03249oam 22005175 450 991072893650332120231114205452.09783031304224(electronic bk.)978303130421710.1007/978-3-031-30422-4(MiAaPQ)EBC7254948(Au-PeEL)EBL7254948(OCoLC)1381093319(DE-He213)978-3-031-30422-4(BIP)089230905(PPN)270612629(CKB)26815439200041(EXLCZ)992681543920004120230531d2023 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierEnhanced introduction to finite elements for engineers /Uwe Mühlich1st ed. 2023.Cham :Springer International Publishing :Imprint: Springer,2023.1 online resource (205 pages)Solid Mechanics and Its Applications,2214-7764Print version: Mühlich, Uwe Enhanced Introduction to Finite Elements for Engineers Cham : Springer International Publishing AG,c2023 9783031304217 Includes bibliographical references and index.Chapter 1. Introduction -- Chapter 2. Linear boundary value problems -- Chapter 3. Linear initial boundary value problems -- Chapter 4. Non-linear boundary value problems -- Chapter 5. A primer on non-linear dynamics and multiphysics.The book presents the fundamentals of the Galerkin Finite Element Method for linear boundary value problems from an engineering perspective. Emphasis is given to the theoretical foundation of the method rooted in Functional Analysis using a language accessible to engineers. The book discusses standard procedures for applying the method to time-dependent and nonlinear problems and addresses essential aspects of applying the method to non-linear dynamics and multi-physics problems. It also provides several hand-calculation exercises as well as specific computer exercises with didactic character. About one fourth of the exercises reveals common pitfalls and sources of errors when applying the method. Carefully selected literature recommendations for further studies are provided at the end of each chapter. The reader is expected to have prior knowledge in engineering mathematics, in particular real analysis and linear algebra. The elements of algebra and analysis required in the main part of the book are presented in corresponding sections of the appendix. Students should already have an education in strength of materials or another engineering field, such as heat or mass transport, which discusses boundary value problems for simple geometries and boundary conditions.Solid Mechanics and Its Applications,2214-7764 ;268Finite element methodEngineeringFinite element method.Engineering.620.00151825Mühlich Uwe0MiAaPQMiAaPQMiAaPQ9910728936503321Enhanced Introduction to Finite Elements for Engineers3389797UNINA