THE ADAPTIVE IMMERSED INTERFACE FINITE ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS
THE ADAPTIVE IMMERSED INTERFACE FINITE ELEMENT METHOD FOR ELASTICITY INTERFACE PROBLEMS
复制标题
弹性界面问题的自适应浸入界面有限元法
DOI：
10.4208/jcm.1203-m3869
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发表时间：
2012-11-01
影响因子：
0.9
通讯作者：
Chang, Yanzhen
中科院分区：
文献类型：
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作者：
Chang, Yanzhen
本文提出了带有误差控制的自适应有限元方法来求解具有不连续系数的弹性问题。方法中的网格不需要适合接口。我们建立了一个基于残差的后验误差估计，它是与λ无关的乘法常数；Lame常数控制不可压缩性。然后对误差估计器进行了实现和测试，得到了令人满意的数值结果，这将显示自适应算法的竞争行为。
In this paper, we propose adaptive finite element methods with error control for solving elasticity problems with discontinuous coefficients. The meshes in the methods do not need to fit the interfaces. We establish a residual-based a posteriori error estimate which is lambda-independent multiplicative constants; the Lame constant lambda steers the incompressibility. The error estimators are then implemented and tested with promising numerical results which will show the competitive behavior of the adaptive algorithm.