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Stokes-Darcy equations = analytic an...

Wilbrandt, Ulrich.

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Stokes-Darcy equations = analytic and numerical analysis /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stokes-Darcy equations/ by Ulrich Wilbrandt.
Reminder of title:	analytic and numerical analysis /
Author:	Wilbrandt, Ulrich.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	viii, 212 p. :ill., digital ;24 cm.
[NT 15003449]:	Notation and preliminary results -- Properties of Sobolev spaces -- Traces -- Subproblems individually -- Stokes-Darcy equations -- Algorithms -- Numerical results.
Contained By:	Springer eBooks
Subject:	Stokes equations. -
Online resource:	https://doi.org/10.1007/978-3-030-02904-3
ISBN:	9783030029043

Stokes-Darcy equations = analytic and numerical analysis /
Wilbrandt, Ulrich.

Stokes-Darcy equationsanalytic and numerical analysis /[electronic resource] :by Ulrich Wilbrandt. - Cham :Springer International Publishing :2019. - viii, 212 p. :ill., digital ;24 cm. - Lecture notes in mathematical fluid mechanics,2510-1374. - Lecture notes in mathematical fluid mechanics..

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

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.

ISBN: 9783030029043

Standard No.: 10.1007/978-3-030-02904-3doiSubjects--Topical Terms:

728609
Stokes equations.

LC Class. No.: QA927

Dewey Class. No.: 518.64

Stokes-Darcy equations = analytic and numerical analysis /
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100 1 $a Wilbrandt, Ulrich. $3 3383561
245 1 0 $a Stokes-Darcy equations $h [electronic resource] : $b analytic and numerical analysis / $c by Ulrich Wilbrandt.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2019.
300 $a viii, 212 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematical fluid mechanics, $x 2510-1374
505 0 $a Notation and preliminary results -- Properties of Sobolev spaces -- Traces -- Subproblems individually -- Stokes-Darcy equations -- Algorithms -- Numerical results.
520 $a 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.
650 0 $a Stokes equations. $3 728609
650 1 4 $a Functional Analysis. $3 893943
650 2 4 $a Numerical Analysis. $3 892626
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Lecture notes in mathematical fluid mechanics. $3 3383562
856 4 0 $u https://doi.org/10.1007/978-3-030-02904-3
950 $a Mathematics and Statistics (Springer-11649)