| 书目名称 | Spectral Elements for Transport-Dominated Equations | | 编辑 | Daniele Funaro | | 视频video | | | 丛书名称 | Lecture Notes in Computational Science and Engineering | | 图书封面 |  | | 描述 | In the last few years there has been a growing interest in the development of numerical techniques appropriate for the approximation of differential model problems presenting multiscale solutions. This is the case, for instance, with functions displaying a smooth behavior, except in certain regions where sudden and sharp variations are localized. Typical examples are internal or boundary layers. When the number of degrees of freedom in the discretization process is not sufficient to ensure a fine resolution of the layers, some stabilization procedures are needed to avoid unpleasant oscillatory effects, without adding too much artificial viscosity to the scheme. In the field of finite elements, the streamline diffusion method, the Galerkin least-squares method, the bub ble function approach, and other recent similar techniques provide excellent treatments of transport equations of elliptic type with small diffusive terms, referred to in fluid dynamics as advection-diffusion (or convection-diffusion) equations. Goals This book is an attempt to guide the reader in the construction of a computa tional code based on the spectral collocation method, using algebraic polyno mials. The m | | 出版日期 | Book 1997 | | 关键词 | Gebietszerlegungsmethoden; Spektralkollokationsverfahren; Transport-dominierte Gleichungen; domain deco | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-59185-3 | | isbn_softcover | 978-3-540-62649-7 | | isbn_ebook | 978-3-642-59185-3Series ISSN 1439-7358 Series E-ISSN 2197-7100 | | issn_series | 1439-7358 | | copyright | Springer-Verlag Berlin Heidelberg 1997 |
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发表于 2025-3-21 16:13:29
