书目名称 | Parallel Multilevel Methods |
副标题 | Adaptive Mesh Refine |
编辑 | Gerhard Zumbusch |
视频video | |
概述 | Paralleles Rechnen - Mehrgitterverfahren und Adaptive Gitterverfeinerung |
丛书名称 | Advances in Numerical Mathematics |
图书封面 |  |
描述 | Numerical simulation promises new insight in science and engineering. In ad dition to the traditional ways to perform research in science, that is laboratory experiments and theoretical work, a third way is being established: numerical simulation. It is based on both mathematical models and experiments con ducted on a computer. The discipline of scientific computing combines all aspects of numerical simulation. The typical approach in scientific computing includes modelling, numerics and simulation, see Figure l. Quite a lot of phenomena in science and engineering can be modelled by partial differential equations (PDEs). In order to produce accurate results, complex models and high resolution simulations are needed. While it is easy to increase the precision of a simulation, the computational cost of doing so is often prohibitive. Highly efficient simulation methods are needed to overcome this problem. This includes three building blocks for computational efficiency, discretisation, solver and computer. Adaptive mesh refinement, high order and sparse grid methods lead to discretisations of partial differential equations with a low number of degrees of freedom. Multilevel iterativ |
出版日期 | Textbook 2003 |
关键词 | Adaptive Parallel Multilevel Methods; Adaptively Refined Grids; Multilevel Iterative Solver; Numerical |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-322-80063-3 |
isbn_softcover | 978-3-519-00451-6 |
isbn_ebook | 978-3-322-80063-3Series ISSN 1616-2994 |
issn_series | 1616-2994 |
copyright | B. G. Teubner Verlag / GWV Fachverlage GmbH, Wiesbaden 2003 |