| 書目名稱 | Theory and Practice of Finite Elements | | 編輯 | Alexandre Ern,Jean-Luc Guermond | | 視頻video | http://file.papertrans.cn/924/923677/923677.mp4 | | 概述 | Unique in that it manages to cover three different aspects of the finite element method in a single volume:.the rigorous mathematical theory, applications, and practical implementations of the method | | 叢書名稱 | Applied Mathematical Sciences | | 圖書封面 |  | | 描述 | The origins of the finite element method can be traced back to the 1950s when engineers started to solve numerically structural mechanics problems in aeronautics. Since then, the field of applications has widened steadily and nowadays encompasses nonlinear solid mechanics, fluid/structure interactions, flows in industrial or geophysical settings, multicomponent reactive turbulent flows, mass transfer in porous media, viscoelastic flows in medical sciences, electromagnetism, wave scattering problems, and option pricing (to cite a few examples). Numerous commercial and academic codes based on the finite element method have been developed over the years. The method has been so successful to solve Partial Differential Equations (PDEs) that the term "Finite Element Method" nowadays refers not only to the mere interpolation technique it is, but also to a fuzzy set of PDEs and approximation techniques. The efficiency of the finite element method relies on two distinct ingredi- ents: the interpolation capability of finite elements (referred to as the approx- imability property in this book) and the ability of the user to approximate his model (mostly a set of PDEs) in a proper mathematical | | 出版日期 | Textbook 2004 | | 關鍵詞 | Galerkin approximation; Sobolev space; algorithms; calculus; finite element method; finite elements; numer | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-4355-5 | | isbn_softcover | 978-1-4419-1918-2 | | isbn_ebook | 978-1-4757-4355-5Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer Science+Business Media New York 2004 |
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