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Separated Representations and PGD-Based Model Reduction: Fundamentals and Applications: 554 (CISM International Centre for Mechanical Sciences, 554) - Tapa dura
Libro 352 de 415: CISM International Centre for Mechanical Sciences
Sinopsis
Model order reduction based on proper orthogonal decomposition: Model reduction: extracting relevant information.- Interpolation of reduced basis: a geometrical approach.- POD for non-linear models.- Conclusions.- PGD for solving multidimensional and parametric models: Introduction.- Separated representations.- Advanced topics.- Models defined in plate and shell geometries.- Computational vademecums.- PGD in linear and nonlinear Computational Solid Mechanics: Introduction.- PGD -Verification for linear problems (elliptic and parabolic).- PGD for time dependent nonlinear problems (monoscale and multiscale problems).- Reduced basis approximation and error estimation for parameterized elliptic partial differential equations and applications: Introduction and motivation.- Parameterized problems.- High order and reduced order models with reduced basis method: greedy algorithm and a posteriori error estimation.- Applications.- Conclusion.
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De la contraportada
The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space, ), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.
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Separated representations and PGD - Based model reduction Fundamentals and applications
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Separated Representations and PGD-Based Model Reduction : Fundamentals and Applications
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Separated Representations and PGD-Based Model Reduction
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,.), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science. 236 pp. Englisch. Nº de ref. del artículo: 9783709117934
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First book on this topic addressing a large audience (from undergraduate students to experienced researchers)Hot topicNew ways of problem solvingThe papers in this volume start with a description of the construction of reduced model. Nº de ref. del artículo: 5249823
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Separated Representations and PGD-Based Model Reduction: Fundamentals and Applications (CISM International Centre for Mechanical Sciences, 554)
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Separated Representations and PGD-Based Model Reduction : Fundamentals and Applications
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,.), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science. Nº de ref. del artículo: 9783709117934
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Separated Representations and PGD-Based Model Reduction: Fundamentals and Applications: 554 (CISM International Centre for Mechanical Sciences)
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Separated Representations and PGD-Based Model Reduction
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Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,¿), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 236 pp. Englisch. Nº de ref. del artículo: 9783709117934
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