国家自然科学基金(11171038)

作品数：15被引量：17H指数：2
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相关作者：蔚喜军张荣培赵国忠冯涛李珍珍更多>>
相关机构：北京应用物理与计算数学研究所辽宁石油化工大学中国科学技术大学中国工程物理研究院更多>>
相关期刊：《Chinese Physics B》《Acta Mathematicae Applicatae Sinica》《Communications in Computational Physics》《Numerical Mathematics(Theory,Methods and Applications)》更多>>
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杂交混合有限元方法求解二维椭圆界面问题被引量：1
《辽宁石油化工大学学报》2015年第5期68-72,共5页张荣培 刘佳 
国家自然科学基金资助项目(11171038)
采用杂交混合有限元(Hybrid mixed finite element)方法求解椭圆界面问题。由于扩散系数在界面上间断,椭圆界面问题的解和梯度在界面上会出现跳跃现象,针对二维椭圆界面问题,在三角网格上采取杂交混合有限元方法,该方法的特点表现在对...
关键词：杂交混合有限元方法 间断系数 椭圆方程 界面问题 LAGRANGE乘子 
Local Discontinuous Galerkin Method for Parabolic Interface Problems
《Acta Mathematicae Applicatae Sinica》2015年第2期453-466,共14页Zhi-juan ZHANG Xi-jun YU 
Supported by the National Natural Science Foundation of China(Grant No.11171038);Youth Foundation of Tianyuan Mathematics(Grant No.11126279);The Science Foundation of China Academy of Engineering Physics(Grant No.2013A0202011);Defense Industrial Technology Development Program(Grant No.B1520133015)
In this paper, the minimal dissipation local discontinuous Galerkin method is studied to solve the parabolic interface problems in two-dimensional convex polygonal domains. The interface may be arbitrary smooth curves...
关键词：parabolic interface problem minimal dissipation local discontinuous Galerkin method error estimates 
多介质流模拟的Runge-Kutta控制体积间断有限元方法（英文）被引量：3
《计算物理》2014年第3期271-284,共14页赵国忠 蔚喜军 李珍珍 
Supported by National Natural Science Foundation of China(11261035 and 11171038);Science Research Foundation ofInstitute of Higher Education of Inner Mongolia Autonomous Region,China(NJZZ12198);Nature Science Foundation of InnerMongolia Autonomous Region,China(2012MS0102);Science and Technology Development Foundation of CAEP(2013A0202011)
构造可用于多介质流数值模拟的Runge-Kutta控制体积(RKCV)间断有限元方法.对于多介质流模拟,使用线性和非线性的Riemann问题解法器计算界面处的数值流通量.该方法是一种高精度的数值方法且可以保证流体的局部守恒.数值结果表明,即使是...
关键词：可压缩Euler方程组 RKCV间断有限元方法 多介质流 
A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions被引量：2
《Communications in Computational Physics》2014年第4期1184-1206,共23页Zhenzhen Li Xijun Yu Jiang Zhu Zupeng Jia 
supported by the National Natural Science Foundation of China(Grant No.11171038);the Science Foundation of China Academy of Engineering Physics,China(Grant No.2013A0202011);the National Council for Scientific and Technological Development of Brazil(CNPq).
This paper presents a new Lagrangian type scheme for solving the Euler equations of compressible gas dynamics.In this new scheme the system of equations is discretized by Runge-Kutta Discontinuous Galerkin(RKDG)method...
关键词：Lagrangian type scheme compressible Euler equations RKDG method conservative scheme 
Weighted Interior Penalty Methodwith Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation
《Communications in Computational Physics》2013年第10期1287-1303,共17页Rongpei Zhang Xijun Yu Jiang Zhu Abimael F.D.Loula Xia Cui 
the National Nature Science Foundation of China(11171038);R.Zhang’s work was also supported by Brazilian Young Talent Attraction Program via National Council for Scientific and Technological Development(CNPq).J.Zhu and A.Loula’s works were partially supported by CNPq.X.Cui’s work was partially supported by the National Natural Science Foundation of China(11271054);the Science Foundation of CAEP(2010A0202010,2012B0202026);the Defense Industrial Technology Development Program(B1520110011).
