{"product_id":"finite-elements-ii-galerkin-approximation-elliptic-and-mixed-pdes-9783030569242","title":"Finite Elements II: Galerkin Approximation, Elliptic and Mixed PDEs","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003e\n\u003cbr\u003eThis book is a comprehensive textbook suitable for graduate coursework, professional engineering, and academic research, divided into short chapters with exercises and solutions. It covers elliptic and mixed PDEs, including approximation techniques, and applies them to various problems. The appendix provides results on linear operators in Banach spaces. \u003c\/blockquote\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 492 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 23 April 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eThis comprehensive textbook serves as the second installment of a three-part series designed for advanced study, professional engineering practice, and academic research. It is also well-suited for graduate flipped courses. Each volume in the series is thoughtfully structured into concise chapters, making it convenient for teaching purposes. Each chapter can be effectively covered in a single teaching session, accompanied by comprehensive exercises and solutions accessible through a dedicated website. The text employs a lively blend of examples, fundamental concepts, rigorous proofs, and insightful references to the literature to foster scientific literacy.\u003cbr\u003e\u003cbr\u003eVolume II is organized into 32 chapters, along with an appendix. The first part of the volume delves into the approximation of elliptic and mixed partial differential equations (PDEs), commencing with foundational results on well-posed weak formulations and their approximation through the Galerkin method. The topics covered encompass essential findings such as the BNB theorem, Céa's and Strang's lemmas, and the duality argument by Aubin and Nitsche. Additionally, important implementation considerations related to quadratures, linear algebra, and assembly are addressed.\u003cbr\u003e\u003cbr\u003eThe remaining chapters of Volume II are dedicated to PDEs that possess a coercivity property. This section explores conforming and nonconforming approximation techniques (Galerkin, boundary penalty, Crouzeix-Raviart, discontinuous Galerkin, hybrid high-order methods). These techniques are applied to a wide range of PDEs, including elliptic PDEs (diffusion, elasticity, the Helmholtz problem, Maxwell's equations), eigenvalue problems for elliptic PDEs, and PDEs in mixed form (Darcy and Stokes flows).\u003cbr\u003e\u003cbr\u003eIn conclusion, this textbook offers a valuable resource for advanced students, professionals, and researchers in the field of partial differential equations. Its comprehensive coverage, engaging writing style, and extensive exercises and solutions make it an essential tool for advancing knowledge and understanding in this complex subject area.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 856g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 154 x 234 x 27 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030569242\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2021\u003c\/p\u003e","brand":"Alexandre Ern,Jean-Luc Guermond","offers":[{"title":"Paperback \/ softback","offer_id":45290369876218,"sku":"9783030569242","price":41.64,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/1707488266006_book.jpg?v=1707554194","url":"https:\/\/shulphink.com\/products\/finite-elements-ii-galerkin-approximation-elliptic-and-mixed-pdes-9783030569242","provider":"Shulph Ink","version":"1.0","type":"link"}