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Structural Engineering and Mechanics
  Volume 25, Number 1, January10 2007, pages 91-106

(4+n)-noded Moving Least Square(MLS)-based finite elements for mesh gradation
Jae Hyuk Lim and Seyoung Im

    A new class of finite elements is described for dealing with mesh gradation. The approach employs the moving least square (MLS) scheme to devise a class of elements with an arbitrary number of nodal points on the parental domain. This approach generally leads to elements with rational shape functions, which significantly extends the function space of the conventional finite element method. With a special choice of the nodal points and the base functions, the method results in useful elements with polynomial shape functions for which the C1 continuity breaks down across the boundaries between the subdomains comprising one element. Among those, (4 + n)-noded MLS based finite elements possess the generality to be connected with an arbitrary number of linear elements at a side of a given element. It enables us to connect one finite element with a few finite elements without complex remeshing. The effectiveness of the new elements is demonstrated via appropriate numerical examples.
Key Words
    MLS-based finite elements; moving least square approximation; mesh gradation; stress concentration.
Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST), Science Town, Daejeon 305-701, Republic of Korea

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