Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations

We consider a stabilized multiscale nonconforming finite element method for the two-dimensional stationary incompressible Navier-Stokes problem. This method is based on the enrichment of the standard polynomial space for the velocity component with multiscale function and the nonconforming lowest equal-order finite element pair. Stability and existence uniqueness of the numerical solution are established, optimal-order error estimates are also presented. Finally, some numerical results are presented to validate the performance of the proposed method

3′,6′-Bis(diethyl­amino)-2-[(E)-2-(4-hy­droxy-3-meth­oxy­benzyl­idene­amino)­eth­yl]spiro­[isoindoline-1,9′-xanthen]-3-one ethanol monosolvate

In the title compound, C38H42N4O4·C2H6O, prepared via a spiro­lactam ring-formation reaction in a rhodamine dye, the xanthene ring system is approximately planar (r.m.s. deviation = 0.0014Å) and subtends dihedral angles of 88.10 (3) and 86.92 (4)° with the spiro­lactam (r.m.s. deviations = 0.0012 Å) and benzene rings, respectively. The crystal structure consists of chains parallel to [-101], formed via O—H⋯O inter­actions

Analysis of stabilized finite volume method for poisson equation

In this work, we systematically analyze a stabilized finite volume method for the Poisson equation. On stating the convergence of this method, optimal error estimates in different norms are obtained by establishing the adequate connections between the finite element and finite volume methods. Furthermore, some super-convergence results are established by using L 2 -projection method on a coarse mesh based on some regularity assumptions for Poisson equation. Finally, some numerical experiments are presented to confirm the theoretical findings

Exceeding 67.35% Efficient and Color Temperature Tunable White Light from Carbon Dots with Quadruple-Channel Fluorescence–Phosphorescence Emission

Luminescent carbon dots (CDs) have drawn much attention in terms of photoelectronic applications, most of which are focused on single-component white-light emission. However, it still remains a significant challenge to create high-quality white-light-emitting CDs with tunable correlated color temperatures (CCTs). The theoretical calculation is initially used to predict that the enlargement of the conjugated sp2 domain induces redshift fluorescence (FL) and room temperature phosphorescence (RTP) emissions of CDs. Guided by the theoretical predictions, single-component white-light emission from CDs with high efficiency of 67.35% and tunable CCTs from 10,803 to 3376 K is realized. These CDs exhibit quadruple-model emissions with hybrid FL/RTP components at 435 nm (FL-1)/548 nm (RTP-1) and 461–522 nm (FL-2)/525–610 nm (RTP-2), which originate from a synergy between certain P bonds with aggregation-induced emission effects and different sizes of sp2 conjugated structures, respectively. Using such CDs as conversion phosphors, we prepared three white-light-emitting diodes (WLEDs) which can emit bright cool, standard, and warm white lights with color rendering indices of 81–85. Finally, highly luminescent WLEDs are also developed by dispersing these CDs in a poly(vinyl alcohol) matrix, indicating that this provides an industrial application potential

Copy number variations and polymorphisms in HSP90AB1 and risk of systemic lupus erythematosus and efficacy of glucocorticoids

The aim of our study was to assess the associations of HSP90AB1 copy number variations (CNVs) with systemic lupus erythematosus (SLE) risk and glucocorticoids (GCs) efficacy, as well as the relationship between HSP90AB1 single-nucleotide polymorphisms (SNPs) and GCs efficacy. HSP90AB1 CNVs and SLE risk were analysed in 519 patients and 538 controls. Patients treated with GCs were followed up for 12\ua0weeks and were divided into sensitive and insensitive groups to investigate the effects of CNVs (419 patients) and SNPs (457 patients) on the efficacy of GCs. Health-related quality of life (HRQoL) was also measured by SF-36 at baseline and week 12 to explore the relationship between CNVs/SNPs and HRQoL improvements in Chinese SLE patients. Our results indicated a statistically significant association between HSP90AB1 CNVs and SLE (P\ua0=\ua00.039), and this association was more pronounced in the female subgroup (P\ua0=\ua00.039). However, we did not detect association of HSP90AB1 CNVs/SNPs with efficacy of GCs. But we found a marginal association between SNP rs13296 and improvement in Role-emotional, while this association was not strong enough to survive in the multiple testing corrections. Collectively, our findings suggest that the copy number of HSP90AB1 is associated with SLE susceptibility. But copy number and polymorphisms of HSP90AB1 may not be associated with efficacy of GCs