LEADER 02908nam 22005415 450 001 9910148853803321 005 20251202121856.0 010 $a9783319457505 024 7 $a10.1007/978-3-319-45750-5 035 $a(CKB)3710000000918162 035 $a(DE-He213)978-3-319-45750-5 035 $a(MiAaPQ)EBC4729942 035 $a(PPN)196323800 035 $a(EXLCZ)993710000000918162 100 $a20161027d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFinite Element Methods for Incompressible Flow Problems /$fby Volker John 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (XIII, 812 p. 120 illus., 85 illus. in color.) 225 1 $aSpringer Series in Computational Mathematics,$x2198-3712 ;$v51 311 08$a3-319-45749-7 311 08$a3-319-45750-0 320 $aIncludes bibliographical references and index. 327 $aPreface -- Introduction -- The Navier-Stokes Equations as Model for Incompressible Flows -- Finite Element Spaces for Linear Saddle Point Problems -- The Stokes Equations -- The Oseen Equations -- The Steady-State Navier{Stokes Equations -- The Time-Dependent Navier-Stokes Equations - Laminar Flows -- The Time-Dependent Navier-Stokes Equations - Turbulent Flows -- Solvers for the Coupled Linear Systems of Equations -- Functional Analysis -- Finite Element Methods -- Interpolation -- Examples of Numerical Simulations -- Notations -- References. . 330 $aThis book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations, and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques. 410 0$aSpringer Series in Computational Mathematics,$x2198-3712 ;$v51 606 $aMathematics$xData processing 606 $aDifferential equations 606 $aComputational Mathematics and Numerical Analysis 606 $aDifferential Equations 615 0$aMathematics$xData processing. 615 0$aDifferential equations. 615 14$aComputational Mathematics and Numerical Analysis. 615 24$aDifferential Equations. 676 $a620.00151535 700 $aJohn$b Volker$4aut$4http://id.loc.gov/vocabulary/relators/aut$0288356 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910148853803321 996 $aFinite element methods for incompressible flow problems$91523341 997 $aUNINA