| 書(shū)目名稱 | Retarded Potentials and Time Domain Boundary Integral Equations |
| 副標(biāo)題 | A Road Map |
| 編輯 | Francisco-Javier Sayas |
| 視頻video | http://file.papertrans.cn/829/828956/828956.mp4 |
| 概述 | Full description of the rudiments of the vector-valued distributions as needed for the theory of time domain integral equations.First detailed exposition of the mathematical techniques for boundary in |
| 叢書(shū)名稱 | Springer Series in Computational Mathematics |
| 圖書(shū)封面 |  |
| 描述 | This book offers a thoroughand self-contained exposition of the mathematics of time-domain?boundaryintegral equations associated to the wave equation, including applications toscattering of acoustic?and elastic waves. The book offers two differentapproaches for the analysis of these integral equations, including asystematic?treatment of their numerical discretization using Galerkin(Boundary Element) methods in the space variables?and ConvolutionQuadrature in the time variable. The first approach follows classical workstarted in the late?eighties, based on Laplace transforms estimates. Thisapproach has been refined and made more accessible?by tailoring thenecessary mathematical tools, avoiding an excess of generality. A secondapproach contains a?novel point of view that the author and some of hiscollaborators have been developing in recent years, using?the semigrouptheory of evolution equations to obtain improved results. The extension toelectromagnetic waves is explained in one of the appendices. |
| 出版日期 | Book 2016 |
| 關(guān)鍵詞 | Acoustics; Boundary integral equation; Retarded potentials; Variational methods; Wave equation; partial d |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-26645-9 |
| isbn_softcover | 978-3-319-79986-5 |
| isbn_ebook | 978-3-319-26645-9Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer International Publishing Switzerland 2016 |