Stokes-Darcy Equations

Analytic and Numerical Analysis
 
 
Birkhäuser (Verlag)
  • erschienen am 11. Januar 2019
 
  • Buch
  • |
  • Softcover
  • |
  • VIII, 212 Seiten
978-3-030-02903-6 (ISBN)
 
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.
Book
2019
  • Englisch
  • Cham
  • |
  • Schweiz
Springer International Publishing
  • Für Beruf und Forschung
  • 20 s/w Abbildungen, 5 farbige Tabellen, 17 farbige Abbildungen
  • |
  • 11 schwarz-weiße und 5 farbige Abbildungen, 5 farbige Tabellen, Bibliographie
  • Höhe: 233 mm
  • |
  • Breite: 154 mm
  • |
  • Dicke: 17 mm
  • 352 gr
978-3-030-02903-6 (9783030029036)
10.1007/978-3-030-02904-3
weitere Ausgaben werden ermittelt
Notation and preliminary results.- Properties of Sobolev spaces.- Traces.- Subproblems individually.- Stokes-Darcy equations.- Algorithms.- Numerical results.
"The entire book is clearly written, employs a modern notation, and with no doubt can be recommended to all researchers in this interesting field." (Stanislaw Migorski, zbMATH 1423.76005, 2019)
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.

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