# On the constants in hp-finite element trace inverse inequalities

@article{Warburton2003OnTC, title={On the constants in hp-finite element trace inverse inequalities}, author={Tim Warburton and Jan S. Hesthaven}, journal={Computer Methods in Applied Mechanics and Engineering}, year={2003}, volume={192}, pages={2765-2773} }

## 214 Citations

ESTIMATIONS OF THE CONSTANTS IN INVERSE INEQUALITIES FOR FINITE ELEMENT FUNCTIONS

- Mathematics
- 2013

In this paper, we estimate the constants in the inverse inequalities for the nite element functions. Furthermore, we obtain the least upper bounds of the constants in inverse inequalities for the…

On the Constants in Inverse Inequalities in L 2

- Mathematics
- 2010

In this paper we determine the constants in multivariate Markov inequalities in the L2-norm on an interval, a triangle and a tetrahedron. Using orthonormal polynomials, we derive explicit expression…

Explicit trace inequalities for isogeometric analysis and parametric hexahedral finite elements

- Mathematics, Computer ScienceNumerische Mathematik
- 2013

This paper derives new trace inequalities for NURBS-mapped domains with Sobolev-type inequalities, and compares the bounding constants appearing in the explicit trace inequalities with numerically computed optimalbounding constants.

Symmetric Interior Penalty Galerkin Method for Elliptic Problems

- Mathematics, Computer Science

Computable lower bounds of the penalty parameters for stable and convergent symmetric interior penalty Galerkin methods are presented and the explicit dependence of the coercivity constants with respect to the polynomial degree and the angles of the mesh elements is derived.

Short Note: An explicit expression for the penalty parameter of the interior penalty method

- Mathematics
- 2005

Technical Note: A note on the selection of the penalty parameter for discontinuous Galerkin finite element schemes

- Computer Science, Mathematics
- 2012

We obtain a computable lower bound on the value of the interior penalty parameters sufficient for the existence of a unique discontinuous Galerkin finite element approximation of a second order…

Estimation of penalty parameters for symmetric interior penalty Galerkin methods

- Mathematics, Computer Science
- 2007

Optimal convergence estimates for the trace of the polynomial L2-projection operator on a simplex

- MathematicsMath. Comput.
- 2012

Convergence of the L2-projection onto the space of polynomials up to degree p on a simplex in Rd, d >= 2.5 is studied.

Continuous Interior Penalty hp-Finite Element Methods for Transport Operators

- Mathematics
- 2006

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…

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