本文建立了二阶椭圆方程节点展开法数学理论，包括变分原理和误差估计等。
In this paper, the mathematical theory of the nodal expansion method for 2nd order elliptical equation including variational principle and error estimate is established.
得到了一类二阶散度型椭圆方程很弱解的一个正则性结果。
A regularity result of a class of second order divergence form elliptic equation was obtained.
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The article deals with the discontinuous boundary value problem for nonlinear elliptic complex equations of second order.
本文对一般的二阶线性椭圆型方程，在满足内部锥条件时，证明了其强极值原理。
In this paper, the strong extremal principles have been proved for second or der linear elliptic equations on the domain which satisfies an interior cone condition.
讨论了二阶非线性椭圆型方程在多连通区域上的间断边值问题。
The method of the composition of some linear equations of second order;
先给出这些问题的提法，然后使用列紧性原理和极值原理证明了上述二阶椭圆型方程边值解的存在性和唯一性。
Fristly the boundary value problems for the equations is formulated, and then by using the compactness principle, the existence of solutions for the above problems is proved.
讨论多连通柱体区域上二阶椭圆-物型方程的一般初非正则斜微商边值问题。
This paper deals with general initial irregular oblique derivative boundary value problem for elliptic parabolic complex equations of second order in a multiply connected cylindric region.
详细推导了在极坐标系下的谱元方法的具体计算公式，求解了极坐标系下的简单椭圆型二阶偏微分方程；
The formulas of the spectral element method in polar coordinate are induced and described in detail. Spectral element method is a high-order weighted residual technique.
详细推导了在极坐标系下的谱元方法的具体计算公式，求解了极坐标系下的简单椭圆型二阶偏微分方程；
The formulas of the spectral element method in polar coordinate are induced and described in detail. Spectral element method is a high-order weighted residual technique.
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