书目名称 | The Fast Solution of Boundary Integral Equations | 编辑 | Sergej Rjasanow,Olaf Steinbach | 视频video | | 概述 | Provides an exact mathematical description of various mathematical formulations and numerical methods for boundary integral equations in the three-dimensional case in a unified and compact form.a syst | 丛书名称 | Mathematical and Analytical Techniques with Applications to Engineering | 图书封面 |  | 描述 | .Boundary Element Methods (BEM) play an important role in modern numerical computations in the applied and engineering sciences. These methods turn out to be powerful tools for numerical studies of various physical phenomena which can be described mathematically by partial differential equations...The most prominent example is the potential equation (Laplace equation), which is used to model physical phenomena in electromagnetism, gravitation theory, and in perfect fluids. A further application leading to the Laplace equation is the model of steady state heat flow. One of the most popular applications of the BEM is the system of linear elastostatics, which can be considered in both bounded and unbounded domains. A simple model for a fluid flow, the Stokes system, can also be solved by the use of the BEM. The most important examples for the Helmholtz equation are the acoustic scattering and the sound radiation...The Fast Solution of Boundary Integral Equations provides a detailed description of fast boundary element methods which are based on rigorous mathematical analysis. In particular, a symmetric formulation of boundary integral equations is used, Galerkin discretisation is disc | 出版日期 | Book 2007 | 关键词 | Boundaryintegralequations; Fastboundaryelementmethods; Helmholtz equation; Implementations; Potential; al | 版次 | 1 | doi | https://doi.org/10.1007/0-387-34042-4 | isbn_softcover | 978-1-4419-4160-2 | isbn_ebook | 978-0-387-34042-5Series ISSN 1559-7458 Series E-ISSN 1559-7466 | issn_series | 1559-7458 | copyright | Springer-Verlag US 2007 |
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