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Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

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Communications in Computational Physics 2012年第5期11卷 1503-1524页

作者： shuangzhang tu Gordon W.Skelton Qing Pang Department of Computer Engineering Jackson State UniversityJacksonMS 39217USA

In this paper,the high-order space-time discontinuous Galerkin cell vertex scheme(DG-CVS)developed by the authors for hyperbolic conservation laws is extended for time dependent diffusion *** the extension,the treatment of the diffusive flux is exactly the same as that for the advective *** to the Riemannsolver-free and reconstruction-free features of DG-CVS,both the advective flux and the diffusive flux are evaluated using continuous information across the cell *** a result,the resulting formulation with diffusive fluxes present is still consistent and does not need any extra ad hoc techniques to cure the common“variational crime”problem when traditional DG methods are applied to diffusion *** this reason,DG-CVS is conceptually simpler than other existing DG-typed *** numerical tests demonstrate that the convergence order based on the L_(2)-norm is optimal,i.e.O(h^(p+1))for the solution and O(h^(p))for the solution gradients,when the basis polynomials are of odd *** even-degree polynomials,the convergence order is sub-optimal for the solution and optimal for the solution *** same odd-even behaviour can also be seen in some other DG-typed methods.

关键词： High-order method space-time method discontinuous Galerkin(DG)method cellvertex scheme(CVS) diffusion equations

A Compact High Order Space-Time Method for Conservation Laws

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Communications in Computational Physics 2011年第2期9卷 441-480页

作者： shuangzhang tu Gordon W.Skelton Qing Pang Department of Computer Engineering Jackson State UniversityJacksonMS 39217USA

This paper presents a novel high-order space-time method for hyperbolic conservation *** important concepts,the staggered space-time mesh of the space-time conservation element/solution element(CE/SE)method and the local discontinuous basis functions of the space-time discontinuous Galerkin(DG)finite element method,are the two key ingredients of the new *** staggered spacetime mesh is constructed using the cell-vertex structure of the underlying spatial *** universal definitions of CEs and SEs are independent of the underlying spatial mesh and thus suitable for arbitrarily unstructured *** solution within each physical time step is updated alternately at the cell level and the vertex *** this solution updating strategy and the DG ingredient,the new scheme here is termed as the discontinuous Galerkin cell-vertex scheme(DG-CVS).The high order of accuracy is achieved by employing high-order Taylor polynomials as the basis functions inside each *** present DG-CVS exhibits many advantageous features such as Riemann-solver-free,high-order accuracy,point-implicitness,compactness,and ease of handling boundary *** numerical tests including the scalar advection equations and compressible Euler equations will demonstrate the performance of the new method.

关键词： High order method space-time method cell-vertex scheme(CVS) conservation laws

Random vibration analysis of FGM plates subjected to moving load using a refined stochastic finite element method

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Defence Technology（防务技术） 2024年第4期34卷 42-56页

作者： Ngoc-tu Do Trung Thanh Tran Faculty of Mechanical Engineering Hanoi University of IndustryHanoiViet Nam Faculty of Mechanical Engineering Le Quy Don Technical UniversityHanoiViet Nam

The article introduces a finite element procedure using the bilinear quadrilateral element or four-node rectangular element(namely Q4 element) based on a refined first-order shear deformation theory(rFSDT) and Monte Carlo simulation(MCS), so-called refined stochastic finite element method to investigate the random vibration of functionally graded material(FGM) plates subjected to the moving *** advantage of the proposed method is to use r-FSDT to improve the accuracy of classical FSDT, satisfy the stress-free condition at the plate boundaries, and combine with MCS to analyze the vibration of the FGM plate when the parameter inputs are random quantities following a normal distribution. The obtained results show that the distribution characteristics of the vibration response of the FGM plate depend on the standard deviation of the input parameters and the velocity of the moving ***, the numerical results in this study are expected to contribute to improving the understanding of FGM plates subjected to moving loads with uncertain input parameters.

