LEADER 02696nam 22004935 450 001 9910338247703321 005 20200702031459.0 010 $a3-030-02904-2 024 7 $a10.1007/978-3-030-02904-3 035 $a(CKB)4100000007463710 035 $a(DE-He213)978-3-030-02904-3 035 $a(MiAaPQ)EBC5632050 035 $a(PPN)233799974 035 $a(EXLCZ)994100000007463710 100 $a20190110d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStokes?Darcy Equations $eAnalytic and Numerical Analysis /$fby Ulrich Wilbrandt 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (VIII, 212 p. 37 illus., 17 illus. in color.) 225 1 $aLecture Notes in Mathematical Fluid Mechanics,$x2510-1374 311 $a3-030-02903-4 327 $aNotation and preliminary results -- Properties of Sobolev spaces -- Traces -- Subproblems individually -- Stokes-Darcy equations -- Algorithms -- Numerical results. 330 $aThis book offers a thorough guide starting from fundamental functional analysis leading to the coupling of Stokes and Darcy equations, including numerical analysis and scientific computing. Almost all intermediate results are given with complete, rigorous proofs, including theorems which can be rarely found in the literature such that this book serves well as a reference on the topic. Special care is taken to analyze the difficult cases of non-smooth interfaces which are not completely enclosed in one subdomain, i.e, intersect with the outer boundary. This can hardly be found in the literature. Additionally, known and new subdomain iterative methods are introduced, analyzed and applied to standard examples as well as one example motivated by a geoscientific setting. 410 0$aLecture Notes in Mathematical Fluid Mechanics,$x2510-1374 606 $aFunctional analysis 606 $aNumerical analysis 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 615 0$aFunctional analysis. 615 0$aNumerical analysis. 615 14$aFunctional Analysis. 615 24$aNumerical Analysis. 676 $a515.7 676 $a532.001515353 700 $aWilbrandt$b Ulrich$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781711 906 $aBOOK 912 $a9910338247703321 996 $aStokes?Darcy Equations$91733540 997 $aUNINA