Stokes–Darcy Equations

Analytic and Numerical Analysis

Ulrich Wilbrandt (Autor)

Buch | Softcover

VIII, 212 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-02903-6 (ISBN)

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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.

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 Migórski, zbMATH 1423.76005, 2019)

Erscheinungsdatum	15.01.2019
Reihe/Serie	Advances in Mathematical Fluid Mechanics
Reihe/Serie	Lecture Notes in Mathematical Fluid Mechanics
Zusatzinfo	VIII, 212 p. 37 illus., 17 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	343 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	d-rr • Interface • iterative subdomain algorithm • neumann-neumann • robin-robin • small viscosity and conductivity • Sobolev Space • stokes-darcy • Trace
ISBN-10	3-030-02903-4 / 3030029034
ISBN-13	978-3-030-02903-6 / 9783030029036
Zustand	Neuware