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The shape function of the meshless local radial point interpolation method has the Kronecker delta function properties, and no additional treatment to impose essential boundary conditions.

无网格局部径向点插值方法的形状函数具有Kronecker delta函数的特性,便于施加位移边界条件,不需要进行特殊地处理。

Meshless method is a new numerical method on problem for determining solution of partial differential equation. It is an approximation method based on nodes, and doesn't need a mesh entirely or partly. Then the discontinuous problems, the extremely large deformations problems, and movable boundary problems, etc, can be solved by use to meshless without the re-meshing techniques. And not only the calculated precision can be guaranteed, but also the calculated difficulty can be decreased.

无网格方法是求解微分方程定解问题的一种新的数值方法,它采用基于点的近似,可以彻底或部分地消除网格,因此在处理不连续、大变形、移动边界等问题时可以完全抛开网格重构,不仅可以保证计算的精度,而且可以减少计算难度。

The experimental differential cross section data analysis with thetheory calculation code DWUCK4 using the distorted-wave Bornapproximation and zero-range interaction.

采用逐个事件的方法,用一事先产生的一系列点组成的数据库模拟探测器边界,事件的几何探测效率进行归一化,得到实际的实验室系散射角分布。

In this paper, the Bistatic scattering coefficient from one - dimension Gaussian perfect conductor random rough surface is computed by the Moment method in Dirichlet boundary condition, and the basis function is taken as the pulse function and weighting function in the point matching method.

采用矩量法计算狄利克莱边界条件下一维高斯型随机粗糙面的收发分置的散射系数,运用脉冲基函数和点匹配的矩量法,在入射波为锥形波的条件下,分析了两种频谱函数下的仿真结果。

The boundary conditions are assumed to be either the Dirichlet condition or linear Robin conditions.

在第一章,我们应用上、下解方法,bootstrap技巧和Schauder不动点定理考察如下三类周期反应扩散方程组的周期稳态解的存在性和一般的时变解的渐近性态:(1)拟单增系统;(2)混拟单调系统;(3)一个非拟单调2-系统,其边界条件是Dirichlet条件或线性Robin条件。

In Chapter 1, we use the upper and lower solutions method, the bootstrap technique and the Schauder fixed point theorem to investigate the existence of periodic solutions and the asymptotic behavior of general time-dependent solutions for periodic reaction-diffusion systems of the following three types:(1) Quasimonotone nondecreasing system;(2) Mixed quasimonotone system;(3) A nonquasimonotone 2-system. The boundary conditions are assumed to be either the Dirichlet condition or linear Robin conditions.

在第一章,我们应用上、下解方法,bootstrap技巧和Schauder不动点定理考察如下三类周期反应扩散方程组的周期稳态解的存在性和一般的时变解的渐近性态:(1)拟单增系统;(2)混拟单调系统;(3)一个非拟单调2-系统,其边界条件是Dirichlet条件或线性Robin条件。

Thereby we obtain the existence and uniqueness for the Dirichlet problem of the Helmholtz equation on domain with corners

从而得到边界含尖点区域上Helmholtz方程Dirichlet问题解的存在及唯一性。

Virtual boundary element; equivalent collation method; double layer potential; linear diffusion equation

基础科学,数学,数学分析虚边界元;等额配点法;双层位势;扩散方程

Through the segmentation of the spatial box bounded by point cloud, efficient extraction of boundary information is implemented.

通过对点云数据进行空间三维划分,实现了边界信息的高效提取。

With the method of upper and lower solutions,its associated monotone iterations and the fixed point theorem,the coexistence solutions to a strongly coupled elliptic system are studied.

采用上下解及相应的单调迭代序列的方法,结合Schauder不动点定理,研究带Dirichlet边界条件的两种群的互惠模型强耦合问题共存解。

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