The strengthened C.B.S. inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions

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...

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Bibliographic Details
Published inApplications of mathematics (Prague) Vol. 50; no. 3; pp. 323 - 329
Main Author Pultarova, Ivana
Format Journal Article
LanguageEnglish
Published Prague Springer Nature B.V 01.06.2005
Subjects
Anisotropy
Applications of mathematics
Estimates
Finite element analysis
Finite element method
Inequalities
Mathematical analysis
Operators
Orthotropy
Partial differential equations
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ISSN0862-7940
1572-9109
DOI10.1007/s10492-005-0020-4

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Summary: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.
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ISSN:0862-7940
1572-9109
DOI:10.1007/s10492-005-0020-4