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Stokes–Darcy Equations: Analytic and Numerical Analysis: Advances in Mathematical Fluid Mechanics

Autor Ulrich Wilbrandt
en Limba Engleză Paperback – 11 ian 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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Specificații

ISBN-13: 9783030029036
ISBN-10: 3030029034
Pagini: 206
Ilustrații: VIII, 212 p. 37 illus., 17 illus. in color.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.32 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Birkhäuser
Seriile Advances in Mathematical Fluid Mechanics, Lecture Notes in Mathematical Fluid Mechanics

Locul publicării:Cham, Switzerland

Cuprins

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

Recenzii

“The entire book is clearly written, employs a modern notation, and with no doubt can be recommended to all researchers in this interesting field.” (Stanisław Migórski, zbMATH 1423.76005, 2019)


Textul de pe ultima copertă

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.


Caracteristici

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