國立高雄大學圖資館 |

Language: English

Back

Stokes-Darcy equationsanalytic and n...

SpringerLink (Online service)

Stokes-Darcy equationsanalytic and numerical analysis /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stokes-Darcy equationsby 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.
Contained By:	Springer eBooks
Subject:	Stokes equations.
Online resource:	https://doi.org/10.1007/978-3-030-02904-3
ISBN:	9783030029043$q(electronic bk.)

Stokes-Darcy equationsanalytic 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$q(electronic bk.)

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

728102
Stokes equations.

LC Class. No.: QA927

Dewey Class. No.: 518.64

Stokes-Darcy equationsanalytic and numerical analysis /
LDR:01978nmm a2200337 a 4500 001 555790
003 DE-He213
005 20190709132231.0
006 m d
007 cr nn 008maaau
008 191121s2019 gw s 0 eng d
020 $a 9783030029043$q(electronic bk.)
020 $a 9783030029036$q(paper)
024 7 $a 10.1007/978-3-030-02904-3 $2 doi
035 $a 978-3-030-02904-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA927
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 518.64 $2 23
090 $a QA927 $b .W665 2019
100 1 $a Wilbrandt, Ulrich. $3 838068
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 728102
650 1 4 $a Functional Analysis. $3 274845
650 2 4 $a Numerical Analysis. $3 275681
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematical fluid mechanics. $3 838069
856 4 0 $u https://doi.org/10.1007/978-3-030-02904-3
950 $a Mathematics and Statistics (Springer-11649)