Artificial boundary conditions for two-dimensional exterior Stokes
problems.
M. Specovius-Neugebauer. Navier-Stokes equations and related nonlinear problems. Proceedings
of the 6th international conference NSEC-6, Palanga, Lithuania, May
22-29, 1997., VSP, Utrecht, (1998)
Abstract
Summary: We consider a family of boundary value problems for the
two-dimensional Stokes system on bounded domains $Ømega_R=Ømega\cap
G_R$. Here $Ømega$ is a domain with a compact complement and $G_R$
a bounded domain which blows up as $R\toınfty$ and contains the
boundary of $Ømega$ in its interior. The main results are uniform
estimates for the solutions on $Ømega_R$, where the dependence on
the parameter $R$ is calculated explicitly. The result is applied
to approximate solutions to the exterior Dirichlet problem for the
Stokes system by solutions on the bounded domains $Ømega_R$. Asymptotically
precise error estimates are derived.
%0 Book Section
%1 Specovius-Neugebauer1998
%A Specovius-Neugebauer, Maria
%B Navier-Stokes equations and related nonlinear problems. Proceedings
of the 6th international conference NSEC-6, Palanga, Lithuania, May
22-29, 1997.
%C Utrecht
%D 1998
%E Amann, H. et al.
%I VSP
%K Dirichlet Stokes error estimates estimates} exterior for problem solutions; system; the {uniform
%P 349-369
%T Artificial boundary conditions for two-dimensional exterior Stokes
problems.
%X Summary: We consider a family of boundary value problems for the
two-dimensional Stokes system on bounded domains $Ømega_R=Ømega\cap
G_R$. Here $Ømega$ is a domain with a compact complement and $G_R$
a bounded domain which blows up as $R\toınfty$ and contains the
boundary of $Ømega$ in its interior. The main results are uniform
estimates for the solutions on $Ømega_R$, where the dependence on
the parameter $R$ is calculated explicitly. The result is applied
to approximate solutions to the exterior Dirichlet problem for the
Stokes system by solutions on the bounded domains $Ømega_R$. Asymptotically
precise error estimates are derived.
@incollection{Specovius-Neugebauer1998,
abstract = {{Summary: We consider a family of boundary value problems for the
two-dimensional Stokes system on bounded domains $\Omega_R=\Omega\cap
G_R$. Here $\Omega$ is a domain with a compact complement and $G_R$
a bounded domain which blows up as $R\to\infty$ and contains the
boundary of $\Omega$ in its interior. The main results are uniform
estimates for the solutions on $\Omega_R$, where the dependence on
the parameter $R$ is calculated explicitly. The result is applied
to approximate solutions to the exterior Dirichlet problem for the
Stokes system by solutions on the bounded domains $\Omega_R$. Asymptotically
precise error estimates are derived.}},
added-at = {2013-09-30T13:38:10.000+0200},
address = {Utrecht},
author = {Specovius-Neugebauer, Maria},
biburl = {https://www.bibsonomy.org/bibtex/297400d7b634a7378624e48b15f6cde4a/specovius},
booktitle = {Navier-Stokes equations and related nonlinear problems. Proceedings
of the 6th international conference NSEC-6, Palanga, Lithuania, May
22-29, 1997.},
classmath = {{*35Q35 Other equations arising in fluid mechanics 76D07 Stokes flows
35B30 Dependence of solutions of PDE on initial and boundary data}},
editor = {Amann, H. et al.},
interhash = {835277f0fc5df652b5648552f1d4a0d4},
intrahash = {97400d7b634a7378624e48b15f6cde4a},
keywords = {Dirichlet Stokes error estimates estimates} exterior for problem solutions; system; the {uniform},
language = {English},
owner = {maria},
pages = {349-369},
publisher = {VSP},
timestamp = {2013-09-30T13:38:10.000+0200},
title = {Artificial boundary conditions for two-dimensional exterior Stokes
problems.},
year = 1998
}