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Titlebook: Computational Micromagnetism; Andreas Prohl Textbook 2001 Springer Fachmedien Wiesbaden 2001 Direct Minimization.Micromagnetism.Nematic Li

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书目名称Computational Micromagnetism
编辑Andreas Prohl
视频videohttp://file.papertrans.cn/233/232808/232808.mp4
概述A numerical analysis
丛书名称Advances in Numerical Mathematics
图书封面Titlebook: Computational Micromagnetism;  Andreas Prohl Textbook 2001 Springer Fachmedien Wiesbaden 2001 Direct Minimization.Micromagnetism.Nematic Li
描述In this work, we study numerical issues related to a common mathematical model which describes ferromagnetic materials, both in a stationary and non­ stationary context. Electromagnetic effects are accounted for in an extended model to study nonstationary magneto-electronics. The last part deals with the numerical analysis of the commonly used Ericksen-Leslie model to study the fluid flow of nematic liquid crystals which find applications in display technologies, for example. All these mathematical models to describe different microstructural phe­ nomena share common features like (i) strong nonlinearities, and (ii) non­ convex side constraints (i.e., I m I = 1, almost everywhere in w C JRd, for the order parameter m : w -+ JRd). One key issue in numerical modeling of such problems is to make sure that the non-convex constraint is fulfilled for computed solutions. We present and analyze different solution strategies to deal with the variational problem of stationary micromagnetism, which builds part I of the book: direct minimization, convexification, and relaxation using Young measure-valued solutions. In particular, we address the following points: • Direct minimization: A spatia
出版日期Textbook 2001
关键词Direct Minimization; Micromagnetism; Nematic Liquid Crystals; Numerical Nonstationary; Numerical Station
版次1
doihttps://doi.org/10.1007/978-3-663-09498-2
isbn_softcover978-3-519-00358-8
isbn_ebook978-3-663-09498-2Series ISSN 1616-2994
issn_series 1616-2994
copyrightSpringer Fachmedien Wiesbaden 2001
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P. S. Shera,Vijay Kumar,Vikas Jindal non-convex, it is not weakly closed in ..(.; ℝ.), and a solution to (I.4) does not have to exist for uniaxial materials; cf. for instance [71]. An implication is that highly oscillatory minimizing sequences of . do not have weak limits in .. One way to overcome this problem is to convexify the anis
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Sucrose and osmotic dehydration,n magnetic recording, can have an enormous impact on future technologies. Their mathematical theory started with the introduction of the Landau-Lifshitz free energy; a numerical analysis of existing strategies to solve the corresponding minimization problem is presented in part I of this monograph.
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Binding of Sucralfate to the Mucosal SurfaceThe behavior of electromagnetic dynamic phenomena on small scales is described by the Maxwell-Landau-Lifshitz-Gilbert equations, shortly (MLLG).
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Susumu Okabe,Yoshiyasu Ogihara,Hiroyuki KobaThe (simplified) Ericksen-Leslie equations are modified Navier-Stokes equations that take account of the liquid crystallinity.
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