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

Modern solvers for Helmholtz problems

Lahaye, Domenico.

Linked to FindBook

Google Book

Amazon

博客來

Modern solvers for Helmholtz problems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Modern solvers for Helmholtz problems/ edited by Domenico Lahaye, Jok Tang, Kees Vuik.
other author:	Lahaye, Domenico.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xii, 243 p. :ill., digital ;24 cm.
[NT 15003449]:	I Algorithms: new developments and analysis -- II Algorithms: practical methods and implementations -- III Industrial applications.
Contained By:	Springer eBooks
Subject:	Helmholtz equation - Numerical solutions. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-28832-1
ISBN:	9783319288321

Modern solvers for Helmholtz problems
Modern solvers for Helmholtz problems[electronic resource] /edited by Domenico Lahaye, Jok Tang, Kees Vuik. - Cham :Springer International Publishing :2017. - xii, 243 p. :ill., digital ;24 cm. - Geosystems mathematics,2510-1544. - Geosystems mathematics..

I Algorithms: new developments and analysis -- II Algorithms: practical methods and implementations -- III Industrial applications.

This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts: new developments and analysis in Helmholtz solvers, practical methods and implementations of Helmholtz solvers, and industrial applications. The Helmholtz equation appears in a wide range of science and engineering disciplines in which wave propagation is modeled. Examples are: seismic inversion, ultrasone medical imaging, sonar detection of submarines, waves in harbours and many more. The partial differential equation looks simple but is hard to solve. In order to approximate the solution of the problem numerical methods are needed. First a discretization is done. Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method. The resulting linear system is large, where the size of the problem increases with increasing frequency. Due to higher frequencies the seismic images need to be more detailed and, therefore, lead to numerical problems of a larger scale. To solve these three dimensional problems fast and robust, iterative solvers are required. However for standard iterative methods the number of iterations to solve the system becomes too large. For these reason a number of new methods are developed to overcome this hurdle. The book is meant for researchers both from academia and industry and graduate students. A prerequisite is knowledge on partial differential equations and numerical linear algebra.

ISBN: 9783319288321

Standard No.: 10.1007/978-3-319-28832-1doiSubjects--Topical Terms:

820729
Helmholtz equation
--Numerical solutions.

LC Class. No.: QA927

Dewey Class. No.: 515.35

Modern solvers for Helmholtz problems
LDR:02717nmm a2200337 a 4500 001 2092970
003 DE-He213
005 20170302182833.0
006 m d
007 cr nn 008maaau
008 171117s2017 gw s 0 eng d
020 $a 9783319288321 $q (electronic bk.)
020 $a 9783319288314 $q (paper)
024 7 $a 10.1007/978-3-319-28832-1 $2 doi
035 $a 978-3-319-28832-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA927
072 7 $a PBKS $2 bicssc
072 7 $a MAT021000 $2 bisacsh
072 7 $a MAT006000 $2 bisacsh
082 0 4 $a 515.35 $2 23
090 $a QA927 $b .M689 2017
245 0 0 $a Modern solvers for Helmholtz problems $h [electronic resource] / $c edited by Domenico Lahaye, Jok Tang, Kees Vuik.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a xii, 243 p. : $b ill., digital ; $c 24 cm.
490 1 $a Geosystems mathematics, $x 2510-1544
505 0 $a I Algorithms: new developments and analysis -- II Algorithms: practical methods and implementations -- III Industrial applications.
520 $a This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation. The book consists of three parts: new developments and analysis in Helmholtz solvers, practical methods and implementations of Helmholtz solvers, and industrial applications. The Helmholtz equation appears in a wide range of science and engineering disciplines in which wave propagation is modeled. Examples are: seismic inversion, ultrasone medical imaging, sonar detection of submarines, waves in harbours and many more. The partial differential equation looks simple but is hard to solve. In order to approximate the solution of the problem numerical methods are needed. First a discretization is done. Various methods can be used: (high order) Finite Difference Method, Finite Element Method, Discontinuous Galerkin Method and Boundary Element Method. The resulting linear system is large, where the size of the problem increases with increasing frequency. Due to higher frequencies the seismic images need to be more detailed and, therefore, lead to numerical problems of a larger scale. To solve these three dimensional problems fast and robust, iterative solvers are required. However for standard iterative methods the number of iterations to solve the system becomes too large. For these reason a number of new methods are developed to overcome this hurdle. The book is meant for researchers both from academia and industry and graduate students. A prerequisite is knowledge on partial differential equations and numerical linear algebra.
650 0 $a Helmholtz equation $x Numerical solutions. $3 820729
650 0 $a Helmholtz equation. $3 1637905
650 0 $a Wave equation. $3 673943
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Numerical Analysis. $3 892626
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 891082
650 2 4 $a Difference and Functional Equations. $3 897290
650 2 4 $a Partial Differential Equations. $3 890899
700 1 $a Lahaye, Domenico. $3 3227409
700 1 $a Tang, Jok. $3 3227410
700 1 $a Vuik, Kees. $3 1086602
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Geosystems mathematics. $3 3227411
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-28832-1
950 $a Mathematics and Statistics (Springer-11649)