Abstract Machine learning-based learning effectiveness analysis is an important part of the current college students’ and it directly related to effect. It plays a very role in learning, enhances effect students greatest extent. The study aimed investigate English under small private online course (SPOC) teaching mode based on machine learning. designed implemented blended SPOC. Next, investigated SPOC by empirical analyzed results showed that were satisfied with academic skills, research...

Flow-induced translocation of linear and ring polymers is studied by using a combination multiparticle collision dynamics molecular dynamics. The results show that both end capture fold are present in the process chains weak flows, whereas becomes dominant strong resulting similar behavior for flow regime. For narrow channels, critical flux decreases with increase channel size, which qualitatively consistent prediction Wu et al.; large sizes (which still smaller than polymer size),...

In this article, a new weak Galerkin mixed finite element method is introduced and analyzed for the Helmholtz equation with large wave numbers. The stability well‐posedness of are established any number k without mesh size constraint. Allowing use discontinuous approximating functions makes highly flexible in term little restrictions on approximations meshes. formulation, approximation can be piecewise polynomials different degrees elements meshes consist shapes. Suboptimal order error...

Abstract The era of the knowledge economy is defined by pivotal role and information in economic production, dissemination, utilization. Information technology stands as a cornerstone propelling advancement economy. transformative impact has been driving force ushering era. Amid this backdrop, blended teaching mode emerges novel pedagogical approach infused with technology, demanding an evaluation its merits it gains traction educational practice adoption. implementation modes within...

In this paper, we analyze convergence and supercloseness properties of a class weak Galerkin (WG) finite element methods for solving second-order elliptic problems. It is shown that the WG solution superclose to Lagrange type interpolation using Lobatto points. This behavior obtained through some newly designed stabilization terms. A post-processing technique polynomial preserving recovery (PPR) introduced approximation. Superconvergence analysis carried out PPR Numerical examples are...

Artificial intelligence technology is an important transformative force for teaching innovation in the intelligent era. It being widely used American school teaching, including design of tutoring systems to achieve precise problem solving, machine learning ensure personalized activity design, creation virtual reality promote classroom contextualization, and development evaluation scientific capabilities. In process advancing application artificial technology, United States has built a...

<p style='text-indent:20px;'>This article presents a conforming discontinuous Galerkin (conforming DG) scheme for second order elliptic equations on rectangular partitions. The new method is based DG finite element space and uses weak gradient arising from local Raviart Thomas approximations. By using the enforcing inter-element continuity strongly, maintains simple formulation of while have flexibility Hence, programming complexity this significantly reduced compared to other existing...

A stabilizer-free weak Galerkin finite element method is proposed for the Stokes equations in this paper.Here we omit stabilizer term new by increasing degree of polynomial approximating spaces gradient operators.The algorithm simple formulation and computational complexity also reduced.The corresponding consist piecewise polynomials k≥1 velocity k-1 pressure, respectively.Optimal order error estimates have been derived both H 1 L 2 norms pressure norm.Numerical examples are presented to...

This paper presents an arbitrary order locking-free numerical scheme for linear elasticity on general polygonal/polyhedral partitions by using weak Galerkin (WG) finite element methods. Like other WG methods, the key idea is to introduce discrete strain and stress tensors which are defined computed solving inexpensive local problems each element. Such derived from formulations of corresponding differential operators through integration parts. Locking-free error estimates optimal in a...