On the constants in hp-finite element trace inverse inequalities
نویسنده
چکیده
We derive inverse trace inequalities for hp-finite elements. Utilizing orthogonal polynomials, we show how to derive explicit expressions for the constants when considering triangular and tetrahedral elements. We also discuss how to generalize this technique to the general d-simplex. 2003 Elsevier Science B.V. All rights reserved.
منابع مشابه
On the Constants in hp-Finite Element Inverse Inequalities
We derive trace inverse inequalities for hp-finite elements. Utilizing orthogonal polynomials, we show how to derive explicit expressions for the constants when considering triangular and tetrahedral elements. We also discuss how to generalize this technique to the general d-simplex.
متن کاملOn the Constants in hp-Finite Element Trace Inequalities
We derive trace inequalities for hpnite elements. Utilizing orthogonal polynomials, we show how to derive explicit expressions for the constants when considering triangular and tetrahedral elements. We also discuss how to generalize this technique to the general d-simplex.
متن کاملOn the constants in some inverse inequalities for finite element functions
We determine the constants in some inverse inequalities for finite element functions. These constants are crucial for the correct calibration of a posteriori error estimators. Résumé: Pour deséléments finis on calcule les constantes dans certaines inégalités inverses. Cettes constantes sont importantes pour l'´ etalonnage des estimateurs d'erreur a posteriori.
متن کاملInverse-type estimates on hp-finite element spaces and applications
This work is concerned with the development of inverse-type inequalities for piecewise polynomial functions and, in particular, functions belonging to hp-finite element spaces. The cases of positive and negative Sobolev norms are considered for both continuous and discontinuous finite element functions.The inequalities are explicit both in the local polynomial degree and the local mesh size.The...
متن کاملCONTINUOUS INTERIOR PENALTY hp-FINITE ELEMENT METHODS FOR TRANSPORT OPERATORS
A continuous interior penalty hp-finite element method that penalizes the jump of the discrete solution across mesh interfaces is introduced. Error estimates are obtained for first-order and advection-dominated transport operators. The analysis relies on three technical results that are of independent interest: an hp-inverse trace inequality, a local discontinuous to continuous hp-interpolation...
متن کامل