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数值积分对各向异性非协调有限元的影响及误差估计
The influence of numerical integration on the anisotropicnonconforming finite element and error estimates
【摘要】 研究在各向异性条件下的二阶椭圆问题,针对非协调有限元方法,改变在计算荷载向量时用到的数值积分方案,亦即改变离散格式,在较弱条件f∈H1(Ω)∩C0(Ω)下,仍能得到与传统有限元分析相同的收敛阶O(h)。
【Abstract】 In this paper, we deal with the second order elliptic problem and focus on the anisotropic nonconforming finite element. By means of modifying the numerical integration method used in the computation of load vectors,i.e. changing the discrete form,the same convergent order O(h) as that of the conventional finite element is obtained with the weaker condition f∈H~1(Ω)∩C~0(Ω).
【关键词】 数值积分;
各向异性;
非协调有限元;
误差估计;
【Key words】 Numerical integration; anisotropic; nonconforming finite element; error estimates;
【Key words】 Numerical integration; anisotropic; nonconforming finite element; error estimates;
【基金】 国家自然科学基金(10171092,10371113);国家人事部留学回国基金(2000-119);河南省高等院校创新人才工程基金(2002-129)
- 【文献出处】 河南科学 ,Henan Science , 编辑部邮箱 ,2004年01期
- 【分类号】O241.82
- 【下载频次】49