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  • An Introduction to the Finite Element Method with the Variational Approach

    An Introduction to the Finite Element Method with the Variational Approach by Dixit, Prakash Mahadeo; Gautam, Sachin Singh;

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      • Publisher's listprice EUR 194.99
      • The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.

        80 872 Ft (77 021 Ft + 5% VAT)
      • Discount 10% (cc. 8 087 Ft off)
      • Discounted price 72 785 Ft (69 319 Ft + 5% VAT)

    80 872 Ft

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    Product details:

    • Publisher Elsevier Science
    • Date of Publication 24 April 2026

    • ISBN 9780443333897
    • Binding Paperback
    • No. of pages850 pages
    • Size 235x191 mm
    • Language English
    • 700

    Categories

    Long description:

    An Introduction to the Finite Element Method with the Variational Approach offers a comprehensive solution to the gaps often found in introductory texts on the Finite Element Method (FEM). The book provides a thorough introduction to the fundamental principles of linear and time-independent FEM within the variational framework. It meticulously covers the derivation of 1-D FEM equations based on variational functionals, encompassing both linear and higher-order elements, and shape functions driven by convergence criteria. Furthermore, it explores 1-D numerical integration, outlines coding procedures, and provides insights into handling material nonlinearity and time-dependent scenarios.

    Expanding into 2-D problems, the book offers derivations of 2-D FEM equations tailored to diverse engineering disciplines, including Steady-State Heat Conduction, Solid Mechanics (covering torsion, plane strain/axisymmetric cases, and the bending, stability, and vibrations of thin plates), as well as Fluid Mechanics (addressing incompressible inviscid and viscous fluids). It includes detailed discussions on element continuity, numerical integration techniques, and even includes 2-D codes for selected problems. The book concludes by delving into recent advancements in FEM, with a specific focus on applications in machine learning and isogeometric analysis.

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    Table of Contents:

    1. Introduction
    2. 1-D Variational Functional
    3. 1-D Ritz’s Method
    4. 1-D Variational FEM: Rod Extension Problem
    5. 1-D Variational FEM: Rod Extension Problem with Point Forces in the Interior
    6. Elements and Shape Functions for 1-D Variational FEM
    7. 1-D Weighted Residual Integral and Galerkin FEM
    8. 1-D Numerical Integration
    9. Coding for 1-D Variational and Galerkin FEM
    10. 1-D Galerkin FEM for Nonlinear Problems
    11. 1-D Galerkin FEM for Time-Dependent Problems
    12. 2-D Variational Functional
    13. Straight-Sided Elements with C0 Continuity for 2-D Variational FEM
    14. 2-D Variational FEM: 2D Steady-State Heat Conduction Problem
    15. Straight-Sided Elements with C1 Continuity for 2-D Variational FEM
    16. Variational FEM for 2-D Solid Mechanics Problems
    17. Variational FEM for 2-D Fluid Mechanics Problems
    18. Curved-Sided Elements with C0 Continuity for 2-D Variational FEM
    19. 2-D Codes for Solid Mechanics and Heat Transfer Problems
    20. Overview of Some Recent Developments
    21. Machine Learning and Isogeometric Analysis
    22. 2-D Galerkin FEM for Time-Dependent Problems
    23. 2-D Galerkin FEM for Nonlinear Elastic Problems

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