Geodesic
The strengthened C.B.S. inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions
Applications of Mathematics, Tome 50 (2005) no. 3, pp. 323-329.

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We estimate the constant in the strengthened Cauchy-Bunyakowski-Schwarz inequality for hierarchical bilinear finite element spaces and elliptic partial differential equations with coefficients corresponding to anisotropy (orthotropy). It is shown that there is a nontrivial universal estimate, which does not depend on anisotropy. Moreover, this estimate is sharp and the same as for hierarchical linear finite element spaces.
DOI : 10.1007/s10492-005-0020-4
Classification : 65N12, 65N22, 65N30, 74S05
Mots-clés : Cauchy-Bunyakowski-Schwarz inequality; multilevel preconditioning; elliptic partial differential equation 
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     title = {The strengthened {C.B.S.} inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions},
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Pultarová, Ivana. The strengthened C.B.S. inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions. Applications of Mathematics, Tome 50 (2005) no. 3, pp. 323-329. doi : 10.1007/s10492-005-0020-4. https://geodesic-test.mathdoc.fr/articles/10.1007/s10492-005-0020-4/

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