用于二阶问题的窄边Hermite三角形元

Narrow Hermite Triangular Element for the Second Order Problem

构造了一个可用于窄边三角形区域的新单元 ,它具有各向异性插值特征 ,且附属的线性泛函连续 .利用各向异性单元分析方法得到了二阶问题的误差估计 ,从而避开了正则性条件的限制 .

A new element with the anisotropic interpolation property and continuous linear functionals is constructed. This element can be applied to the narrow triangular field. Using the analytic method of the anisotropic element, error estimate for the second order problem is obtained without the limitation of regularity conditions.