LEADER 03406nam 22005775 450 001 9910983055803321 005 20260202123042.0 010 $a9783031725302$b(electronic bk.) 010 $z9783031725296 024 7 $a10.1007/978-3-031-72530-2 035 $a(MiAaPQ)EBC31756489 035 $a(Au-PeEL)EBL31756489 035 $a(CKB)36514560500041 035 $a(DE-He213)978-3-031-72530-2 035 $a(EXLCZ)9936514560500041 100 $a20241107d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFinite Element Approximation of Boundary Value Problems /$fby Franz Chouly 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2025. 215 $a1 online resource (161 pages) 225 1 $aCompact Textbooks in Mathematics,$x2296-455X 311 08$aPrint version: Chouly, Franz Finite Element Approximation of Boundary Value Problems Cham : Birkhäuser Boston,c2024 9783031725296 327 $a-- Introduction. -- A simple mathematical model. -- Low order Lagrange Finite Elements. -- The standard Finite Element Method. -- Nitsche Finite Element Method. -- Nitsche for Signorini. -- About meshing and discretization error. 330 $aThis textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. The author accomplishes this, in part, by including numerous exercises and illustrations. Each chapter begins with a clear outline to help make complex concepts more approachable without sacrificing depth. Structurally, the book begins with the simplest type of finite element method: low order, piecewise continuous, Lagrange finite elements. With this, crucial questions about the stability and approximation errors are answered. Of particular note is the author?s coverage of two specific topics that often go overlooked in introductory material. The first is the numerical treatment of boundary conditions, especially the Nitsche technique. The second is a detailed explanation of the discretization error using specific techniques of a posteriori error estimation. With the book?s compact yet thorough treatment of these areas, readers will have a clear understanding of how mathematical analysis tools can be used in practice. Finite Element Approximation of Boundary Value Problems will be suitable as a supplementary textbook in applied mathematics courses for graduate students, and may also be used for self-study. 410 0$aCompact Textbooks in Mathematics,$x2296-455X 606 $aNumerical analysis 606 $aDifferential equations 606 $aNumerical Analysis 606 $aDifferential Equations 606 $aAnàlisi numèrica$2thub 606 $aEquacions diferencials$2thub 608 $aLlibres electrònics$2thub 615 0$aNumerical analysis. 615 0$aDifferential equations. 615 14$aNumerical Analysis. 615 24$aDifferential Equations. 615 7$aAnàlisi numèrica. 615 7$aEquacions diferencials 676 $a518 700 $aChouly$b Franz$01373336 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910983055803321 996 $aFinite Element Approximation of Boundary Value Problems$94316089 997 $aUNINA