对流扩散方程特征线三角元法的一致估计

利用三角形线性元的积分恒等式,给出了二维非定常对流占优扩散方程的特征线有限元解和真解的一致最优估计,并利用插值后处理算子,得到了有限元解梯度的一致超收敛估计,即只与初值和右端项有关,而与ε无关

Electrochemical and In Situ FTIR Studies of Adsorption and Oxidation of Dimethyl Ether on Platinum Electrode

运用电化学循环伏安法(CV)和原位傅立叶变换红外(FTIR)反射光谱,研究了不同pH值溶液中二甲醚(DME)在Pt电极上的解离吸附和氧化过程.稳态CV结果给出,在0.1mol·L-1H2SO4溶液中,当电位处于0.05-0.35V(vsRHE)区间,约70%的Pt表面位被DME的解离吸附产物占据.DME电氧化反应的活性随pH值增加而下降,在0.1mol·L-1NaOH溶液中,氢的吸脱附几乎不受抑制且观察不到明显的氧化电流,表明DME醚键上氧原子的质子化是其发生解离吸附和氧化的必要条件.原位FTIR光谱研究给出DME解离吸附和氧化过程的分子水平信息,指出DME在低电位区间解离生成线型吸附态CO(COL)毒性中间体.当电位高于0.55V(vsRHE)时,COL开始氧化为CO2;在0.75-1.00V(vsRHE)的电位区间则可同时发生经活性中间体(HCOOH)的氧化过程.Dissociative adsorption and electrooxidation of dimethyl ether (DME) on a platinum electrode in different pH solutions were studied using cyclic voltammetry (CV) and in situ FTIR reflection spectroscopy. The coverage of the dissociative adsorbed species was measured about 70% from hydrogen adsorption-desorption region (0.05-0.35 V(vs RHE)) of steady-state voltammogram recorded in 0.1 mol·L-1 H2SO4 solution. It was found that the electrochemical reactivity of DME was pH dependent, i.e., the larger the pH value was, the less the reactivity of DME would be. No perceptible reactivity of DME in 0.1 mol·L-1 NaOH solution could be detected. It was revealed that the protonation of the oxygen atom in the C-O-C bond played a key role in the electrooxidation of DME. In situ FTIR spectroscopic results illustrated that linearly bonded CO (COL) species determined at low potential region were derived from the dissociative adsorption of DME and behaved as 'poisoning' intermediate. The COL species could be oxidized to CO2 at potential higher than 0.55 V (vs RHE), and in the potential range from 0.75 to 1.00 V (vs RHE) DME was oxidized simultaneously via HCOOH species that were identified as the reactive intermediates.国家自然科学基金(20433060,20673091)资助项

对流扩散方程三角形有限元解的一致估计

利用三角形线性元的积分恒等式,给出了二维非定常对流扩散方程的半离散有限元解和真解的一致最优误差估计,即误差与ε无关,而仅与右端f和初值u_0有关

Comparison of life and psychological status of the elderly between families with children absent and families with children

目的　比较研究城市空巢老人与非空巢老人的生活和心理状况。方法　以《中脉老年生活质量指数调查问卷》为材料,对7个城市2 225位独居、夫妻同住和非空巢老人的调查数据进行分析。结果　大多数老年人的经济收入偏低,非空巢老人给予子女经济支持和体力付出的压力较大;大多数老年人的心情较好,但超过1 /4的独居老人心情较差;老年人的主观幸福感居中上水平,但独居老人的主观幸福感、与家人交流满意度较低;在养老依靠问题上空巢老人(尤其是独居老人)对于家人的期望较低;对于第三方赡养和老年人再婚的问题,夫妻同住老人比较理解和支持。 结论　夫妻同住老人的生活和心理状况均较好,独居老人的心理状况较差,非空巢老人的经济和体力付出的压力较大