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H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - Bernhard Hientzsch
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H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - neues Buch

ISBN: 9783639173659

ID: 119432093

For problems with piecewise smooth solutions, spectral element methods (SEM) hold great promise, combining the fast exponential convergence of spectral methods with the flexibility of finite elements. Once the problems are discretized with SEM, fast direct solvers are needed for the resulting systems. When the systems become too large, iterative solvers and good preconditioners are needed. Up to now, SEM have been mostly applied to elliptic problems (e.g., Poisson equations) and to fluid dynamics. This book applies SEM to problems derived from Maxwell equations, which present new issues and challenges. We derive and describe the problems, discretize them, develop several fast solvers for them, construct domain decomposition preconditioners for them, test the solvers and preconditioners on examples, and prove that the preconditioners are optimal, introducing many ideas, methods, and results along the way. The book presents an accessible introduction to SEM, domain decomposition methods, and fast solvers, applied to computational electromagnetics. It should be useful and interesting for both beginners and specialists. Spectral Elements for Problems in H1 and H(Curl): Discretizations, Fast Solvers, and Domain Decomposition Preconditioners Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, VDM Verlag

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H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - Bernhard Hientzsch
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Bernhard Hientzsch:

H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - neues Buch

ISBN: 9783639173659

ID: 178150304

For problems with piecewise smooth solutions, spectral element methods (SEM) hold great promise, combining the fast exponential convergence of spectral methods with the flexibility of finite elements. Once the problems are discretized with SEM, fast direct solvers are needed for the resulting systems. When the systems become too large, iterative solvers and good preconditioners are needed. Up to now, SEM have been mostly applied to elliptic problems (e.g., Poisson equations) and to fluid dynamics. This book applies SEM to problems derived from Maxwell equations, which present new issues and challenges. We derive and describe the problems, discretize them, develop several fast solvers for them, construct domain decomposition preconditioners for them, test the solvers and preconditioners on examples, and prove that the preconditioners are optimal, introducing many ideas, methods, and results along the way. The book presents an accessible introduction to SEM, domain decomposition methods, and fast solvers, applied to computational electromagnetics. It should be useful and interesting for both beginners and specialists. Spectral Elements for Problems in H1 and H(Curl): Discretizations, Fast Solvers, and Domain Decomposition Preconditioners Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, VDM

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H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - Bernhard Hientzsch
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Bernhard Hientzsch:
H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - Taschenbuch

2009

ISBN: 3639173651

ID: 9852880230

[EAN: 9783639173659], Neubuch, [PU: VDM Verlag Aug 2009], This item is printed on demand - Print on Demand Neuware - For problems with piecewise smooth solutions, spectral element methods (SEM) hold great promise, combining the fast exponential convergence of spectral methods with the flexibility of finite elements. Once the problems are discretized with SEM, fast direct solvers are needed for the resulting systems. When the systems become too large, iterative solvers and good preconditioners are needed. Up to now, SEM have been mostly applied to elliptic problems (e.g., Poisson equations) and to fluid dynamics. This book applies SEM to problems derived from Maxwell equations, which present new issues and challenges. We derive and describe the problems, discretize them, develop several fast solvers for them, construct domain decomposition preconditioners for them, test the solvers and preconditioners on examples, and prove that the preconditioners are optimal, introducing many ideas, methods, and results along the way. The book presents an accessible introduction to SEM, domain decomposition methods, and fast solvers, applied to computational electromagnetics. It should be useful and interesting for both beginners and specialists. 180 pp. Englisch

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H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - Bernhard Hientzsch
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Bernhard Hientzsch:
H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - neues Buch

ISBN: 9783639173659

ID: 30c51c7a206c197fbdf386bf61e315be

For problems with piecewise smooth solutions, spectral element methods (SEM) hold great promise, combining the fast exponential convergence of spectral methods with the flexibility of finite elements. Once the problems are discretized with SEM, fast direct solvers are needed for the resulting systems. When the systems become too large, iterative solvers and good preconditioners are needed. Up to now, SEM have been mostly applied to elliptic problems (e.g., Poisson equations) and to fluid dynamics. This book applies SEM to problems derived from Maxwell equations, which present new issues and challenges. We derive and describe the problems, discretize them, develop several fast solvers for them, construct domain decomposition preconditioners for them, test the solvers and preconditioners on examples, and prove that the preconditioners are optimal, introducing many ideas, methods, and results along the way. The book presents an accessible introduction to SEM, domain decomposition methods, and fast solvers, applied to computational electromagnetics. It should be useful and interesting for both beginners and specialists. Bücher / Naturwissenschaften, Medizin, Informatik & Technik / Mathematik, [PU: VDM Verlag Dr. Müller, Saarbrücken]

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H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - Hientzsch, Bernhard
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Hientzsch, Bernhard:
H(curl) Spectral Elements: Solvers and Domain Decomposition Methods - Taschenbuch

2009, ISBN: 3639173651

Gebundene Ausgabe, ID: 5507716

Spectral Elements for Problems in H1 and H(Curl): Discretizations, Fast Solvers, and Domain Decomposition Preconditioners - Buch, gebundene Ausgabe, 180 S., Beilagen: Paperback, Erschienen: 2009 VDM Verlag, [PU: VDM Verlag Dr. Müller, Saarbrücken]

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H(curl) Spectral Elements: Solvers and Domain Decomposition Methods
Autor:

Hientzsch, Bernhard

Titel:

H(curl) Spectral Elements: Solvers and Domain Decomposition Methods

ISBN-Nummer:

9783639173659

For problems with piecewise smooth solutions, spectral element methods (SEM) hold great promise, combining the fast exponential convergence of spectral methods with the flexibility of finite elements. Once the problems are discretized with SEM, fast direct solvers are needed for the resulting systems. When the systems become too large, iterative solvers and good preconditioners are needed. Up to now, SEM have been mostly applied to elliptic problems (e.g., Poisson equations) and to fluid dynamics. This book applies SEM to problems derived from Maxwell equations, which present new issues and challenges. We derive and describe the problems, discretize them, develop several fast solvers for them, construct domain decomposition preconditioners for them, test the solvers and preconditioners on examples, and prove that the preconditioners are optimal, introducing many ideas, methods, and results along the way. The book presents an accessible introduction to SEM, domain decomposition methods, and fast solvers, applied to computational electromagnetics. It should be useful and interesting for both beginners and specialists.

Detailangaben zum Buch - H(curl) Spectral Elements: Solvers and Domain Decomposition Methods


EAN (ISBN-13): 9783639173659
ISBN (ISBN-10): 3639173651
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2009
Herausgeber: VDM Verlag

Buch in der Datenbank seit 06.06.2007 13:25:00
Buch zuletzt gefunden am 31.10.2016 15:09:09
ISBN/EAN: 9783639173659

ISBN - alternative Schreibweisen:
3-639-17365-1, 978-3-639-17365-9

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