書目名稱 | Computational Micromagnetism | 編輯 | Andreas Prohl | 視頻video | http://file.papertrans.cn/233/232808/232808.mp4 | 概述 | A numerical analysis | 叢書名稱 | Advances in Numerical Mathematics | 圖書封面 |  | 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 | 關(guān)鍵詞 | 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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