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The General Theory Of Homogenization


The General Theory Of Homogenization
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The General Theory Of Homogenization


The General Theory Of Homogenization
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Author : Luc Tartar
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-03

The General Theory Of Homogenization written by Luc Tartar 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 2009-12-03 with Science categories.


Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses various topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of François Murat and the author, and some responsible for the appearance of nonlocal effects, which many theories in continuum mechanics or physics guessed wrongly. For a better understanding of 20th century science, new mathematical tools must be introduced, like the author’s H-measures, variants by Patrick Gérard, and others yet to be discovered.



An Introduction To Homogenization


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.




Homogenization Theory For Multiscale Problems


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.



Homogenization And Structural Topology Optimization


Homogenization And Structural Topology Optimization
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Author : Behrooz Hassani
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Homogenization And Structural Topology Optimization written by Behrooz Hassani 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 2012-12-06 with Mathematics categories.


Structural topology optimization is a fast growing field that is finding numerous applications in automotive, aerospace and mechanical design processes. Homogenization is a mathematical theory with applications in several engineering problems that are governed by partial differential equations with rapidly oscillating coefficients Homogenization and Structural Topology Optimization brings the two concepts together and successfully bridges the previously overlooked gap between the mathematical theory and the practical implementation of the homogenization method. The book is presented in a unique self-teaching style that includes numerous illustrative examples, figures and detailed explanations of concepts. The text is divided into three parts which maintains the book's reader-friendly appeal.



Homogenization And Porous Media


Homogenization And Porous Media
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Author : Ulrich Hornung
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Homogenization And Porous Media written by Ulrich Hornung 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 2012-12-06 with Mathematics categories.


This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.



Maxwell S Equations


Maxwell S Equations
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Author : Ulrich Langer
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-07-08

Maxwell S Equations written by Ulrich Langer 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 2019-07-08 with Mathematics categories.


This volume collects longer articles on the analysis and numerics of Maxwell’s equations. The topics include functional analytic and Hilbert space methods, compact embeddings, solution theories and asymptotics, electromagnetostatics, time-harmonic Maxwell’s equations, time-dependent Maxwell’s equations, eddy current approximations, scattering and radiation problems, inverse problems, finite element methods, boundary element methods, and isogeometric analysis.



Harmonic Analysis And Applications


Harmonic Analysis And Applications
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Author : Carlos E. Kenig
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-12-14

Harmonic Analysis And Applications written by Carlos E. Kenig and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-14 with Education categories.


The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.



Advanced Manufacturing Processes Vi


Advanced Manufacturing Processes Vi
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Author : Volodymyr Tonkonogyi
language : en
Publisher: Springer Nature
Release Date : 2025-02-13

Advanced Manufacturing Processes Vi written by Volodymyr Tonkonogyi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-13 with Technology & Engineering categories.


This book offers a timely snapshot of innovative research and developments at the interface between design, manufacturing, materials, mechanical and process engineering, and quality assurance. It covers various manufacturing processes, such as grinding, turning, drilling, milling, broaching, and gear machining, including additive manufacturing, strengthening, electro-mechanical processing, vacuum technology, and deforming broaching. It focuses on computer and numerical simulation, mathematical and reliability modeling, and machine learning models for manufacturing systems and processes. It describes innovative cutting and abrasive processes and combined technologies. It also investigates the electrical resistance, self-sharping effect, strengthening, heat treatment, surface peening, and heat resistance of various coatings and materials. Gathering the best papers presented at the 6th Grabchenko’s International Conference on Advanced Manufacturing Processes (InterPartner-2024), held in Odesa, Ukraine, on September 10–13, 2024, this book provides a comprehensive and up-to-date examination of design, manufacturing, mechanical, materials, and process engineering, as well as quality assurance trends and technologies. It also aims to foster international and interdisciplinary communication and collaborations, offering a bridge between the academic and industrial sectors.



Proceedings Of The V Wigner Symposium


Proceedings Of The V Wigner Symposium
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Author : Peter Kasperkovitz
language : en
Publisher: World Scientific
Release Date : 1998-06-30

Proceedings Of The V Wigner Symposium written by Peter Kasperkovitz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-06-30 with categories.


The Wigner Symposia deal with the most recent developments in those mathematical areas which were introduced to physics by E P Wigner, and also with related fields. The central themes of the proceedings of the 5th Wigner Symposium (WigSym5) are quantum algebras and groups, group-theoretical developments, quantum field theory and geometry, and phase space formulations of quantum mechanics. The proceedings also contain papers on the application of these techniques in various branches of physics, and many contributions in which fundamental mathematical and epistemological questions related to the foundations of quantum theory are discussed.



Computational Homogenization Of Heterogeneous Materials With Finite Elements


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.​