书目名称 | Computational Micromagnetism | 编辑 | Andreas Prohl | 视频video | http://file.papertrans.cn/233/232808/232808.mp4 | 概述 | A numerical analysis | 丛书名称 | Advances in Numerical Mathematics | 图书封面 |  | 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 | doi | https://doi.org/10.1007/978-3-663-09498-2 | isbn_softcover | 978-3-519-00358-8 | isbn_ebook | 978-3-663-09498-2Series ISSN 1616-2994 | issn_series | 1616-2994 | copyright | Springer Fachmedien Wiesbaden 2001 |
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