Proper Generalized Decompositions An Introduction to Computer Implementation with Matlab /

• Κύριοι συγγραφείς: Cueto, Elías (Συγγραφέας), González, David (Συγγραφέας), Alfaro, Icíar (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: SpringerBriefs in Applied Sciences and Technology,
• Θέματα: Engineering.; Computer mathematics.; Physics.; Continuum mechanics.; Continuum Mechanics and Mechanics of Materials.; Computational Science and Engineering.; Numerical and Computational Physics.

This book is intended to help researchers overcome the entrance barrier to Proper Generalized Decomposition (PGD), by providing a valuable tool to begin the programming task. Detailed Matlab Codes are included for every chapter in the book, in which the theory previously described is translated into...

Πίνακας περιεχομένων:

• Introduction
• 2 To begin with: PGD for Poisson problems
• 2.1 Introduction
• 2.2 The Poisson problem
• 2.3 Matrix structure of the problem
• 2.4 Matlab code for the Poisson problem
• 3 Parametric problems
• 3.1 A particularly challenging problem: a moving load as a parameter
• 3.2 The problem under the PGD formalism
• 3.2.1 Computation of S(s) assuming R(x) is known
• 3.2.2 Computation of R(x) assuming S(s) is known
• 3.3 Matrix structure of the problem
• 3.4 Matlab code for the influence line problem
• 4 PGD for non-linear problems
• 4.1 Hyperelasticity
• 4.2 Matrix structure of the problem
• 4.2.1 Matrix form of the term T2
• 4.2.2 Matrix form of the term T4
• 4.2.3 Matrix form of the term T6
• 4.2.4 Matrix form for the term T8
• 4.2.5 Matrix form of the term T9
• 4.2.6 Matrix form of the term T10
• 4.2.7 Final comments
• 4.3 Matlab code
• 5 PGD for dynamical problems
• 5.1 Taking initial conditions as parameters
• 5.2 Developing the weak form of the problem
• 5.3 Matrix form of the problem
• 5.3.1 Time integration of the equations of motion
• 5.3.2 Computing a reduced-order basis for the field of initial conditions
• 5.3.3 Projection of the equations onto a reduced, parametric basis
• 5.4 Matlab code
• References
• Index. .