Weighted interior penalty discontinuous Galerkin method is developed to solve the two-dimensional non-equilibrium radiation diffusion equation on unstructured mesh.There are three weights including the arithmetic,the ...
关键词：Discontinuous Galerkin weighted interior penalty semi-implicit integration factor non-equilibrium radiation diffusion 
预处理JFNK方法求解非平衡辐射扩散方程组(英文)被引量：2
《计算物理》2013年第4期483-490,共8页冯涛 蔚喜军 安恒斌 张荣培 
Supported by National Natural Science Foundation of China(11171039,11171038,11271054);National Basic Research Program of China(2011CB309702,2011CB309703);Science Foundation of CAEP(2012B0202026,2010A0202010);Foundation of National Key Laborotory of Science and Technology on Computation Physics and Defence Industrial Technology Development Program(B1520110011)
分别采用四种半隐式离散方法构造预处理.针对一维辐射扩散方程组,采用预处理的Jacobian-free Newton-Krylov(PJFNK)求解.数值结果表明预处理方法能够很好地改进JFNK方法的收敛行为.
关键词：非平衡辐射扩散 Newton-Krylov方法 线性化 预处理 
A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient
《Numerical Mathematics(Theory,Methods and Applications)》2013年第2期325-342,共18页Rongpei Zhang Xijun Yu Xia Cui Xiaohan Long Tao Feng 
supported by the National Natural Science Foundation of China(Grant No:10771019,11171038);supported by the Young Talent Attraction program of Brazilian National Council for Scientific and Technological Development(CNPq).
In this paper,a new discontinuous Galerkin method is developed for the parabolic equation with jump coefficients satisfying the continuous flow condition.Theoretical analysis shows that this method is L^(2) stable.Whe...
关键词：Parabolic equation discontinuous coefficient discontinuous Galerkin method error estimate stability analysis 
The discontinuous Petrov-Galerkin method for one-dimensional compressible Euler equations in the Lagrangian coordinate被引量：5
《Chinese Physics B》2013年第5期96-103,共8页赵国忠 蔚喜军 郭鹏云 
Project supported by the National Natural Science Foundation of China (Grant Nos. 11261035 and 11171038);the Science Research Foundation of the Institute of Higher Education of Inner Mongolia Autonomous Region, China (Grant No. NJZZ12198);the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2012MS0102)
In this paper, a Petrov-Galerkin scheme named the Runge-Kutta control volume （RKCV） discontinuous finite ele- ment method is constructed to solve the one-dimensional compressible Euler equations in the Lagrangian co...
关键词：compressible Euler equations Runge-Kutta control volume discontinuous finite element method Lagrangian coordinate 
Modified Burgers' equation by the local discontinuous Galerkin method被引量：3
《Chinese Physics B》2013年第3期106-110,共5页张荣培 蔚喜军 赵国忠 
Project supported by the National Natural Science Foundation of China (Grant Nos. 11261035,11171038,and 10771019);the Science Research Foundation of Institute of Higher Education of Inner Mongolia Autonomous Region,China (Grant No. NJZZ12198);the Natural Science Foundation of Inner Mongolia Autonomous Region,China (Grant No. 2012MS0102)
In this paper,we present the local discontinuous Galerkin method for solving Burgers＇ equation and the modified Burgers＇ equation.We describe the algorithm formulation and practical implementation of the local disco...
关键词：local discontinuous Galerkin method modified Burgers＇ equation 
An RKDG finite element method for the one-dimensional inviscid compressible gas dynamics equations in a Lagrangian coordinate被引量：2
《Chinese Physics B》2013年第2期50-63,共14页赵国忠 蔚喜军 张荣培 
Project supported by the National Natural Science Foundation of China (Grant Nos. 11261035,11171038,and 10771019);the Science Reaearch Foundation of Institute of Higher Education of Inner Mongolia Autonomous Region,China (Grant No. NJZZ12198);the Natural Science Foundation of Inner Mongolia Autonomous Region,China (Grant No. 2012MS0102)
In this paper,Runge-Kutta Discontinuous Galerkin（RKDG） finite element method is presented to solve the onedimensional inviscid compressible gas dynamic equations in a Lagrangian coordinate.The equations are discreti...
关键词：compressible gas dynamic equations RKDG finite element method Lagrangian coordinate multi- medium fluid 
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