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PGD-Based Modeling of Materials, Structures and Processes

Kataloginformation Katalogdatensatz500187483 .

Kataloginformation
Feldname	Details
Vorliegende Sprache	eng
ISBN	978-3-319-06181-8
Name	Chinesta, Francisco
Name	Cueto, Elías
Name ANZEIGE DER KETTE	Cueto, Elías
T I T E L	PGD-Based Modeling of Materials, Structures and Processes
Verlagsort	Cham
Verlag	Springer International Publishing
Erscheinungsjahr	2014
Erscheinungsjahr	2014
Umfang	Online-Ressource (XVII, 219 p. 84 illus, online resource)
Reihe	ESAFORM Bookseries on Material Forming
Notiz / Fußnoten	Description based upon print version of record
Weiterer Inhalt	Preface; Acknowledgments; Contents; 1 Introduction; 1.1 Recurrent Issues in Numerical Simulation; 1.2 Model Reduction: Information Versus Relevant Information; 1.2.1 Extracting Relevant Information: Proper Orthogonal Decomposition; 1.2.2 Towards an ``A Priori'' Space-Time Separated Representation; 1.3 The Proper Generalized Decomposition at a Glance; 1.4 Revisiting the Simulation Challenges; 1.4.1 Multidimensional Models; 1.4.2 Efficient Transient Non-incremental Solutions ; 1.4.3 Space Separation in Degenerated Domains; 1.4.4 Parametric Solutions and Computational Vademecums. 1.4.5 Discussion on the Coordinates Separation1.5 A Brief State of the Art on PGD-Based Model Order Reduction; 1.5.1 Multidimensional Models ; 1.5.2 Separating the Physical Space; 1.5.3 Parametric Models: A Route to Efficient Optimization, Inverse Identification and Real Time Simulation; 1.5.4 Real-Time Simulation, DDDAS and More; 1.5.5 Miscellaneous; References; 2 Fine Description of Materials; 2.1 From Quantum Mechanics to Statistical Mechanics: A Walk on the Frontier; 2.1.1 The Finest Description: The Quantum Approach; 2.1.2 From ab initio to Molecular Dynamics. 2.1.3 Coarse Grained Modeling: Brownian Dynamics2.1.4 Coming Back to Continuous Descriptions: Kinetic Theory Models; 2.2 Advanced Solvers for Multi-dimensional Models; 2.3 Numerical Examples; 2.3.1 On the Separated Representation of the Schrödinger Equation; 2.3.2 Kinetic Theory Description of Rod-Like Aggregating Suspensions; 2.4 Conclusions; References; 3 PGD-Based Computational Homogenization; 3.1 Homogenization of Linear Heterogenous Models; 3.1.1 Formulation of the Homogenization Problem; 3.1.2 Separated Representation of the Physical Space; 3.1.3 Efficient Solvers of One-Dimensional BVP. 3.1.4 Enriched Parametric Models3.2 Advanced Non-concurrent Non-linear Homogenization; 3.2.1 History Independent Non-linear Behaviors; 3.2.2 History Independent Non-linear Behaviors: A Simplified Procedure ; 3.2.3 History Dependent Non-linear Behaviors; 3.2.4 History Dependent Non-linear Behaviors: A Simplified Procedure; 3.3 Numerical Examples ; 3.3.1 Homogenization of Linear Models; 3.3.2 Homogenization of Non-linear History Independent Models; 3.3.3 Homogenization of Non-linear History-Dependent Models; 3.4 Conclusions; References; 4 Separated Representations of Coupled Models. 4.1 Efficient Coupling of Global and Local Models4.2 Fully Globalized Local Models; 4.3 Heterogeneous Time Integration; 4.4 Numerical Example; 4.5 Discussion; References; 5 Parametric Models in Evolving Domains; 5.1 On the Difficulty of Simulating Evolving Domains; 5.2 Separated Representation of Models Defined in Evolving Domains; 5.2.1 Diffusive Term; 5.2.2 Advective Term; 5.2.3 Source Term; 5.3 Building-Up a Separated Representation of the Model Solution; 5.3.1 Computing the Space Function R; 5.3.2 Computing the Time Function Υ(t); 5.4 Numerical Test. 5.5 Towards Parametric Modeling in Evolving Domains
Titelhinweis	Druckausg.ISBN: 978-331-90618-1-8
ISBN	ISBN 978-3-319-06182-5
Klassifikation	TG
	TEC009070
	TEC021000
	620.1
	003.3
	TA405-409.3
	QA808.2
Kurzbeschreibung	This book focuses on the development of a new simulation paradigm allowing for the solution of models that up to now have never been resolved and which result in spectacular CPU time savings (in the order of millions) that, combined with supercomputing, could revolutionize future ICT (information and communication technologies) at the heart of science and technology. The authors have recently proposed a new paradigm for simulation-based engineering sciences called Proper Generalized Decomposition, PGD, which has proved a tremendous potential in many aspects of forming process simulation. In this book a review of the basics of the technique is made, together with different examples of application.
SWB-Titel-Idn	405481683
Signatur	Springer E-Book
Bemerkungen	Elektronischer Volltext - Campuslizenz
Elektronische Adresse	$uhttp://dx.doi.org/10.1007/978-3-319-06182-5
Internetseite / Link	Volltext
Siehe auch	Volltext
Siehe auch	Cover

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