caa a22 4500 46317089X CHVBK 20180406164812.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s00021-005-0189-z doi (NATIONALLICENCE)springer-10.1007/s00021-005-0189-z Artificial Boundary Conditions of Pressure Type for Viscous Flows in a System of Pipes [Elektronische Daten] [Stephan Blazy, Sergueï Nazarov, Maria Specovius-Neugebauer] Abstract.: In a three-dimensional domain Ω with J cylindrical outlets to infinity the problem is treated how solutions to the stationary Stokes and Navier-Stokes system with pressure conditions at infinity can be approximated by solutions on bounded subdomains. The optimal artificial boundary conditions turn out to have singular coefficients. Existence, uniqueness and asymptotically precise estimates for the truncation error are proved for the linear problem and for the nonlinear problem with small data. The results include also estimates for the so called "do-nothing” condition. Birkhäuser Verlag, Basel, 2006 Stokes and Navier-Stokes problems nationallicence domains with non compact boundaries nationallicence artificial boundary conditions nationallicence do nothing condition nationallicence asymptotic analysis nationallicence error estimates nationallicence Blazy Stephan Paderborn Center for Parallel Computing, Universität Paderborn, Fürstenallee 11, 33102, Paderborn, Germany aut Nazarov Sergueï Institute of Mechanical Engineering Problems, V.O. Bol'shoy pr., 61, 199178, St. Petersburg, Russia aut Specovius-Neugebauer Maria Mathematik/Informatik, Universität Kassel, Fachbereich 17, Heinrich Plett. Str. 40, 34132, Kassel, Germany aut Journal of Mathematical Fluid Mechanics Birkhäuser-Verlag; www.birkhäuser.ch 9/1(2007-03-01), 1-33 1422-6928 9:1<1 2007 9 21 https://doi.org/10.1007/s00021-005-0189-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00021-005-0189-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Blazy Stephan Paderborn Center for Parallel Computing, Universität Paderborn, Fürstenallee 11, 33102, Paderborn, Germany aut NATIONALLICENCE 700 1- Nazarov Sergueï Institute of Mechanical Engineering Problems, V.O. Bol'shoy pr., 61, 199178, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Specovius-Neugebauer Maria Mathematik/Informatik, Universität Kassel, Fachbereich 17, Heinrich Plett. Str. 40, 34132, Kassel, Germany aut NATIONALLICENCE 773 0- Journal of Mathematical Fluid Mechanics Birkhäuser-Verlag; www.birkhäuser.ch 9/1(2007-03-01), 1-33 1422-6928 9:1<1 2007 9 21 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer