Geodesic
Two simple derivations of universal bounds for the C.B.S. inequality constant
Applications of Mathematics, Tome 49 (2004) no. 1, pp. 57-72.

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Universal bounds for the constant in the strengthened Cauchy-Bunyakowski-Schwarz inequality for piecewise linear-linear and piecewise quadratic-linear finite element spaces in 2 space dimensions are derived. The bounds hold for arbitrary shaped triangles, or equivalently, arbitrary matrix coefficients for both the scalar diffusion problems and the elasticity theory equations.
DOI : 10.1023/B:APOM.0000024520.06175.8b
Classification : 65F10, 65N22, 65N30
Keywords: finite element method; $h$- and $p$-refinement; strengthened Cauchy-Bunyakowski-Schwarz inequality 
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Axelsson, Owe; Blaheta, Radim. Two simple derivations of universal bounds for the C.B.S. inequality constant. Applications of Mathematics, Tome 49 (2004) no. 1, pp. 57-72. doi : 10.1023/B:APOM.0000024520.06175.8b. http://geodesic.mathdoc.fr/articles/10.1023/B:APOM.0000024520.06175.8b/

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