关键词： FGM Moving load R-FSDT Q4 element Monte Carlo simulation Random vibration

Single-cell transcriptomics reveals tumor landscape in ovarian carcinosarcoma

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Journal of Zhejiang University-Science B(Biomedicine & Biotechnology) 2024年第8期25卷 686-699页

作者： Junfen XU Mengyan tu Department of Gynecologic Oncology Women’s HospitalZhejiang University School of MedicineHangzhou 310006China Zhejiang Provincial Clinical Research Center for Obstetrics and Gynecology Hangzhou 310006China

Objective:The present study used single-cell RNA sequencing(scRNA-seq)to characterize the cellular composition of ovarian carcinosarcoma(OCS)and identify its molecular ***:scRNA-seq was performed in resected primary OCS for an in-depth analysis of tumor cells and the tumor *** staining was used for *** scRNA-seq data of OCS were compared with those of high-grade serous ovarian carcinoma(HGSOC)tumors and other OCS ***:Both malignant epithelial and malignant mesenchymal cells were observed in the OCS patient of this *** identified four epithelial cell subclusters with different biological *** them,epithelial subcluster 4 presented high levels of breast cancer type 1 susceptibility protein homolog(BRCA1)and DNA topoisomerase 2-α(TOP2A)expression and was related to drug resistance and cell *** analyzed the interaction between epithelial and mesenchymal cells and found that fibroblast growth factor(FGF)and pleiotrophin(PTN)signalings were the main pathways contributing to communication between these ***,we compared the malignant epithelial and mesenchymal cells of this OCS tumor with our previous published HGSOC scRNA-seq data and OCS *** the epithelial subclusters in the OCS tumor could be found in the HGSOC ***,the mesenchymal subcluster C14 exhibited specific expression patterns in the OCS tumor,characterized by elevated expression of cytochrome P450 family 24 subfamily A member 1(CYP24A1),collagen type XXIIIα1 chain(COL23A1),cholecystokinin(CCK),bone morphogenetic protein 7(BMP7),PTN,Wnt inhibitory factor 1(WIF1),and insulin-like growth factor 2(IGF2).Moreover,this subcluster showed distinct characteristics when compared with both another previously published OCS tumor and normal ovarian ***:This study provides the single-cell transcriptomics signature of human OCS,which constitutes a new resource for elucidating OCS diversity.

关键词： Ovarian carcinosarcoma Single-cell RNA sequencing(scRNA-seq) tumor heterogeneity

An integrated MINLP model for multi-party coordination in downstream oil supply chain

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Petroleum Science 2024年第3期21卷 2066-2079页

作者： Rui Qiu Bo Zhang Wei Zhao Ren-Fu tu Man-Qiu He Qi Liao Yong-tu Liang National Engineering Laboratory for Pipeline Safety/Beijing Key Laboratory of Urban Oil and Gas Distribution Technology China University of Petroleum-BeijingFuxue Road No.18Changping DistrictBeijing102249PR China Strategy&Implementation Department PipeChinaDongtucheng Road No.5Chaoyang DistrictBeijing100013PR China

Cooperation among enterprises can bring overall and individual performance improvement,and a smooth coordination method is ***,due to the lack of customized coordination methods,cooperation in the downstream oil supply chain cannot be carried out *** paper intends to propose a multi-party coordination method to promote cooperation between oil shippers and pipeline operator by optimizing oil transportation,oil substitution and pipeline pricing *** integrated game-theoretic modeling and analysis approach is developed to characterize the operation behaviors of all stakeholders in the downstream oil supply *** proposed mixed integer nonlinear programming model constrains supply and demand capacity,transportation routes,oil substitution rules and pipeline freight *** transformation and price discretization are introduced for model linear *** experiments are carried out in the oil distribution system in South *** results show that compared to the business-as-usual scheme,the new scheme saves transportation cost by 3.48%,increases pipeline turnover by 5.7%,and reduces energy consumption and emissions by 7.66%and 6.77%.It is proved that the proposed method improves the revenue of the whole system,achieves fair revenue distribution,and also improves the energy and environmental benefits of the oil supply chain.

