| 书目名称 | Mathematical Aspects of Discontinuous Galerkin Methods |
| 编辑 | Daniele Antonio Di Pietro,Alexandre Ern |
| 视频video | |
| 概述 | Understanding the mathematical foundations helps the reader design methods for new applications.Bridging the gap between finite volumes, finite elements, and discontinuous Galerkin methods provides ne |
| 丛书名称 | Mathématiques et Applications |
| 图书封面 |  |
| 描述 | This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs‘ systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed. |
| 出版日期 | Book 2012 |
| 关键词 | Discontinuous Galerkin methods; First-order PDEs; Friedrichs‘ systems; Incompressible Navier-Stokes equ |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-22980-0 |
| isbn_softcover | 978-3-642-22979-4 |
| isbn_ebook | 978-3-642-22980-0Series ISSN 1154-483X Series E-ISSN 2198-3275 |
| issn_series | 1154-483X |
| copyright | Springer-Verlag Berlin Heidelberg 2012 |
发表于 2025-3-21 19:40:11
