Article
Physics, Multidisciplinary
Guoliang He, Yong Zhang
Summary: This paper proves the optimal estimations of a low-order spatial-temporal fully discrete method for the non-stationary Navier-Stokes Problem. The semi-implicit scheme based on Euler method is adopted for time discretization, while the special finite volume scheme is adopted for space discretization. The theoretical analysis results show that under certain conditions, the full discretization proposed here has the characteristics of local stability, and the optimal theoretical and numerical error estimation of velocity and pressure can be obtained.
Article
Mathematics, Applied
Cong Xie, Gang Wang, Xinlong Feng
Summary: A new stabilized virtual element method for the convection-dominated diffusion problem is proposed in this paper, which combines the robustness of variational multiscale method and the flexibility of virtual element method. The method is easy to implement, does not require user-defined parameters, and allows for easy a priori error estimation. Numerical experiments demonstrate good agreement with theoretical convergence rates and validate the stabilization effect.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Engineering, Multidisciplinary
Juan F. Giraldo, Victor M. Calo
Summary: This paper interprets the stabilized finite element method as a variational multiscale method, approximating the solution to partial differential equations using discrete spaces. It utilizes adaptive methods and residual minimization to compute coarse-scale and fine-scale approximations, resulting in stable solutions and robust error estimates. The framework is tested in challenging scenarios and demonstrates optimal convergence rates and stability in the solution.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
Xin Su, Sai-Mang Pun
Summary: This paper introduces a multiscale method for solving the Signorini problem with a heterogeneous field. By constructing multiscale basis functions and utilizing the GMsFEM framework, the method effectively handles the unilateral condition of the problem, with theoretical analysis and numerical results provided.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Xiaohua Zhang, Xinmeng Xu
Summary: This paper proposes a new approach called the moving mesh variational multiscale finite element method (MM-VMFEM) for solving convection-diffusion-reaction equations with dominant convection effects. The MM-VMFEM combines the benefits of both moving mesh and variational multiscale methods, allowing for the decoupling of mesh equations from the underlying PDEs and maintaining mesh topology during different differential equation solutions. The effectiveness of the MM-VMFEM is verified through numerical examples, showing improved computational accuracy and reduced numerical spurious oscillations for convection-dominated problems.
ENGINEERING WITH COMPUTERS
(2023)
Article
Mathematics, Applied
Bo Zheng, Yueqiang Shang
Summary: A parallel stabilized finite element variational multiscale method for the incompressible Navier-Stokes equations is proposed, utilizing a fully overlapping domain decomposition approach. The method computes a stabilized solution in a given subdomain using a locally refined global mesh, without the need for substantial recoding of the existing Navier-Stokes sequential solver. Error bounds for the approximate solutions are estimated using local a priori error estimates for the stabilized solution.
APPLIED NUMERICAL MATHEMATICS
(2021)
Article
Mathematics, Applied
Volker John, Baptiste Moreau, Julia Novo
Summary: This paper analyzes a reduced order model (ROM) method based on proper orthogonal decomposition (POD) for convection-diffusion-reaction equations. The streamline-upwind Petrov-Galerkin (SUPG) stabilization is used in both the full order method (FOM) and the ROM simulations, proving the feasibility and performance of the method.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2022)
Article
Physics, Multidisciplinary
Qiming Wang, Zhaojie Zhou
Summary: This paper investigates the streamline upwind/Petrov Galerkin (SUPG) stabilized virtual element method for optimal control problem governed by a convection dominated diffusion equation. The virtual element discrete scheme is constructed using a first-optimize-then-discretize strategy, and error estimates are derived for the state, adjoint state, and control. Numerical experiments are conducted to demonstrate the theoretical findings.
Article
Mechanics
Wan Wan, Pinlei Chen
Summary: The study introduces a computational framework for thermomechanical contact and debonding problems with proper thermal resistance at the interface. By utilizing the Variational Multiscale framework, a fully coupled thermomechanical formulation is presented, considering both tension and compression scenarios. The proposed method successfully accommodates contact/debonding and contact/frictional sliding at the interface under thermal and mechanical loading without losing numerical stability.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2021)
Article
Computer Science, Interdisciplinary Applications
Xiaohua Zhang, Ping Zhang, Wenjie Qin, Xiaotao Shi
Summary: An adaptive VMEFG method is proposed in this paper to solve convection-diffusion equations with convection-dominated problems. The adaptive algorithm effectively refines high gradient regions and improves computational accuracy, showing simplicity and efficiency in optimizing singular regions for convection-dominated problems.
ENGINEERING WITH COMPUTERS
(2022)
Article
Mathematics, Applied
B. V. Rathish Kumar, Manisha Chowdhury
Summary: In this paper, a fully coupled system of transient Navier-Stokes fluid flow model and unsteady variable coefficient advection-diffusion-reaction transport model is studied using subgrid multiscale stabilized finite element method. The stabilized variational formulation of the coupled system and standard expressions for the stabilization parameters are proposed by considering the algebraic approach of approximating the subscales. The time dependence of the unknown subgrid scales is considered. The stability analysis and error estimates for the stabilized finite element scheme are conducted to validate the performance and credibility of the proposed method through various numerical experiments.
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
(2023)
Article
Engineering, Multidisciplinary
B. V. Rathish Kumar, Manisha Chowdhury
Summary: This study presents a new subgrid multiscale stabilized formulation for non-Newtonian Casson fluid flow model tightly coupled with variable diffusion coefficients Advection-Diffusion-Reaction equation (V ADR). The stabilized formulation simplifies the equations by eliminating unresolvable scales and involving only the coarse scale solution. It investigates the relationship between the Casson viscosity coefficient and solute mass concentration, and the stability and convergence properties of the finite element solution.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Xiaoting Cao, Xiaohua Zhang, Xiaotao Shi
Summary: In this paper, an adaptive variational multiscale element free Galerkin method is proposed to solve convection-diffusion-reaction problems with strong convection domination. By using residual-based a posteriori error estimators to locate and mark high-gradient regions, this method can effectively overcome nonphysical oscillations and improve solution efficiency.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Computer Science, Interdisciplinary Applications
Muhammad Arshad, Rukhsana Jabeen, Suliman Khan
Summary: This paper studies the multiscale mortar expanded mixed method for second order parabolic partial differential equations. The method decomposes a large problem into smaller pieces through non-overlapping domain decomposition and constructs a finite element space on the interfaces between subdomains to ensure flux continuity. The introduction of a pressure variable on the interfaces plays the role of Dirichlet boundary condition for each subdomain internal boundary. The paper demonstrates the unique solvability of the discrete problem and provides a priori error estimates for local subdomain approximations.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Article
Mathematics, Applied
Ya Min, Minfu Feng
Summary: This paper presents a stabilized mixed finite element method for a quasistatic Maxwell viscoelastic model. The spatial discretization approximates stress and velocity using arbitrary degree piecewise polynomials. The temporal discretization employs a backward Euler difference scheme. The stability of the semi-discrete and fully discrete solutions is analyzed, and the corresponding error estimates are derived. Numerical examples are provided to validate the theoretical analysis.
APPLIED NUMERICAL MATHEMATICS
(2023)
Article
Chemistry, Applied
Rahab W. Kamau, Veronica M. Masila, Jacob O. Midiwo, Quintino A. Mgani, Mallika Kumarihamy, Mei Wang, Jianping Zhao, Ilias Muhammad
Summary: A new flavanone-flavonol dimer and 10 known compounds were isolated from the roots of Gnidia apiculata. Four of the known compounds were reported for the first time from the Thymelaeceae plant family. The structures of the isolated compounds were determined using spectroscopic analysis and comparison with literature data. The isolated compounds showed antimicrobial and antiplasmodial activities.
NATURAL PRODUCT RESEARCH
(2023)
Article
Plant Sciences
Balkisu Abdulrahman, Fadime Aydogan, Fazila Zulfiqar, Jianping Zhao, Zulfiqar Ali, Ikhlas A. Khan, Bala Muntari, Bello Oluwasesan
Summary: A targeted investigation of the ethanolic extract of black turtle bean seeds led to the isolation and characterization of five compounds, including a previously undescribed cyclohexane carboxylic acid derivative.
RECORDS OF NATURAL PRODUCTS
(2023)
Article
Mechanics
Jinling Zhao, Hongli Ji, Jinhao Qiu, Jianping Zhao, Xiaojuan Xu
Summary: This article evaluates the elastic properties of composites by inverting guided wave velocities and analyzes the sensitivity of ultrasonic waves to stiffness. By developing novel sensitivity kernels, the authors achieve accurate and efficient sensitivity analysis, and further validate the method by identifying elastic properties.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Mathematics, Applied
Longzhao Qi, Yanren Hou
Summary: In this work, we design first-order and second-order time-stepping schemes for the modified phase field crystal model based on the scalar auxiliary variable method. The model is a nonlinear sixth-order damped wave equation that includes both elastic interactions and diffusive dynamics. Our schemes are linear and ensure unconditional energy stability with respect to pseudo energy. We also rigorously estimate the errors of the numerical schemes and present numerical tests to validate our theoretical results.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Chemistry, Multidisciplinary
Yiwen Yuan, Jianping Zhao, Jianfeng Li
Summary: Several five-coordinate high-spin p-toluenethiolate Manganese(II) complexes were successfully synthesized using different ligands, and were characterized in detail by various spectroscopic techniques. The crystal structures exhibited flexible ligands and interactions between the ligands and porphyrin planes. The high-spin states of these complexes were confirmed by EPR, and temperature-dependent EPR and measurement comparisons with different ligand equivalents were conducted.
JOURNAL OF PORPHYRINS AND PHTHALOCYANINES
(2023)
Article
Medical Laboratory Technology
Yanjiao Lu, Kum Tang, Shanshan Wang, Zhen Tian, Yan Fan, Boyu Li, Meijia Wang, Jianping Zhao, Jungang Xie
Summary: This study demonstrates that low expression of Dachshund homolog 1 (Dach1) in type II alveolar epithelial cells (AECII) contributes to the progression of pulmonary fibrosis (PF). Dach1 deficiency exacerbates PF in mice, while overexpression of Dach1 alleviates lung damage and fibrosis. Mechanistically, Dach1 represses epithelial apoptosis by binding to the promoter of B-cell lymphoma 2 interacting mediators of cell death (Bim), thus preventing PF development.
TRANSLATIONAL RESEARCH
(2023)
Article
Materials Science, Multidisciplinary
Hua-Dong Dong, Jian-Ping Zhao, Ming-Xing Peng, Yong -Hui Zhang, Pei -Yuan Xu
Summary: In this study, fusiform ZnO sensitive material was synthesized and its H2 sensing performance was enhanced by loading Au nanoparticles. The material showed good selectivity and long-term stability for H2.
Article
Chemistry, Physical
Haiyan Duan, Xu Chen, Yi-Nan Yang, Jianping Zhao, Xiao-Chun Lin, Wen-Jing Tang, Qiang Gao, Guo-Hong Ning, Dan Li
Summary: Despite many efforts in tuning catalytic performance of metal-organic frameworks (MOFs) through modification of MOF nodes, steric tuning of MOF nodes via ligand modification remains challenging. In this study, two two-dimensional Cu(I) cyclic trinuclear unit (Cu-CTU)-based MOFs with similar structures, named JNM-1 and JNM-5, were successfully synthesized. JNM-5 exhibited higher crystallinity, porosity and chemical stability, but lower catalytic activity for hydroboration reactions compared to JNM-1. However, JNM-5 showed higher substrate selectivity and chemo-selectivity for hydroboration of olefins.
