The strengthened C.B.S. inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions
Applications of Mathematics (2005)
- Volume: 50, Issue: 3, page 323-329
- ISSN: 0862-7940
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topPultarová, 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 50.3 (2005): 323-329. <http://eudml.org/doc/33224>.
@article{Pultarová2005,
abstract = {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.},
author = {Pultarová, Ivana},
journal = {Applications of Mathematics},
keywords = {Cauchy-Bunyakowski-Schwarz inequality; multilevel preconditioning; elliptic partial differential equation; Cauchy-Bunyakowski-Schwarz inequality; multilevel preconditioning},
language = {eng},
number = {3},
pages = {323-329},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The strengthened C.B.S. inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions},
url = {http://eudml.org/doc/33224},
volume = {50},
year = {2005},
}
TY - JOUR
AU - Pultarová, Ivana
TI - The strengthened C.B.S. inequality constant for second order elliptic partial differential operator and for hierarchical bilinear finite element functions
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 3
SP - 323
EP - 329
AB - 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.
LA - eng
KW - Cauchy-Bunyakowski-Schwarz inequality; multilevel preconditioning; elliptic partial differential equation; Cauchy-Bunyakowski-Schwarz inequality; multilevel preconditioning
UR - http://eudml.org/doc/33224
ER -
References
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- Two simple derivations of universal bounds for the C.B.S. inequality constant, Applications of Mathematics (to appear). (to appear) MR2032148
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