(Ilmumisaeg: 25-Apr-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031847042)
The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting. The main tools are the so-called homogenization algebras, the classi...Loe edasi...
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 a...Loe edasi...
In this monograph, we review the theory and establish new and general results regarding spreading properties for heterogeneous reaction-diffusion equations. These are concerned with the dynamics of the solution starting from initial data with compac...Loe edasi...
The book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics. Presenting original solutions to common issues, it builds upon years of research to demonstrate the benefits of implementing asy...Loe edasi...
(Ilmumisaeg: 30-Apr-2023, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031218323)
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 a...Loe edasi...
(Ilmumisaeg: 20-Feb-2023, Paperback / softback, Kirjastus: De Gruyter, ISBN-13: 9783110793512)
Almost all materials are inhomogeneous at the microscale. Typical examples are fiber- and grain structures made of anisotropic phases. These cannot be accounted for in detail in engineering calculations. Instead, effective, homogeneous material pr...Loe edasi...
Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in c...Loe edasi...
This book contains some of the results presented at the mini-symposium titled Emerging Problems in the Homogenization of Partial Differential Equations, held during the ICIAM2019 conference in Valencia in July 2019. The papers cover a lar...Loe edasi...
This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics, notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics, this book buil...Loe edasi...
This book contains some of the results presented at the mini-symposium titled Emerging problems in the Homogenization of Partial Differential Equations, held during the ICIAM2019 conference in Valencia in July 2019. The papers cover a lar...Loe edasi...
(Ilmumisaeg: 30-Dec-2020, Paperback / softback, Kirjastus: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611976441)
Presents the first survey of the Localized Orthogonal Decomposition (LOD) method, a pioneering approach for the numerical homogenization of partial differential equations with multiscale data beyond periodicity and scale separation....Loe edasi...
This book provides a thorough introduction to homogenization, a modeling procedure used to describe processes in complicated structures with known microstructures. It first presents the theoretical foundations of this powerful tool of analysis. Bu...Loe edasi...
Efficient Methods to Solve Complex Coupled SystemsCoupled Systems: Theory, Models, and Applications in Engineering explains how to solve complicated coupled models in engineering using analytical and nume...Loe edasi...
This monograph surveys the theory of quantitative homogenization for second-order linear elliptic systems in divergence form with rapidly oscillating periodic coefficients in a bounded domain. It begins with a review of the classical qualitative h...Loe edasi...
The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be foun...Loe edasi...
This book presents the classical results of the two-scale convergence theory and explains – using several figures – why it works. It then shows how to use this theory to homogenize ordinary differential equations with oscillating coefficients as...Loe edasi...
Yves Rémond, Said Ahzi, Majid Baniassadi, Hamid Garmestani
(Ilmumisaeg: 07-Jun-2016, Hardback, Kirjastus: ISTE Ltd and John Wiley & Sons Inc, ISBN-13: 9781848219014)
Statistical descriptors that can be used to describe the morphology and the microstructure-properties relationship. A comprehensive study has been performed for the use of these correlation functions for the reconstruction and homogenization in na...Loe edasi...
Sari: Oxford Lecture Series in Mathematics and Its Applications
(Ilmumisaeg: 14-May-2015, Hardback, Kirjastus: Oxford University Press, ISBN-13: 9780199666577)
The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers.This monograph provides a...Loe edasi...
Recent advances in functional analysis and homogenization have multiple applications in modeling the mechanics of masonry structures. This book has more than 50 examples that help readers master the use of unilateral and interface models....Loe edasi...
In this monograph, we describe the theoretical and practical aspects of solving complicated and coupled models in engineering with analytical and numerical methods. Often such models are so delicate such that we need e cient solver methods to overco...Loe edasi...
