Survey of meshless and generalized finite element methods: A unified approach
نویسندگان
چکیده
منابع مشابه
Meshless Methods , Generalized Finite Element Methods , and Related Approaches
Recently the Meshless and Generalized FEM became to be in the center of interest, especially in the engineering community. I have identified more than 200 engineering papers and four books ([1],[2],[3],[4]). I found very few papers of mathematical character (assumptions, theorems, proofs). Hence there is a large experience and heuristics but not too much mathematical understanding of the method...
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It is widely acknowledged that 3-D mesh generation remains one of the most man-hours consuming techniques within computational mechanics. The problem of mesh generation is that the time remains unbounded, even using the most sophisticated mesh-generator. For a given distribution of points, it is possible to obtain a mesh very quickly, but it may require several iterations, including manual inte...
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Article history: Received 8 September 2012 Received in revised form 18 April 2013 Accepted 24 April 2013 Available online 22 May 2013
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The Generalized Finite Element Method (GFEM) presented in this paper combines and extends the best features of the finite element method with the help of meshless formulations based on the Partition of Unity Method. Although an input finite element mesh is used by the proposed method, the requirements on the quality of this mesh are significantly relaxed. The main technique presented in this pa...
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ژورنال
عنوان ژورنال: Acta Numerica
سال: 2003
ISSN: 0962-4929,1474-0508
DOI: 10.1017/s0962492902000090