Synopsis
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.
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Modern Solvers for Helmholtz Problems (eng)
impression à la demandeVendeur : Brook Bookstore On Demand, Napoli, NA, Italie
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Modern Solvers for Helmholtz Problems
Edité par
Palgrave Macmillan, 2017
ISBN 10 : 3319288318
ISBN 13 : 9783319288314
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Etat : Sehr gut. Zustand: Sehr gut | Seiten: 256 | Sprache: Englisch | Produktart: Bücher | 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. N° de réf. du vendeur 26370333/12
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Modern Solvers for Helmholtz Problems (Geosystems Mathematics)
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Modern Solvers for Helmholtz Problems
Edité par
Springer International Publishing Mrz 2017, 2017
ISBN 10 : 3319288318
ISBN 13 : 9783319288314
Neuf
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. Examplesare: 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. 256 pp. Englisch. N° de réf. du vendeur 9783319288314
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Modern solvers for Helmholtz problems
Edité par
Springer International Publishing, 2017
ISBN 10 : 3319288318
ISBN 13 : 9783319288314
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book presents classes of methods appearing that are able to solve a wide range of Helmholtz problemsNot only theoretical results are given, the algorithms are also presented in such a way that they can be used in practical appl. N° de réf. du vendeur 106243297
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MODERN SOLVERS FOR HELMHOLTZ PROBLEMS
Edité par
Springer (India) Private Limited, 2017
ISBN 10 : 3319288318
ISBN 13 : 9783319288314
Neuf
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MODERN SOLVERS FOR HELMHOLTZ PROBLEMS
Edité par
Springer (India) Private Limited, 2017
ISBN 10 : 3319288318
ISBN 13 : 9783319288314
Neuf
Couverture rigide
Vendeur : Majestic Books, Hounslow, Royaume-Uni
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Modern Solvers for Helmholtz Problems (Geosystems Mathematics)
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Hardcover. Etat : New. New. book. N° de réf. du vendeur ERICA79033192883186
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MODERN SOLVERS FOR HELMHOLTZ PROBLEMS
Edité par
Springer (India) Private Limited, 2017
ISBN 10 : 3319288318
ISBN 13 : 9783319288314
Neuf
Couverture rigide
Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Modern Solvers for Helmholtz Problems
Edité par
Birkhäuser, Palgrave Macmillan Mär 2017, 2017
ISBN 10 : 3319288318
ISBN 13 : 9783319288314
Neuf
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 256 pp. Englisch. N° de réf. du vendeur 9783319288314
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