Geodesic
Numerical analysis of Stokes equations with improved LBB dependency
Electronic transactions on numerical analysis, Tome 32 (2008), pp. 173-189.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We provide a-priori bounds with improved domain dependency for the solution of Stokes equations and the numerical error of an approximation by conforming finite element methods. The domain dependency appears primarily in terms of the LBB-constant , and several previous works have shown that degenerates with the aspect $\sterling \sterling $ratio of the domain. We explain the LBB dependency of common a-priori bounds on and and improve most $$#############$$ § of these estimates by avoiding a global inf-sup condition and assuming $locally-balanced flow$, which is in particular satisfied if . In this case, all error bounds on and , except for prove to be $\ddot \copyright $###### §§ !§"§ $#\\%('0)2123 completely independent of .$
Classification : 65N30, 76D07
Keywords: LBB-constant, inf-sup condition, Stokes equations, a-priori estimates, finite elements 
@article{ETNA_2008__32__a1,
     author = {Wohlmuth, M. and Dobrowolski, M.},
     title = {Numerical analysis of {Stokes} equations with improved {LBB} dependency},
     journal = {Electronic transactions on numerical analysis},
     pages = {173--189},
     publisher = {mathdoc},
     volume = {32},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__32__a1/}
}
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%A Dobrowolski, M.
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Wohlmuth, M.; Dobrowolski, M. Numerical analysis of Stokes equations with improved LBB dependency. Electronic transactions on numerical analysis, Tome 32 (2008), pp. 173-189. http://geodesic.mathdoc.fr/item/ETNA_2008__32__a1/