书目名称 | Foundations of the Complex Variable Boundary Element Method |
编辑 | Theodore Hromadka,Robert Whitley |
视频video | |
概述 | Provides the reader with the tools for extending and using the CVBEM in various applications.Guides the reader through the key topics necessary for an understanding of the development of the CVBEM in |
丛书名称 | SpringerBriefs in Applied Sciences and Technology |
图书封面 |  |
描述 | This book explains and examines the theoretical underpinnings of the Complex Variable Boundary Element Method (CVBEM) as applied to higher dimensions, providing the reader with the tools for extending and using the CVBEM in various applications. Relevant mathematics and principles are assembled and the reader is guided through the key topics necessary for an understanding of the development of the CVBEM in both the usual two as well as three or higher dimensions. In addition to this, problems are provided that build upon the material presented. The Complex Variable Boundary Element Method (CVBEM) is an approximation method useful for solving problems involving the Laplace equation in two dimensions. It has been shown to be a useful modelling technique for solving two-dimensional problems involving the Laplace or Poisson equations on arbitrary domains. The CVBEM has recently been extended to 3 or higher spatial dimensions, which enables the precision of the CVBEM in solving the Laplace equation to be now available for multiple dimensions. The mathematical underpinnings of the CVBEM, as well as the extension to higher dimensions, involve several areas of applied and pure mathematics |
出版日期 | Book 2014 |
关键词 | Banach Spaces; Complex Variable Boundary Element Method (CVBEM); Dirichlet Problem; Hilbert Spaces; Lapl |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-05954-9 |
isbn_softcover | 978-3-319-05953-2 |
isbn_ebook | 978-3-319-05954-9Series ISSN 2191-530X Series E-ISSN 2191-5318 |
issn_series | 2191-530X |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |