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A mixed Formulation of Stabilized Nonconforming Finite Element method for Linear Elasticity

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Advances in Applied Mathematics and Mechanics 2020年第1期12卷 278-300页

作者： Bei Zhang Jikun Zhao College of Science Henan University of TechnologyZhengzhouHenan 450001China School of Mathematics and Statistics Zhengzhou UniversityZhengzhouHenan 450001China

Based on the primal mixed variational formulation,a stabilized nonconforming mixed finite element method is proposed for the linear elasticity problem by adding the jump penalty term for the displacement.Here we use the piecewise constant space for stress and the Crouzeix-Raviart element space for displacement.The mixed method is locking-free,i.e.,the convergence does not deteriorate in the nearly incompressible or incompressible case.The optimal convergence order is shown in the L^(2)-norm for stress and in the broken H1-norm and L2-norm for displacement,respectively.Finally,some numerical results are given to demonstrate the optimal convergence and stability of the mixed method.

关键词： mixed method nonconforming finite element elasticity locking-free stabilization

IMPLEMENTATION OF mixed methodS AS FINITE DIFFERENCE methodS AND APPLICATIONS TO NONISOTHERMAL MULTIPHASE FLOW IN POROUS MEDIA

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Journal of Computational Mathematics 2006年第3期24卷 281-294页

作者： Zhang-xin Chen Xi-jun Yu Center for Scientific Computation Box 750156 Southern Methodist University Dallas TX 75275-0156 USA Research Center for Science Xi'an Jiaotong University Xi'an 710049 China Center for Advanced Reservoir Modeling and Simulation College Vof Engineering'PekingI University China Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics Beijing 100088 China

In this paper we consider mixed finite element methods for second order elliptic problems. In the case of the lowest order Brezzi-Douglas-Marini elements （if d = 2） or Brezzi- Douglas-Duran-Fortin elements （if d = 3） on rectangular parallelepipeds, we show that the mixed method system, by incorporating certain quadrature rules, can be written as a simple, cell-centered finite difference method. This leads to the solution of a sparse, positive semidefinite linear system for the scalar unknown. For a diagonal tensor coefficient, the sparsity pattern for the scalar unknown is a five point stencil if d = 2, and seven if d = 3. For a general tensor coefficient, it is a nine point stencil, and nineteen, respectively. Applications of the mixed method implementation as finite differences to nonisothermal multiphase, multicomponent flow in porous media are presented.

关键词： Finite difference Implementation mixed method Error estimates Superconvergence Tensor coefficient Nonisothermal multiphase Multicomponent flow Porousmedia.

Stabilization for Equal-Order Polygonal Finite Element method for High Fluid Velocity and Pressure Gradient

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Computers, Materials & Continua 2020年第3期62卷 1109-1123页

作者： T.Vu-Huu C.Le-Thanh H.Nguyen-Xuan M.Abdel-Wahab Department of Electrical energy MetalsMechanical Constructions and SystemsFaculty of Engineering and ArchitectureGhent UniversityGhentBelgium Faculty of Civil Engineering Vietnam Maritime UniversityHai PhongVietnam Faculty of Civil Engineering and Electricity Ho Chi Minh City Open UniversityHo Chi MinhVietnam CIRTech Institute Ho Chi Minh City University of Technology(HUTECH)Ho Chi MinhVietnam Division of Computational Mechanics Ton Duc Thang UniversityHo Chi MinhVietnam Faculty of Civil Engineering Ton Duc Thang UniversityHo Chi MinhVietnam

This paper presents an adapted stabilisation method for the equal-order mixed scheme of finite elements on convex polygonal meshes to analyse the high velocity and pressure gradient of incompressible fluid flows that are governed by Stokes equations system.This technique is constructed by a local pressure projection which is extremely simple,yet effective,to eliminate the poor or even non-convergence as well as the instability of equal-order mixed polygonal technique.In this research,some numerical examples of incompressible Stokes fluid flow that is coded and programmed by MATLAB will be presented to examine the effectiveness of the proposed stabilised method.

关键词： Polygonal finite element method fluid computation stokes equation mixed method local projection

Determinants of Risky Sexual Behaviour among Inmates in Katsina Correctional Service: A mixed methods Study

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Advances in Sexual Medicine 2021年第2期11卷 17-37页

作者： Asma’u Usman Aishatu Yusha’u Armiya’u Zubairu Iliyasu Department of Pathology Federal Medical Center Katsina Katsina State Nigeria Department of Psychiatry Forensic psychiatry unit Jos University Teaching Hospital Plateau State Nigeria Department of Community Medicine Bayero University Kano Kano State Nigeria

Background: Incarceration does not vitiate sexual desire. Therefore, sexual activities occur behind bars, regardless of the stringent rules in correctional institutions. However, little has been documented about risky sexual behaviors, determinants, and experiences among inmates of correctional institutions in Katsina State, Nigeria. The study determined the sexual practices, prevalence, and determinants of risky sexual behaviors among prison inmates in Katsina. Methodology: A descriptive cross-sectional design with concurrent mixed methods of data collection was used to interview 216 inmates using a semi-structured questionnaire supplemented with 22 in-depth interviews. Result: Most (94%) respondents were male, almost half (44.4%) had secondary education, more than half (55.1%) were engaged in business or trading before incarceration, and the majority (75.9%) were awaiting trial. Nearly all inmates (98.6%) reported having sexual desire. Drug use (80.1%) and unprotected sex (79.2%) were quite common but sexual violence was low (7.4%). The number of sexual partners of respondents remained a significant predictor of sexual activity. Inmates who had one (1) or no sexual partner were 64% less likely to engage in risky sexual activity within the confines of the prison (AOR = 0.36, 95% CI = 0.20 - 0.63, p = 0.01). Qualitative interviews revealed the denial of occurrence of sexual activity

关键词： Inmates Correctional Service Sexual Practices mixed method Nigeria

Critical Analysis of Quantitative and Qualitative Research in Business and Management Study

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青春岁月 2014年第19期 98-100页

作者：阎琳中南大学外国语学院

There are two kinds of research traditions-qualitativeand and quantitative in business and management study and both of them have their own merits and demerits. In the practicalsituation we should choose the most suit... 详细信息

关键词： qualitative research quantitative research business and and management study mixed method

mixed FINITE ELEMENTS FOR ELASTICITY

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MIXED FINITE ELEMENTS FOR ELASTICITY