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
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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…
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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…
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Symmetric Interior Penalty Galerkin Method for Elliptic Problems
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Short Note: An explicit expression for the penalty parameter of the interior penalty method
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Technical Note: A note on the selection of the penalty parameter for discontinuous Galerkin finite element schemes
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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
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Optimal convergence estimates for the trace of the polynomial L2-projection operator on a simplex
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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
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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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From the Publisher:
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