Stokes-Darcy Equations Analytic and Numerical Analysis /

• Κύριος συγγραφέας: Wilbrandt, Ulrich (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Lecture Notes in Mathematical Fluid Mechanics,
• Θέματα: Functional analysis.; Numerical analysis.; Functional Analysis.; Numerical Analysis.
• Φυσική περιγραφή: VIII, 212 p. 37 illus., 17 illus. in color. online resource.
• ISBN: 9783030029043
• ISSN: 2510-1374
• DOI: 10.1007/978-3-030-02904-3

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.