Adaptive nodal generation with the element-free Galerkin method
Adaptive nodal generation with the element-free Galerkin method
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DOI：
10.12989/sem.2000.10.6.635
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发表时间：
2000-12
影响因子：
2.2
通讯作者：
Heung-Jin Chung;Gye-Hee Lee;Chang-Koon Choi
中科院分区：
文献类型：
--
作者：
Heung-Jin Chung;Gye-Hee Lee;Chang-Koon Choi
本文提出了一种基于局部和全局误差估计的无网格伽辽金法（EFG）自适应节点生成方法。为了研究EFG方法的h-型自适应性的可能性，采用了一种简单的节点加密格式。通过沿着背景单元加入新的节点，可以自适应地控制局部和全局误差。这些误差是通过计算投影应力值和EFG原始应力值之间的差值来估计的。本研究的最终目标是在后验估计局部和全局误差的基础上，开发出可靠的节点发生器。为了评估所提出的自适应过程的性能，收敛行为进行了研究，几个例子。
In this paper, the adaptive nodal generation procedure based on the estimated local and global error in the element-free Galerkin (EFG) method is proposed. To investigate the possibility of h-type adaptivity of EFG method, a simple nodal refinement scheme is used. By adding new node along the background cell that is used in numerical integration, both of the local and global errors can be controlled adaptively. These errors are estimated by calculating the difference between the values of the projected stresses and original EFG stresses. The ultimate goal of this study is to develop the reliable nodal generator based on the local and global errors that is estimated posteriori. To evaluate the performance of proposed adaptive procedure, the convergence behavior is investigated for several examples.