Enrichment and coupling of the finite element and meshless methods

Enrichment and coupling of the finite element and meshless methods
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DOI:
10.1002/1097-0207(20000820)48:11
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发表时间:
2000-08
影响因子:
2.9
通讯作者:
A. Huerta;S. Fernández‐Méndez
A. Huerta;S. Fernández‐Méndez
中科院分区:
工程技术3区
文献类型:
--
作者:
A. Huerta;S. Fernández‐Méndez

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提出了一种基于有限元和无网格方法的混合分层近似。考虑两种情况。第一个耦合使用有限元或无网格方法进行插值的区域:保持连续性和一致性。第二个用粒子丰富了有限元网格。因此,无需在自适应细化过程中重新划分网格。在这两种情况下,都使用相同的公式,研究收敛性并显示示例。版权所有 © 2000 约翰·威利父子有限公司
A mixed hierarchical approximation based on finite elements and meshless methods is presented. Two cases are considered. The first one couples regions where finite elements or meshless methods are used to interpolate: continuity and consistency is preserved. The second one enriches a finite element mesh with particles. Thus, there is no need to remesh in adaptive refinement processes. In both cases the same formulation is used, convergence is studied and examples are shown. Copyright © 2000 John Wiley & Sons, Ltd.