Estimation of penalty parameters for symmetric interior penalty Galerkin methods |
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Authors: | Yekaterina Epshteyn,Bé atrice Riviè re |
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Affiliation: | Department of Mathematics, University of Pittsburgh, 301 Thackeray, Pittsburgh, PA 15260, USA |
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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. |
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Keywords: | 65N30 65N12 |
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