Ulrich Wilbrandt: Stokes-Darcy Equations

Cover: 9783030029036 | Stokes-Darcy Equations | Analytic and Numerical Analysis | Wilbrandt

Rückseite: 9783030029036 | Stokes-Darcy Equations | Analytic and Numerical Analysis | Wilbrandt

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Thorough guide to the coupling of Stokes and Darcy equations

Includes numerical analysis and scientific computing

Almost all intermediate results are given with a rigorous proof

Special care is taken to analyze the difficult cases of non-smooth interfaces which are not completely enclosed in one subdomain

Inhaltsverzeichnis

Notation and preliminary results.- Properties of Sobolev spaces.- Traces.- Subproblems individually.- Stokes-Darcy equations.- Algorithms.- Numerical results.

Details

Erscheinungsjahr:	2019
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	viii 212 S. 20 s/w Illustr. 17 farbige Illustr. 212 p. 37 illus. 17 illus. in color.
ISBN-13:	9783030029036
ISBN-10:	3030029034
Sprache:	Englisch
Herstellernummer:	978-3-030-02903-6
Einband:	Kartoniert / Broschiert
Autor:	Wilbrandt, Ulrich
Hersteller:	Birkhäuser Palgrave Macmillan Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	235 x 155 x 13 mm
Von/Mit:	Ulrich Wilbrandt
Erscheinungsdatum:	11.01.2019
Gewicht:	0,341 kg