02696nam 22004935 450 991033824770332120200702031459.03-030-02904-210.1007/978-3-030-02904-3(CKB)4100000007463710(DE-He213)978-3-030-02904-3(MiAaPQ)EBC5632050(PPN)233799974(EXLCZ)99410000000746371020190110d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierStokes–Darcy Equations Analytic and Numerical Analysis /by Ulrich Wilbrandt1st ed. 2019.Cham :Springer International Publishing :Imprint: Birkhäuser,2019.1 online resource (VIII, 212 p. 37 illus., 17 illus. in color.) Lecture Notes in Mathematical Fluid Mechanics,2510-13743-030-02903-4 Notation and preliminary results -- Properties of Sobolev spaces -- Traces -- Subproblems individually -- Stokes-Darcy equations -- Algorithms -- Numerical results.This 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.Lecture Notes in Mathematical Fluid Mechanics,2510-1374Functional analysisNumerical analysisFunctional Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12066Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Functional analysis.Numerical analysis.Functional Analysis.Numerical Analysis.515.7532.001515353Wilbrandt Ulrichauthttp://id.loc.gov/vocabulary/relators/aut781711BOOK9910338247703321Stokes–Darcy Equations1733540UNINA