| 书目名称 | Finite Elements I |
| 副标题 | Approximation and In |
| 编辑 | Alexandre Ern,Jean-Luc Guermond |
| 视频video | |
| 概述 | Structured to allow for concise development of ideas in a classroom setting.Includes chapter-level exercises with solutions available online.Provides proofs and examples throughout each chapter.Aimed |
| 丛书名称 | Texts in Applied Mathematics |
| 图书封面 |  |
| 描述 | .This book is the first 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 I is divided into 23 chapters plus two appendices on Banach and Hilbert spaces and on differential calculus. This volume focuses on the fundamental ideas regarding the construction of finite elements and their approximation properties. It addresses the all-purpose Lagrange finite elements, but also vector-valued finite elements that are crucial to approximate the divergence and the curl operators. In addition, it also presents and analyzes quasi-interpolation operators and local commuting projections. The volume starts with four chapters on functional analysis, which ar |
| 出版日期 | Textbook 2021 |
| 关键词 | Finite Elements; Finite Element Method; Functional Analysis; Differential Calculus and Geometry; Interpo |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-030-56341-7 |
| isbn_softcover | 978-3-030-56342-4 |
| isbn_ebook | 978-3-030-56341-7Series ISSN 0939-2475 Series E-ISSN 2196-9949 |
| issn_series | 0939-2475 |
| copyright | Springer Nature Switzerland AG 2021 |
发表于 2025-3-21 18:56:49
