東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Numerical methods for mixed finite e...

Deteix, Jean.

Linked to FindBook

Google Book

Amazon

博客來

Numerical methods for mixed finite element problems = applications to incompressible materials and contact problems /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical methods for mixed finite element problems/ by Jean Deteix, Thierno Diop, Michel Fortin.
Reminder of title:	applications to incompressible materials and contact problems /
Author:	Deteix, Jean.
other author:	Diop, Thierno.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	vi, 116 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Finite element method. -
Online resource:	https://doi.org/10.1007/978-3-031-12616-1
ISBN:	9783031126161

Numerical methods for mixed finite element problems = applications to incompressible materials and contact problems /
Deteix, Jean.

Numerical methods for mixed finite element problemsapplications to incompressible materials and contact problems /[electronic resource] :by Jean Deteix, Thierno Diop, Michel Fortin. - Cham :Springer International Publishing :2022. - vi, 116 p. :ill. (chiefly color), digital ;24 cm. - Lecture notes in mathematics,v. 23181617-9692 ;. - Lecture notes in mathematics ;v. 2318..

This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations. Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the augmented Lagrangian method and gives a summary of the standard iterative methods, describing their usage for mixed methods. Here, preconditioners are built from an approximate factorisation of the mixed system. A first set of applications is considered for incompressible elasticity problems and flow problems, including non-linear models. An account of the mixed formulation for Dirichlet's boundary conditions is then given before turning to contact problems, where contact between incompressible bodies leads to problems with two constraints. This book is aimed at graduate students and researchers in the field of numerical methods and scientific computing.

ISBN: 9783031126161

Standard No.: 10.1007/978-3-031-12616-1doiSubjects--Topical Terms:

579714
Finite element method.

LC Class. No.: QC20.7.F56 / D47 2022

Dewey Class. No.: 518.25

Numerical methods for mixed finite element problems = applications to incompressible materials and contact problems /
LDR:02155nmm a2200325 a 4500 001 2304295
003 DE-He213
005 20220923235526.0
006 m d
007 cr nn 008maaau
008 230409s2022 sz s 0 eng d
020 $a 9783031126161 $q (electronic bk.)
020 $a 9783031126154 $q (paper)
024 7 $a 10.1007/978-3-031-12616-1 $2 doi
035 $a 978-3-031-12616-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20.7.F56 $b D47 2022
072 7 $a PBKS $2 bicssc
072 7 $a MAT006000 $2 bisacsh
072 7 $a PBKS $2 thema
082 0 4 $a 518.25 $2 23
090 $a QC20.7.F56 $b D479 2022
100 1 $a Deteix, Jean. $3 3606397
245 1 0 $a Numerical methods for mixed finite element problems $h [electronic resource] : $b applications to incompressible materials and contact problems / $c by Jean Deteix, Thierno Diop, Michel Fortin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a vi, 116 p. : $b ill. (chiefly color), digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2318
520 $a This book focuses on iterative solvers and preconditioners for mixed finite element methods. It provides an overview of some of the state-of-the-art solvers for discrete systems with constraints such as those which arise from mixed formulations. Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the augmented Lagrangian method and gives a summary of the standard iterative methods, describing their usage for mixed methods. Here, preconditioners are built from an approximate factorisation of the mixed system. A first set of applications is considered for incompressible elasticity problems and flow problems, including non-linear models. An account of the mixed formulation for Dirichlet's boundary conditions is then given before turning to contact problems, where contact between incompressible bodies leads to problems with two constraints. This book is aimed at graduate students and researchers in the field of numerical methods and scientific computing.
650 0 $a Finite element method. $3 579714
650 1 4 $a Computational Mathematics and Numerical Analysis. $3 891040
650 2 4 $a Algorithms. $3 536374
650 2 4 $a Mathematical and Computational Engineering Applications. $3 3592737
650 2 4 $a Numerical Analysis. $3 892626
650 2 4 $a Solid Mechanics. $3 3381524
700 1 $a Diop, Thierno. $3 3606398
700 1 $a Fortin, Michel. $3 3606399
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v. 2318. $3 3606400
856 4 0 $u https://doi.org/10.1007/978-3-031-12616-1
950 $a Mathematics and Statistics (SpringerNature-11649)