Getting Acquainted With Homogenization And Multiscale

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Getting Acquainted With Homogenization And Multiscale

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Author : Leonid Berlyand
language : en
Publisher: Springer
Release Date : 2018-11-22

Getting Acquainted With Homogenization And Multiscale written by Leonid Berlyand and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-22 with Mathematics categories.

The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.

Homogenization Theory For Multiscale Problems

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Author : Xavier Blanc
language : en
Publisher: Springer Nature
Release Date : 2023-04-29

Homogenization Theory For Multiscale Problems written by Xavier Blanc and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-29 with Mathematics categories.

The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.

Nonlinear Reaction Diffusion Processes For Nanocomposites

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Author : Jesús Ildefonso Díaz
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-06-21

Nonlinear Reaction Diffusion Processes For Nanocomposites written by Jesús Ildefonso Díaz and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-21 with Mathematics categories.

The behavior of materials at the nanoscale is a key aspect of modern nanoscience and nanotechnology. This book presents rigorous mathematical techniques showing that some very useful phenomenological properties which can be observed at the nanoscale in many nonlinear reaction-diffusion processes can be simulated and justified mathematically by means of homogenization processes when a certain critical scale is used in the corresponding framework.

Computational Homogenization Of Heterogeneous Materials With Finite Elements

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Author : Julien Yvonnet
language : en
Publisher: Springer
Release Date : 2019-06-11

Computational Homogenization Of Heterogeneous Materials With Finite Elements written by Julien Yvonnet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-11 with Mathematics categories.

This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.​

Homog N Isation En Milieu P Riodique Ou Non

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Author : Xavier Blanc
language : fr
Publisher: Springer Nature
Release Date : 2023-05-14

Homog N Isation En Milieu P Riodique Ou Non written by Xavier Blanc and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-14 with Mathematics categories.

The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering. ​Cet ouvrage est une introduction pédagogique à la théorie de l’homogénéisation, et aux approches numériques associées, pour la compréhension et la simulation des problèmes à plusieurs échelles. La présentation est axée sur les différentes hypothèses possibles pour mettre en œuvre la théorie, selon que le milieu ambiant a une géométrie périodique ou non. Le public visé est celui des cycles M et D des universités ainsi que celui des écoles d’ingénieurs et formations équivalentes.

An Introduction To Homogenization

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Author : Doïna Cioranescu
language : en
Publisher:
Release Date : 1999-09-01

An Introduction To Homogenization written by Doïna Cioranescu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-01 with Homogenization (Differential equations) categories.

Numerical Simulation In Molecular Dynamics

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Author : Michael Griebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-08-16

Numerical Simulation In Molecular Dynamics written by Michael Griebel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-16 with Science categories.

This book details the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating computer particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique. It illustrates modeling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. The text offers step-by-step explanations of numerical simulation, providing illustrative code examples. With the description of the algorithms and the presentation of the results of various simulations from fields such as material science, nanotechnology, biochemistry and astrophysics, the reader of this book will learn how to write programs capable of running successful experiments for molecular dynamics.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2007

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

An Introduction To Reservoir Simulation Using Matlab Gnu Octave

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Author : Knut-Andreas Lie
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-08

An Introduction To Reservoir Simulation Using Matlab Gnu Octave written by Knut-Andreas Lie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-08 with Business & Economics categories.

Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.

Modeling In Engineering Using Innovative Numerical Methods For Solids And Fluids

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Author : Laura De Lorenzis
language : en
Publisher: Springer Nature
Release Date : 2020-02-08

Modeling In Engineering Using Innovative Numerical Methods For Solids And Fluids written by Laura De Lorenzis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-08 with Science categories.

The book examines innovative numerical methods for computational solid and fluid mechanics that can be used to model complex problems in engineering. It also presents innovative and promising simulation methods, including the fundamentals of these methods, as well as advanced topics and complex applications. Further, the book explores how numerical simulations can significantly reduce the number of time-consuming and expensive experiments required, and can support engineering decisions by providing data that would be very difficult, if not impossible, to obtain experimentally. It also includes chapters covering topics such as particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations; fictitious domain methods; phase field models; computational fluid dynamics based on modern finite volume schemes; hybridizable discontinuous Galerkin methods; and non-intrusive coupling methods for structural models.