標題: Titlebook: Getting Acquainted with Homogenization and Multiscale; Leonid Berlyand,Volodymyr Rybalko Textbook 2018 Springer Nature Switzerland AG 2018 [打印本頁] 作者: 習慣 時間: 2025-3-21 20:09
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書目名稱Getting Acquainted with Homogenization and Multiscale讀者反饋學科排名
作者: 背信 時間: 2025-3-22 00:19 作者: 野蠻 時間: 2025-3-22 01:29
Leonid Berlyand,Volodymyr RybalkoDevelopment of an intuitive understanding that complements rigorous mathematics.Makes advanced mathematical tools and concepts accessible to non-experts.Presentations in all Chapters is supplied with 作者: 使隔離 時間: 2025-3-22 04:47 作者: 平常 時間: 2025-3-22 10:29
Grundkurs Wirtschaftsinformatiker” which elucidates a key difference with the .-limit in continuum problems from .. We explain in detail the effect of convexification in the .-limit which applies to both discrete and continuum settings and emphasizes the crucial differences between homogenization for convex and nonconvex Lagrangians.作者: 保全 時間: 2025-3-22 14:22 作者: 保全 時間: 2025-3-22 18:49 作者: Paradox 時間: 2025-3-23 01:07
Formal Two-Scale Asymptotic Expansions and the Corrector Problem,f separation of slow and fast variables, proved to be extremely efficient not only in homogenization problems but also in the variety of other applications. In the context of the case study conductivity problem we also introduce the so-called corrector problem which is the heart of the homogenization method.作者: Transfusion 時間: 2025-3-23 03:27
Two-Scale Convergence, framework for many practical problems where the direct justification of asymptotic expansions becomes prohibitively cumbersome. In particular, we describe an interesting example of homogenization of well-known double-porosity problem that models fluid flow in porous media.作者: 迎合 時間: 2025-3-23 06:41 作者: 半球 時間: 2025-3-23 13:26 作者: alabaster 時間: 2025-3-23 16:00 作者: 講個故事逗他 時間: 2025-3-23 20:51 作者: 任意 時間: 2025-3-24 01:06 作者: 名義上 時間: 2025-3-24 04:48 作者: falsehood 時間: 2025-3-24 08:53
Kommandoprozeduren mit Eingaben,roblems with tiny holes, the transition from oscillating Riemannian metric to the homogenized Finsler metric in geometry, the negative effective Poisson ratio in heterogeneous elastic media and the development of new scales in nonconvex singularly perturbed variational problems.作者: Employee 時間: 2025-3-24 14:05 作者: phytochemicals 時間: 2025-3-24 15:23
framework and presenting some general facts on .-convergence, we then proceed with the homogenization of integral functionals. We use a 1D setting to explain ideas of the techniques while minimizing the technicalities.作者: Ledger 時間: 2025-3-24 20:49 作者: Mingle 時間: 2025-3-25 00:01
Preliminaries, the theory of weak solutions of PDEs. We also review several results from elementary analysis which are typically not covered in standard undergraduate courses (e.g., convex analysis and semicontinuity).作者: agitate 時間: 2025-3-25 04:49 作者: Conscientious 時間: 2025-3-25 09:34 作者: 我不怕犧牲 時間: 2025-3-25 13:36 作者: 安慰 時間: 2025-3-25 16:13
An Example of a Nonlinear Problem: Homogenization of Plasticity and Limit Loads, typically the most challenging part in the .-convergence approach, we use the convex duality approach. This parallels with the study of linear conductivity problem from . which also uses the idea of convex duality.作者: 貿易 時間: 2025-3-25 22:01 作者: 違法事實 時間: 2025-3-26 01:47
https://doi.org/10.1007/978-3-662-67828-2ne and two. This Chapter contains also an example of an inverse homogenization problem for thermo-elasticity. We describe mathematical features of this problem in a 1D setting and discuss the effect of negative effective thermal expansion observed in 2D and 3D cases, which is rather counterintuitive.作者: 使成整體 時間: 2025-3-26 07:35 作者: 膠狀 時間: 2025-3-26 08:33
What Is Homogenization and Multiscale? First Examples,ne and two. This Chapter contains also an example of an inverse homogenization problem for thermo-elasticity. We describe mathematical features of this problem in a 1D setting and discuss the effect of negative effective thermal expansion observed in 2D and 3D cases, which is rather counterintuitive.作者: 動物 時間: 2025-3-26 14:48