JOURNAL OF MATERIALS CHEMISTRY A
(2023)
Article
Plant Sciences
Lihui Jiang, Baolin Yao, Xiaoyan Zhang, Lixia Wu, Qijing Fu, Yiting Zhao, Yuxin Cao, Ruomeng Zhu, Xinqi Lu, Wuying Huang, Jianping Zhao, Kuixiu Li, Shuanglu Zhao, Li Han, Xuan Zhou, Chongyu Luo, Haiyan Zhu, Jing Yang, Huichuan Huang, Zhengge Zhu, Xiahong He, Jiri Friml, Zhongkai Zhang, Changning Liu, Yunlong Du
Summary: Salicylic acid inhibits rice root growth by interfering with auxin transport through OsPIN3t-mediated mutation and clathrin-mediated endocytosis, which is different from TyrA23-mediated root growth.
Article
Endocrinology & Metabolism
Jianping Zhao, Jonathan Epstein
Summary: EPE is rarely seen in GG1-3 prostatic adenocarcinoma, and there is no evidence suggesting it as a contraindication for radical prostatectomy. Despite the presence of EPE on biopsy, most patients do not have highly unfavorable pathology at the time of surgery.
Article
Construction & Building Technology
Shuxiao Wang, Jianping Zhao, Lixiong Wang, Wenye Hu, Fanfang Yan
Summary: This paper presents a new experimental protocol using a large hemisphere LED screen to study the impact of lighting conditions on circadian behaviors in architectural spaces. Results show that both intrinsic and extrinsic signals regulate pupil size under continuous lighting conditions.
Article
Chemistry, Physical
Tsung-Hsuan Yang, Erik S. Cheng, Samuel M. Johnson, Toshihiko Iwao, Jianping Zhao, John G. Ekerdt, Peter L. G. Ventzek, Gyeong S. Hwang
Summary: Plasma-enhanced atomic layer deposition (PEALD) is a promising technique for controlled growth of silicon nitride (SiNx) thin films. The presence of amines, especially primary amines, plays a key role in dichlorosilane (DCS) decomposition, generating H and Cl atoms as by-products. The by-products can strongly bind to the surface, affecting the SiNx ALD process and decreasing the growth rate.
APPLIED SURFACE SCIENCE
(2023)
Article
Chemistry, Medicinal
Vijayasankar Raman, Yan-Hong Wang, Seethapathy G. G. Saroja, Jianping Zhao, Jane Manfron, Bharathi Avula, Amar G. G. Chittiboyina, Ikhlas A. A. Khan
Summary: This study provides an orthogonal approach to differentiate the dream herb from non-bitter calea using three independent methodologies. Detailed morpho-anatomical and histochemical characterizations of the two species were established, along with the identification of chemical compounds present. The study results would aid in authentication of botanical raw materials and quality control of Calea ternifolia-based products.
REVISTA BRASILEIRA DE FARMACOGNOSIA-BRAZILIAN JOURNAL OF PHARMACOGNOSY
(2023)
Article
Gastroenterology & Hepatology
Yuan-Xiang Lu, Jian-Ping Zhao, Guan-Dou Yuan, Ming-Gen Hu, Chuan-Dong Sun, Kun-Lun Chen, Yao Chen, Yong-Yi Zeng, Zhi-Ying Yang, Wan-Guang Zhang
Summary: This study aimed to investigate the prevalence, patterns, risk factors, and outcomes of peritoneal metastases (PM) in hepatocellular carcinoma (HCC) patients after curative laparoscopic hepatectomy (LH). The results showed that LH was not associated with increased incidence of PM in HCC patients for experienced surgeons, and surgical re-excision of PM was associated with prolonged survival.
