The Resource Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource)

Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource)

Label
Modern Solvers for Helmholtz Problems
Title
Modern Solvers for Helmholtz Problems
Statement of responsibility
edited by Domenico Lahaye, Jok Tang, Kees Vuik
Contributor
Editor
Provider
Subject
Language
eng
Summary
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
Member of
Image bit depth
0
LC call number
QA297-299.4
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Lahaye, Domenico.
  • Tang, Jok.
  • Vuik, Kees.
  • SpringerLink
Series statement
Geosystems Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Matrix theory
  • Algebra
  • Difference equations
  • Functional equations
  • Differential equations, Partial
  • Numerical analysis
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Linear and Multilinear Algebras, Matrix Theory
  • Difference and Functional Equations
Label
Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
I Algorithms: new developments and analysis -- II Algorithms: practical methods and implementations -- III Industrial applications.
Dimensions
unknown
Extent
XII, 243 p. 54 illus., 39 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319288321
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-28832-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-28832-1
Label
Modern Solvers for Helmholtz Problems, edited by Domenico Lahaye, Jok Tang, Kees Vuik, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
I Algorithms: new developments and analysis -- II Algorithms: practical methods and implementations -- III Industrial applications.
Dimensions
unknown
Extent
XII, 243 p. 54 illus., 39 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319288321
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-28832-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-28832-1

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