关键词： Downstreamoil supplychain Multi-partycoordination Cooperative game Mixed integernonlinear programming model Pipeline transportation Revenue distribution

Equivalence between the internal observability and equation

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Applied Mathematics(A Journal of Chinese Universities) 2024年第1期39卷 89-97页

作者： LIU Wen-jun tu Zhi-yu School of Mathematics and Statistics Nanjing University of Information Science and TechnologyNanjing 210044China

This paper is concerned with a third order in time linear Moore-Gibson-Thompson equation which describes the acoustic velocity potential in ultrasound wave *** by the work of Kaltenbacher,Lasiecka and Marchand(Control Cybernet.2011,40:971-988),we establish an observability inequality of the conservative problem,and then discuss the equivalence between the exponential stabilization of a dissipative system and the internal observational inequality of the corresponding conservative system.

关键词： Moore-Gibson-Thompson equation internal observability exponential stability

Sobolev Mapping of the Bergman Projections on Generalized Hartogs Triangles

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Acta Mathematica Sinica,English Series 2024年第2期40卷 451-466页

作者： Hong Yan LIU Zhen Han tu School of Mathematics and Statistics Wuhan UniversityWuhan 430072P.R.China

In this paper,we investigate Sobolev mapping properties of the Bergman *** domain we focus on is defined byΩm/n:={(z,w)∈C^(1+N):|w1|<|z|m1/n1<1,…|wN|<|z|/m_(N)/n_(N)<1},where m=(m1,…mN)∈(Z^(+))^(N),n=(n1,…nN)∈(Z^(+))N,N∈Z^(+).Sobolev irregularity of the Bergman projections on 2 is *** also prove some Sobolev regularity results of the Bergman projections onΩm/n for m=(1,…1).

关键词： Bergman projections generalized Hartogs triangles Sobolev spaces

Core-shell mesoporous carbon hollow spheres as Se hosts for advanced Al-Se batteries

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International Journal of Minerals,Metallurgy and Materials 2024年第5期31卷 899-906页

作者： Haiping Lei Tianwei Wei Jiguo tu Shuqiang Jiao State Key Laboratory of Advanced Metallurgy University of Science and Technology BeijingBeijing 100083China School of Metallurgical and Ecological Engineering University of Science and Technology BeijingBeijing 100083China

Incorporating a selenium(Se)positive electrode into aluminum(Al)-ion batteries is an effective strategy for improving the overall battery ***,the cycling stability of Se positive electrodes has challenges due to the dissolution of intermediate reaction *** this work,we aim to harness the advantages of Se while reducing its limitations by preparing a core-shell mesoporous carbon hollow sphere with a titanium nitride(C@TiN)host to load 63.9wt%Se as the positive electrode material for Al-Se *** the physical and chemical confinement offered by the hollow mesoporous carbon and TiN,the obtained core-shell mesoporous carbon hollow spheres coated with Se(Se@C@TiN)display superior utilization of the active material and remarkable cycling *** a result,Al-Se batteries equipped with the as-prepared Se@C@TiN composite positive electrodes show an initial discharge specific capacity of 377 mAh·g^(-1)at a current density of 1000 mA·g^(-1)while maintaining a discharge specific capacity of 86.0 mAh·g^(-1)over 200 *** improved cycling performance is ascribed to the high electrical conductivity of the core-shell mesoporous carbon hollow spheres and the unique three-dimensional hierarchical architecture of Se@C@TiN.

关键词： aluminum-selenium batteries intermediate products core-shell mesoporous carbon hollow sphere cycling performance

Anoctamin 4 defines glucose-inhibited neurons in the ventromedial hypothalamus

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Neural Regeneration Research 2024年第6期19卷 1177-1178页

作者： Longlong tu Yanlin He Yong Xu Children’s Nutrition Research Center Department of PediatricsBaylor College of MedicineOne Baylor PlazaHoustonTXUSA Brain Glycemic and Metabolism Control Department Pennington Biomedical Research CenterLouisiana State UniversityBaton RougeLAUSA Department of Molecular and Cellular Biology Section of EndocrinologyDiabetes and MetabolismDepartment of MedicineBaylor College of MedicineHoustonTXUSA

Glucose is the primary fuel source of the brain,and therefore glucose levels need to be tightly regulated and maintained within a small physiological ***,the body necessitates a stable supply of energy mainly provided by glucose for various bodily *** or low blood glucose levels would impair the physiological functions of various organs of the body.

关键词： inhibited medial organs