Modern solvers for Helmholtz problems / Domenico Lahaye, Jok Tang, Kees Vuik, editors.
2017
QA927
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Title
Modern solvers for Helmholtz problems / Domenico Lahaye, Jok Tang, Kees Vuik, editors.
ISBN
9783319288321 (electronic book)
3319288326 (electronic book)
9783319288314
3319288318
3319288326 (electronic book)
9783319288314
3319288318
Published
Cham, Switzerland : Birkhäuser, [2017]
Copyright
©2017
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-319-28832-1 doi
Call Number
QA927
Dewey Decimal Classification
515/.35
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.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Source of Description
Vendor-supplied metadata.
Series
Geosystems Mathematics.
Available in Other Form
Print version: 9783319288314
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Table of Contents
I Algorithms: new developments and analysis
II Algorithms: practical methods and implementations
III Industrial applications. .
II Algorithms: practical methods and implementations
III Industrial applications. .