[HTML][HTML] Estimation of penalty parameters for symmetric interior penalty Galerkin methods
Y Epshteyn, B Rivière - Journal of Computational and Applied Mathematics, 2007 - Elsevier
Journal of Computational and Applied Mathematics, 2007•Elsevier
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.
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.
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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