東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Finite element and discontinuous Gal...

Cohen, Gary.

FindBook

Google Book

Amazon

博客來

Finite element and discontinuous Galerkin methods for transient wave equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Finite element and discontinuous Galerkin methods for transient wave equations/ by Gary Cohen, Sebastien Pernet.
作者:	Cohen, Gary.
其他作者:	Pernet, Sebastien.
出版者:	Dordrecht :Springer Netherlands : : 2017.,
面頁冊數:	xvii, 381 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Finite element method. -
電子資源:	http://dx.doi.org/10.1007/978-94-017-7761-2
ISBN:	9789401777612

Finite element and discontinuous Galerkin methods for transient wave equations
Cohen, Gary.

Finite element and discontinuous Galerkin methods for transient wave equations[electronic resource] /by Gary Cohen, Sebastien Pernet. - Dordrecht :Springer Netherlands :2017. - xvii, 381 p. :ill. (some col.), digital ;24 cm. - Scientific computation,1434-8322. - Scientific computation..

This monograph presents numerical methods for solving transient wave equations (i.e. in time domain) More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell's system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell's system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separate chapter. The two last chapters deal with time approximation including local time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis is put on the accuracy and computational efficiency of the methods, with attention brought to their practical aspects. This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulation of waves.

ISBN: 9789401777612

Standard No.: 10.1007/978-94-017-7761-2doiSubjects--Topical Terms:

579714
Finite element method.

LC Class. No.: TA347.F5

Dewey Class. No.: 518.25

Finite element and discontinuous Galerkin methods for transient wave equations
LDR:02814nmm a2200313 a 4500 001 2087634
003 DE-He213
005 20160805102600.0
006 m d
007 cr nn 008maaau
008 171013s2017 ne s 0 eng d
020 $a 9789401777612 $q (electronic bk.)
020 $a 9789401777599 $q (paper)
024 7 $a 10.1007/978-94-017-7761-2 $2 doi
035 $a 978-94-017-7761-2
040 $a GP $c GP
041 0 $a eng
050 4 $a TA347.F5
072 7 $a TBJ $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 518.25 $2 23
090 $a TA347.F5 $b C678 2017
100 1 $a Cohen, Gary. $3 3216675
245 1 0 $a Finite element and discontinuous Galerkin methods for transient wave equations $h [electronic resource] / $c by Gary Cohen, Sebastien Pernet.
260 $a Dordrecht : $b Springer Netherlands : $b Imprint: Springer, $c 2017.
300 $a xvii, 381 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Scientific computation, $x 1434-8322
520 $a This monograph presents numerical methods for solving transient wave equations (i.e. in time domain) More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell's system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell's system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separate chapter. The two last chapters deal with time approximation including local time-stepping and with the study of some complex models, i.e. acoustics in flow, gravity waves and vibrating thin plates. Throughout, emphasis is put on the accuracy and computational efficiency of the methods, with attention brought to their practical aspects. This monograph also covers in details the theoretical foundations and numerical analysis of these methods. As a result, this monograph will be of interest to practitioners, researchers, engineers and graduate students involved in the numerical simulation of waves.
650 0 $a Finite element method. $3 579714
650 0 $a Galerkin methods. $3 704916
650 1 4 $a Engineering. $3 586835
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 890892
650 2 4 $a Numerical and Computational Physics. $3 1066671
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
650 2 4 $a Classical Continuum Physics. $3 1066687
650 2 4 $a Continuum Mechanics and Mechanics of Materials. $3 890989
650 2 4 $a Computational Science and Engineering. $3 893018
700 1 $a Pernet, Sebastien. $3 3216676
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Scientific computation. $3 1569496
856 4 0 $u http://dx.doi.org/10.1007/978-94-017-7761-2
950 $a Engineering (Springer-11647)