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新疆大学数学与系统科学学院
Published:2018
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[1]张秋雨,黄鹏展.Darcy-Brinkman方程的残量型后验误差估计[J],2018,35(02):165-171.
[1]张秋雨,黄鹏展.Darcy-Brinkman方程的残量型后验误差估计[J],2018,35(02):165-171. DOI: 10.13568/j.cnki.651094.2018.02.007.
DOI:10.13568/j.cnki.651094.2018.02.007.
有限元后验误差估计为有限元后处理技术提供了有效的理论分析.在有限元后处理方法中
基于残量型的后验误差方法在计算科学和数值模拟中占据着重要的地位
它对于局部奇异问题有着很好的逼近效果
整体上降低了数值模拟计算时的矩阵规模
使得计算资源能更合理的分配.本文设计了Darcy-Brinkman方程的残量型后验误差估计子
并给出了估计子的下界
通过数值算例验证该方法的有效性.
In postprocessing of the finite element method
a residual-based posteriori error is a popular method in computational science and numerical simulation
and the theory analysis supports this method.For some local singular problems
the posteriori error process decreases scale of matrix overall and makes resources of computing more affordable. In this paper
we give a residual-based posteriori error estimator of the Darcy-Brinkman equations and give a lower bound of the estimator. Finally
the validity of this method is verified by some numerical examples.
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