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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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
Keywords: 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},
     journal = {Applications of Mathematics},
     pages = {323--329},
     year = {2005},
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     zbl = {1099.65102},
     language = {en},
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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

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