地区能源结构低碳化差异的收敛机制及影响因素——基于加权多维向量夹角指数

基于改进的加权多维向量夹角方法,构建能源结构低碳化指数,测度中国30个省市1996—2017年的能源结构低碳化水平,并检验地区差异的收敛机制和影响因素。结果表明,中国能源结构低碳化水平总体呈现波动上升趋势,区域间和区域内部均表现出非平衡演进特征;能源结构低碳化水平随经济发展水平差异的缩小而收敛,随产业结构差异的收敛性不显著;在经济发展水平较高、产业结构升级较快以及能源输入型等三类地区,能源结构低碳化水平随经济发展水平和产业结构高级化的收敛性相对显著;能源结构低碳化一定程度上内生于经济系统和产业结构的演化。经济发展水平和产业结构相关影响因素均显著性良好,需要注意的是FDI、市场化等因素在相对落后地区的作用未得到有效发挥。主要研究启示有:能源结构低碳化转型应注重与经济发展及产业结构升级进程的协同;落后地区应重视技术创新、经济开放、市场化等短板的改善,着力破解模式锁定和路径依赖。

An Anisotropic Posteriori Error Estimator of Bilinear Element

The main aim of this paper is to give an anisotropic posteriori error estimator. We firstly study the convergence of bilineax finite element for the second order problem under anisotropic meshes. By using some novel approaches and techniques, the optimal error estimates and some superconvergence results axe obtained without the regulaxity assumption and quasi-uniform assumption requirements on the meshes. Then, based on these results, we give an anisotropic posteriori error estimate for the second problem.

Convergence Analysis of Nonconforming Carey Element on Anisotropic Meshes in 3-D

In this paper, the convergence analysis of the famous Carey element in 3-D is studied on anisotropic meshes. The optimal error estimate is obtained based on some novel techniques and approach, which extends its applications.