书目名称 | Finite Elements III |
副标题 | First-Order and Time |
编辑 | Alexandre Ern,Jean-Luc Guermond |
视频video | |
概述 | Short chapters allow for development of ideas in a classroom setting.Many exercises and hints included.Well adapted for graduate flipped classes.Part of a three volume work |
丛书名称 | Texts in Applied Mathematics |
图书封面 |  |
描述 | .This book is the third volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate for graduate flipped classes. Each volume is divided into short chapters. Each chapter can be covered in one teaching unit and includes exercises as well as solutions available from a dedicated website. The salient ideas can be addressed during lecture, with the rest of the content assigned as reading material. To engage the reader, the text combines examples, basic ideas, rigorous proofs, and pointers to the literature to enhance scientific literacy..Volume III is divided into 28 chapters. The first eight chapters focus on the symmetric positive systems of first-order PDEs called Friedrichs‘ systems. This part of the book presents a comprehensive and unified treatment of various stabilization techniques from the existing literature. It discusses applications to advection and advection-diffusion equations and various PDEs written in mixed form such as Darcy and Stokes flows and Maxwell‘s equations. The remainder of Volume III addresses time-dependent problems: parabolic equations (such as the heat equation), evolution equat |
出版日期 | Textbook 2021 |
关键词 | Finite Elements; Finite Elements Method; Partial Differential Equations; Elliptic Partial Differential |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-57348-5 |
isbn_softcover | 978-3-030-57349-2 |
isbn_ebook | 978-3-030-57348-5Series ISSN 0939-2475 Series E-ISSN 2196-9949 |
issn_series | 0939-2475 |
copyright | Springer Nature Switzerland AG 2021 |