| 书目名称 | Finite Elements II | | 副标题 | Galerkin Approximati | | 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 | | 丛书名称 | Texts in Applied Mathematics | | 图书封面 |  | | 描述 | .This book is the second 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 II is divided into 32 chapters plus one appendix. The first part of the volume focuses on the approximation of elliptic and mixed PDEs, beginning with fundamental results on well-posed weak formulations and their approximation by the Galerkin method. The material covered includes key results such as the BNB theorem based on inf-sup conditions, Céa‘s and Strang‘s lemmas, and the duality argument by Aubin and Nitsche. Important implementation aspects regarding quadratures, linear algebra, and assembling are also covered. The remainder of Volume II focuses on PDEs where a | | 出版日期 | Textbook 2021 | | 关键词 | Finite Elements; Finite Element Method; Partial Differential Equations; Elliptic Partial Differential E | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-56923-5 | | isbn_softcover | 978-3-030-56924-2 | | isbn_ebook | 978-3-030-56923-5Series ISSN 0939-2475 Series E-ISSN 2196-9949 | | issn_series | 0939-2475 | | copyright | Springer Nature Switzerland AG 2021 |
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发表于 2025-3-21 17:27:30
