椭圆型及抛物型界面问题的最低阶非协调有限元逼近
he lowest order nonconforming finite element approximation to elliptic and parabolic interface problems
本文首先针对椭圆型界面问题提出了一个最低阶非协调线性三角形有限元逼近方法,在对精确解做一些通常性假设之下,得到了最优误差估计结果。另外,我们还将该方法应用于抛物型界面问题,对其全离散格式同样导出了最优误差估计。本文的思路和方法拓宽了非协调有限元的应用范围。最后,给出的一些数值算例验证了理论分析的正确性。
his articleinvestigates the approximation to an elliptic interface problem withthe lowest order nonconforming linear triangular finite element(FE). Under some usual regularity assumptions on the exact solution,the optimal error estimates are obtained. In addition, this methodis applied to parabolic interface problems for a fully-discrete FEscheme, the optimal order estimates are also derived. The ideaprovided in this paper extends the application scope ofnonconforming FEs. Lastly, some numerical results are given toverify the theoretical analysis.
关晓飞、关宏波、石东洋
数学
界面问题低阶非协调有限元最优阶误差估计
interface problemlow ordernonconformingfinite elementoptimal order error estimates
关晓飞,关宏波,石东洋.椭圆型及抛物型界面问题的最低阶非协调有限元逼近[EB/OL].(2013-03-11)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201303-392.点此复制
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