Introduction to Stochastic Homogenization,cloud. These examples are easy on the intuitive level but their rigorous mathematical understanding requires significant effort for someone with no experience in stochastic modeling. We conclude the chapter by a brief discussion of recent developments and provide a number of references for further reading.作者: colony 時間: 2025-3-26 20:33
,Kompaktheit und Abbildungsr?ume,s and facts about functional spaces are presented in more detail, especially those concerning Sobolev spaces. Special attention is also paid to the notion of weak convergence which plays a key role in homogenization theory. Since the book deals with PDEs, the chapter contains a minimal background on作者: gregarious 時間: 2025-3-27 00:34
https://doi.org/10.1007/978-3-662-67828-2s used as a case study throughout the textbook and state the homogenization theorem for this problem in arbitrary dimension. We introduce the reader to rigorous analysis by proving the homogenization theorem for the case study problem in the one dimensional case. This analysis demonstrates that even作者: 擴大 時間: 2025-3-27 02:35 作者: Hypomania 時間: 2025-3-27 06:30
Fundamentale verteilte Algorithmen,cs. The case study conductivity problem is used to illustrate the method of two-scale asymptotic expansions. This method, which is based on the idea of separation of slow and fast variables, proved to be extremely efficient not only in homogenization problems but also in the variety of other applica作者: Infiltrate 時間: 2025-3-27 11:28 作者: 歡呼 時間: 2025-3-27 14:27 作者: 護航艦 時間: 2025-3-27 19:22
Informationssysteme für das Managementimensions other than one. However, there are important examples of structures where effective coefficients are calculated explicitly. This is the case for the so-called laminated structures in which multidimensional cell problems can be reduced to one-dimensional problems. In this chapter we also pr作者: PHIL 時間: 2025-3-28 00:28 作者: Mercantile 時間: 2025-3-28 05:15 作者: 萬靈丹 時間: 2025-3-28 09:06 作者: Ingenuity 時間: 2025-3-28 11:15
Grundkurs Wirtschaftsinformatiker” which elucidates a key difference with the .-limit in continuum problems from .. We explain in detail the effect of convexification in the .-limit which applies to both discrete and continuum settings and emphasizes the crucial differences between homogenization for convex and nonconvex Lagrangi作者: 星球的光亮度 時間: 2025-3-28 15:40
Preliminaries,s and facts about functional spaces are presented in more detail, especially those concerning Sobolev spaces. Special attention is also paid to the notion of weak convergence which plays a key role in homogenization theory. Since the book deals with PDEs, the chapter contains a minimal background on作者: Confess 時間: 2025-3-28 19:17 作者: 懸掛 時間: 2025-3-29 01:03
Brief History and Surprising Examples in Homogenization,d Lord Rayleigh in the 19th century. We proceed with discussion on modern homogenization theory which was born in the 1960s and is actively developing nowadays. We also describe some interesting and surprising results, such as the so-called strange term appearing in the homogenization of Dirichlet p作者: ORE 時間: 2025-3-29 04:23
Formal Two-Scale Asymptotic Expansions and the Corrector Problem,cs. The case study conductivity problem is used to illustrate the method of two-scale asymptotic expansions. This method, which is based on the idea of separation of slow and fast variables, proved to be extremely efficient not only in homogenization problems but also in the variety of other applica作者: intolerance 時間: 2025-3-29 09:56
Compensated Compactness and Oscillating Test Functions,ormal expansions can become rather cumbersome. This chapter is devoted to an alternative justification approach that is much simpler to implement. It is based on the use of specially chosen oscillating test functions in the weak formulation of the problem so that upon passing to the limit one obtain作者: contrast-medium 時間: 2025-3-29 14:12 作者: exostosis 時間: 2025-3-29 19:35
