Meshless methods: A review and computer implementation aspects

Vinh Phu Nguyen, Timon Rabczuk, Stéphane Bordas, Marc Duflot

    Research output: Contribution to journalReview article

    732 Citations (Scopus)

    Abstract

    The aim of this manuscript is to give a practical overview of meshless methods (for solid mechanics) based on global weak forms through a simple and well-structured MATLAB code, to illustrate our discourse. The source code is available for download on our website and should help students and researchers get started with some of the basic meshless methods; it includes intrinsic and extrinsic enrichment, point collocation methods, several boundary condition enforcement schemes and corresponding test cases. Several one and two-dimensional examples in elastostatics are given including weak and strong discontinuities and testing different ways of enforcing essential boundary conditions.

    Original languageEnglish
    Pages (from-to)763-813
    Number of pages51
    JournalMathematics and Computers in Simulation
    Volume79
    Issue number3
    DOIs
    Publication statusPublished - 1 Dec 2008

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    Meshless Method
    Boundary conditions
    Strong Discontinuity
    Solid Mechanics
    Elastostatics
    Collocation Method
    MATLAB
    Websites
    Elasticity
    Mechanics
    Students
    Testing
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    Cite this

    Nguyen, Vinh Phu ; Rabczuk, Timon ; Bordas, Stéphane ; Duflot, Marc. / Meshless methods : A review and computer implementation aspects. In: Mathematics and Computers in Simulation. 2008 ; Vol. 79, No. 3. pp. 763-813.
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    Meshless methods : A review and computer implementation aspects. / Nguyen, Vinh Phu; Rabczuk, Timon; Bordas, Stéphane; Duflot, Marc.

    In: Mathematics and Computers in Simulation, Vol. 79, No. 3, 01.12.2008, p. 763-813.

    Research output: Contribution to journalReview article

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