On the constants in hp-finite element trace inverse inequalities
β Scribed by T. Warburton; J.S. Hesthaven
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 123 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0045-7825
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β¦ Synopsis
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.
π SIMILAR VOLUMES
## An additive form of the Landau inequality for is proved for 0<c (cos(?Γ2n)) &2 , 1 m n&1, with equality for , where T n is the Chebyshev polynomial. From this follows a sharp multiplicative inequality, For these values of \_, the result confirms Karlin's conjecture on the Landau inequality f
For a class of two-dimensional boundary value problems including diffusion and elasticity problems, it is proved that the constants in the corresponding strengthened Cauchy-Buniakowski-Schwarz (CBS) inequality in the cases of two-level hierarchical piecewise-linear/piecewise-linear and piecewise-lin