| 书目名称 | Finite Element and Discontinuous Galerkin Methods for Transient Wave Equations |
| 编辑 | Gary Cohen,Sébastien Pernet |
| 视频video | |
| 概述 | Provides a survey of methods for time domain wave propagation problems.Features novel, efficient algorithms for solving wave equations.Includes accurate dispersion analysis and error estimates for hyb |
| 丛书名称 | Scientific Computation |
| 图书封面 |  |
| 描述 | This monograph presents numerical methods for solving transient wave equations (i.e. in time domain). More precisely, it provides an overview of continuous and discontinuous finite element methods for these equations, including their implementation in physical models, an extensive description of 2D and 3D elements with different shapes, such as prisms or pyramids, an analysis of the accuracy of the methods and the study of the Maxwell’s system and the important problem of its spurious free approximations. After recalling the classical models, i.e. acoustics, linear elastodynamics and electromagnetism and their variational formulations, the authors present a wide variety of finite elements of different shapes useful for the numerical resolution of wave equations. Then, they focus on the construction of efficient continuous and discontinuous Galerkin methods and study their accuracy by plane wave techniques and a priori error estimates. A chapter is devoted to the Maxwell’s system and the important problem of its spurious-free approximations. Treatment of unbounded domains by Absorbing Boundary Conditions (ABC) and Perfectly Matched Layers (PML) is described and analyzed in a separat |
| 出版日期 | Book 2017 |
| 关键词 | Mass-Lumping; Numerical dispersion; a priori Error Estimates; Absorbing boundary conditions; Perfectly m |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-94-017-7761-2 |
| isbn_softcover | 978-94-024-1402-8 |
| isbn_ebook | 978-94-017-7761-2Series ISSN 1434-8322 Series E-ISSN 2198-2589 |
| issn_series | 1434-8322 |
| copyright | Springer Science+Business Media Dordrecht 2017 |
发表于 2025-3-21 17:59:24
