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 25320351
- Full Text :
- https://doi.org/10.1016/j.cam.2006.08.029