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Cover Art
Author Wilbrandt, Ulrich, author. Author.

Title Stokes-Darcy equations : analytic and numerical analysis / by Ulrich Wilbrandt.

Published Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.


Location Call No. Status
Physical description 1 online resource (VIII, 212 pages) : 37 illustrations, 17 illustrations in color.
Series Lecture Notes in Mathematical Fluid Mechanics, 2510-1374
Lecture Notes in Mathematical Fluid Mechanics. 2510-1374
Springer Mathematics and Statistics eBooks 2019 English+International
Contents Notation and preliminary results -- Properties of Sobolev spaces -- Traces -- Subproblems individually -- Stokes-Darcy equations -- Algorithms -- Numerical results.
Bibliography Includes bibliographical references and index.
Summary 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.
Other author SpringerLink issuing body.
Subject Functional analysis.
Numerical analysis.
Electronic books.
Electronic books.
ISBN 9783030029043
Standard Number 10.1007/978-3-030-02904-3