HEPATOBILIARY SURGERY AND NUTRITION
(2023)
Letter
Medicine, General & Internal
Zhenan Deng, Meiling Jin, Changxing Ou, Wei Jiang, Jianping Zhao, Xiaoxia Liu, Shenghua Sun, Huaping Tang, Bei He, Shaoxi Cai, Ping Chen, Penghui Wu, Yujing Liu, Jian Kang, Yunhui Zhang, Mao Huang, Jinfu Xu, Kewu Huang, Qiang Li, Xiangyan Zhang, Xiuhua Fu, Changzheng Wang, Huahao Shen, Lei Zhu, Guochao Shi, Zhongmin Qiu, Zhongguang Wen, Xiaoyang Wei, Wei Gu, Chunhua Wei, Guangfa Wang, Lixin Xie, Jiangtao Lin, Yuling Tang, Zhihai Han, Kian Fan Chung, Qingling Zhang, Nanshan Zhong
CHINESE MEDICAL JOURNAL
(2023)
Article
Mathematics, Applied
Junfeng Cao, Ke Chen, Huan Han
Summary: This paper proposes a two-stage image segmentation model based on structure tensor and fractional-order regularization. In the first stage, fractional-order regularization is used to approximate the Hausdorff measure of the MS model. The solution is found using the ADI scheme. In the second stage, thresholding is used for target segmentation. The proposed model demonstrates superior performance compared to state-of-the-art methods.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Dylan J. Oliver, Ian W. Turner, Elliot J. Carr
Summary: This paper discusses a projection-based framework for numerical computation of advection-diffusion-reaction (ADR) equations in heterogeneous media with multiple layers or complex geometric structures. By obtaining approximate solutions on a coarse grid and reconstructing solutions on a fine grid, the computational cost is significantly reduced while accurately approximating complex solutions.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Nathan V. Roberts, Sean T. Miller, Stephen D. Bond, Eric C. Cyr
Summary: In this study, the time-marching discontinuous Petrov-Galerkin (DPG) method is applied to the Vlasov equation for the first time, using backward Euler for a Vlasov-Poisson discretization. Adaptive mesh refinement is demonstrated on two problems: the two-stream instability problem and a cold diode problem.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Yizhi Sun, Zhilin Sun
Summary: This work investigates the convexity of a specific class of positive definite probability measures and demonstrates the preservation of convexity under multiplication and intertwining product. The study reveals that any integrable function on an interval with a polynomial expansion of fast absolute convergence can be decomposed into a pair of positive convex interval probabilities, simplifying the study of interval distributions and discontinuous probabilistic Galerkin schemes.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Bhagwan Singh, Komal Jangid, Santwana Mukhopadhyay
Summary: This paper examines the prediction of bending characteristics of nanoscale materials using the Moore-Gibson-Thompson thermoelasticity theory in conjunction with the nonlocal strain gradient theory. The study finds that the stiffness of the materials can be affected by nonlocal and length-scale parameters, and the aspect ratios of the beam structure play a significant role in bending simulations.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Guoliang Wang, Bo Zheng, Yueqiang Shang
Summary: This paper presents and analyzes a parallel finite element post-processing algorithm for the simulation of Stokes equations with a nonlinear damping term, which integrates the algorithmic advantages of the two-level approach, the partition of unity method, and the post-processing technique. The algorithm generates a global continuous approximate solution using the partition of unity method and improves the smoothness of the solution by adding an extra coarse grid correction step. It has good parallel performance and is validated through theoretical error estimates and numerical test examples.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Hao Xu, Zeng-Qi Wang
Summary: Fluid flow control problems are crucial in industrial applications, and solving the optimal control of Navier-Stokes equations is challenging. By using Oseen's approximation and matrix splitting preconditioners, we can efficiently solve the linear systems and improve convergence.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Zhengya Yang, Xuejuan Chen, Yanping Chen, Jing Wang
Summary: This paper focuses on the high-order stable numerical solutions of the time-space fractional diffusion equation. The Fourier spectral method is used for spatial discretization and the Spectral Deferred Correction (SDC) method is used for numerical solutions in time. As a result, a high-precision numerical discretization scheme for solving the fractional diffusion equation is obtained, and the convergence and stability of the scheme are proved. Several numerical examples are presented to demonstrate the effectiveness and feasibility of the proposed numerical scheme.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2024)
