LEADER 03249oam 22005175 450 001 9910728936503321 005 20231114205452.0 010 $a9783031304224$b(electronic bk.) 010 $z9783031304217 024 7 $a10.1007/978-3-031-30422-4 035 $a(MiAaPQ)EBC7254948 035 $a(Au-PeEL)EBL7254948 035 $a(OCoLC)1381093319 035 $a(DE-He213)978-3-031-30422-4 035 $a(BIP)089230905 035 $a(PPN)270612629 035 $a(CKB)26815439200041 035 $a(EXLCZ)9926815439200041 100 $a20230531d2023 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEnhanced introduction to finite elements for engineers /$fUwe Mühlich 205 $a1st ed. 2023. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023. 215 $a1 online resource (205 pages) 225 1 $aSolid Mechanics and Its Applications,$x2214-7764 311 08$aPrint version: Mühlich, Uwe Enhanced Introduction to Finite Elements for Engineers Cham : Springer International Publishing AG,c2023 9783031304217 320 $aIncludes bibliographical references and index. 327 $aChapter 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. 330 $aThe book presents the fundamentals of the Galerkin Finite Element Method for linear boundary value problems from an engineering perspective. Emphasis is given to the theoretical foundation of the method rooted in Functional Analysis using a language accessible to engineers. The book discusses standard procedures for applying the method to time-dependent and nonlinear problems and addresses essential aspects of applying the method to non-linear dynamics and multi-physics problems. It also provides several hand-calculation exercises as well as specific computer exercises with didactic character. About one fourth of the exercises reveals common pitfalls and sources of errors when applying the method. Carefully selected literature recommendations for further studies are provided at the end of each chapter. The reader is expected to have prior knowledge in engineering mathematics, in particular real analysis and linear algebra. The elements of algebra and analysis required in the main part of the book are presented in corresponding sections of the appendix. Students should already have an education in strength of materials or another engineering field, such as heat or mass transport, which discusses boundary value problems for simple geometries and boundary conditions. 410 0$aSolid Mechanics and Its Applications,$x2214-7764 ;$v268 606 $aFinite element method 606 $aEngineering 615 0$aFinite element method. 615 0$aEngineering. 676 $a620.00151825 700 $aMu?hlich$b Uwe$00 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910728936503321 996 $aEnhanced Introduction to Finite Elements for Engineers$93389797 997 $aUNINA