書(shū)目名稱(chēng) | Fourier BEM |
副標(biāo)題 | Generalization of Bo |
編輯 | Fabian M. E. Duddeck |
視頻video | http://file.papertrans.cn/348/347246/347246.mp4 |
概述 | Concise and clear derivation of the traditional Galerkin-BEM approach.Large range of applications from solid mechanics.New generalization of BEM.Better theoretical insight.Includes supplementary mater |
叢書(shū)名稱(chēng) | Lecture Notes in Applied and Computational Mechanics |
圖書(shū)封面 |  |
描述 | Like FEM, the Boundary Element Method (BEM) provides a general numerical tool for the solution of complex engineering problems. In the last decades, the range of its applications has remarkably been enlarged. Therefore dynamic and nonlinear problems can be tackled. However they still demand an explicit expression of a fundamental solution, which is only known in simple cases. In this respect, the present book proposes an alternative BEM-formulation based on the Fourier transform, which can be applied to almost all cases relevant in engineering mechanics. The basic principle is presented for the heat equation. Applications are taken from solid mechanics (e.g. poroelasticity, thermoelasticity). Transient and stationary examples are given as well as linear and nonlinear. Completed with a mathematical and mechanical glossary, the book will serve as a comprehensive text book linking applied mathematics to real world engineering problems. |
出版日期 | Book 2002 |
關(guān)鍵詞 | Fourier transform; Numerical integration; Singular integral; Wavelet; engineering mechanics; finite eleme |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-540-45626-1 |
isbn_softcover | 978-3-642-07727-2 |
isbn_ebook | 978-3-540-45626-1Series ISSN 1613-7736 Series E-ISSN 1860-0816 |
issn_series | 1613-7736 |
copyright | Springer-Verlag Berlin Heidelberg 2002 |