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Autor(en): 
  • Franz Chouly
  • Finite Element Approximation of Boundary Value Problems 
     

    (Buch)
    Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 2 Artikel!


    Übersicht

    Auf mobile öffnen
     
    Lieferstatus:   i.d.R. innert 5-10 Tagen versandfertig
    Veröffentlichung:  November 2024  
    Genre:  Schulbücher 
     
    aposteriorierrorestimation / Boundaryvalueproblems / Deny-Lionstheorem / Dirichletboundarycondition / discretizationerror / finiteelementmethod / Lagrangefiniteelements / Lipschitzdomains
    ISBN:  9783031725296 
    EAN-Code: 
    9783031725296 
    Verlag:  Birkhäuser 
    Einband:  Kartoniert  
    Sprache:  English  
    Dimensionen:  H 235 mm / B 155 mm / D 10 mm 
    Gewicht:  265 gr 
    Seiten:  168 
    Bewertung: Titel bewerten / Meinung schreiben
    Inhalt:
    This 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.

      



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