国家自然科学基金(91130002)

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反常扩散方程状态受限最优控制问题的谱方法被引量：1
《中国科学：数学》2016年第7期1053-1070,共18页叶星旸 许传炬 
国家自然科学基金(批准号:91130002;11471274和11421110001)资助项目
本文研究状态变量积分受限的反常扩散方程最优控制问题的时空谱方法,其控制方程为一个时间分数阶扩散方程.本文利用最优化理论中的Kuhn-Tucker条件分别推导了连续和离散的最优控制问题的最优性条件,分析了谱离散解的先验误差估计,并利...
关键词：分数阶扩散方程 最优控制 谱方法 先验误差 
Well-posedness of a kind of nonlinear coupled system of fractional differential equations
《Science China Mathematics》2016年第6期1209-1220,共12页ZHOU XiaoJun XU ChuanJu 
supported by National Natural Science Foundation of China(Grant Nos.11471274,11421110001 and 91130002);Natural Science Foundation of Guizhou Province(Grant No.LKS[2013]04)
We study the boundary value problem of a coupled differential system of fractional order, and prove the existence and uniqueness of solutions to the considered problem. The underlying differential system is featured b...
关键词：fractional differential equations nonlinear coupled system existence and uniqueness of solutions 
Numerical simulations of instabilities in the implosion process of inertial confined fusion in 2D cylindrical coordinates被引量：2
《Science China(Physics,Mechanics & Astronomy)》2016年第1期75-85,共11页Heng Yong ChuanLei Zhai Song Jiang Peng Song ZhenSheng Dai JianFa Gu 
supported by the National Natural Science Foundation of China (Grant Nos. 11371065, 11126134, 11401033, 91130002 and 91330205);the China Academy of Engineering Physics Project (Grant Nos.2012A0202010 and 2015B0202035);the National High Technology Research and Development Program of China (Grant No. 2012AA01A303);the Foundation of Science and Technology Computation Physics Laboratory;the National Hi-Tech Inertial Confinement Fusion Committee of China
In this paper, we introduce a multi-material arbitrary Lagrangian and Eulerian method for the hydrodynamic radiative multi-group diffusion model in 2D cylindrical coordinates. The basic idea in the construction of the...
关键词：material interfaces Rayleigh-Taylor instability Richtmyer-Meshkov instability arbitrary Lagrangian and Eulerian frame-work Moment-of-Fluid method 
对两类带有非局部项的水波模型的半隐式谱缺陷校正法及其衰减性质的数值研究被引量：1
《中国科学：数学》2015年第8期1153-1168,共16页毛志平 沈捷 
国家自然科学基金(批准号:91130002和11371298)资助项目
本文主要对两类带非局部项水波模型的衰减性质进行数值研究,第一类模型是具有时间非局部黏性项的KdV型方程:u_t+u_x+βu_(xxx)+v^(1/2)/π^(1/2)∫tou_t(s)/t-x^(1/2)+uu_x=vu_(xx),另一类为空间非局部黏性扩散-色散的Kakutani-Matsuuch...
关键词：水波 衰减率 半隐式 谱缺陷校正 
多群辐射输运计算的输运综合加速方法被引量：2
《计算物理》2014年第5期505-513,共9页李双贵 杨容 杭旭登 
国防基础科研计划(B1520110011);国家自然科学基金(91130002);国家863高技术惯性约束聚变专题资助项目
研究多群辐射输运计算的源迭代输运综合加速方法,通过优化灰体输运综合加速,构造了双层嵌套的输运综合加速方法.数值算例表明新方法较灰体输运综合加速进一步提高计算效率,且适用于吸收系数强间断的高维复杂几何问题.
关键词：多群辐射输运 离散纵标方法 源迭代 输运综合加速方法 
A Numerical Study of Jet Propulsion of an Oblate Jellyfish Using a Momentum Exchange-Based Immersed Boundary-Lattice Boltzmann Method
《Advances in Applied Mathematics and Mechanics》2014年第3期307-326,共20页Hai-Zhuan Yuan Shi Shu Xiao-Dong Niu Mingjun Li Yang Hu 
the One Hundred Person Project of Hunan Province of China under Xiangtan University,and the Academic Frontier Research Project on”Next Generation Zero-emission Energy Conversion System”of Ministry of Education,Culture,Sports,Science and Technology of Japan,and NSFC Project(Grant No.91130002 and 11171281);Innovative Research Team in University of China(No.IRT1179);Specialized research Fund for the Doctoral Program of Higher Education(Grant No.20124301110003);Hunan Provincial Innovation Foundation for Postgraduate(CX2012B239)。
In present paper,the locomotion of an oblate jellyfish is numerically investigated by using a momentum exchange-based immersed boundary-Lattice Boltzmann method based on a dynamic model describing the oblate jellyfish...
关键词：Lattice Boltzmann method immersed boundary method momentum exchange oblate jellyfish locomotion 
A Posteriori Error Estimation of Spectral and Spectral Element Methods for the Stokes/Darcy Coupled Problem
《Journal of Mathematical Study》2014年第1期85-110,共26页Weiwei Wang Chuanju Xu 
This work is partially supported by NSF of China(Grant numbers 11071203 and 91130002).
In this paper,we carry out an a posteriori error analysis of Legendre spectral approximations to the Stokes/Darcy coupled equations.The spectral approximations are based on aweak formulation of the coupled equations b...
关键词：A posteriori error Stokes/Darcy coupled equations Spectralmethod Spectral element method 
A Novel Finite Volume Scheme with Geometric Average Method for Radiative Heat Transfer Problems
《应用物理前沿（中英文版）》2013年第4期32-44,共13页Cunyun Nie Haiyuan Yu 
This work was partially supported by NSFC Project （Grant No. 11031006, 91130002, 11171281）, the Key Project of Scientific Research Fund of Hunan Provincial Science and Technology Department （Grant No. 2011FJ2011）, Hunan Provincial Natural Science Foundation of China （Grant No. 12JJ3010）.
关键词：有限体积格式 几何平均法 辐射换热 辐射传热 轴对称性 数值试验 有限体积法 调和平均数 
Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem被引量：2
《Numerical Mathematics(Theory,Methods and Applications)》2013年第3期499-519,共21页Xingyang Ye Chuanju Xu 
The work of X.Y was partially supported by the Natural Science Foundation of Fujian Province,China(Grant No.2012J01013);The work of C.X.was partially supported by National NSF of China(Grants 11071203 and 91130002).
An inverse problem of reconstructing the initial condition for a time fractional diffusion equation is investigated.On the basis of the optimal control framework,the uniqueness and first order necessary optimality co...
关键词：Time fractional diffusion equation inverse problem spectral method error estimate conjugate gradient method. 
Superconvergence and Asymptotic Expansions for Bilinear Finite Volume Element Approximations
《Numerical Mathematics(Theory,Methods and Applications)》2013年第2期408-423,共16页Cunyun Nie Shi Shu Haiyuan Yu Juan Wu 
supported by NSFC Project(Grant No.11031006,91130002,11171281);the Key Project of Scientific Research Fund of Hunan Provincial Science and Technology Department(Grant No.2011FJ2011);Specialized research Fund for the Doctoral Program of Higher Education(Grant No.20124301110003);Program for Changjiang Scholars and Innovative Research Team in University of China(No.IRT1179);Hunan Provincial Natural Science Foundation of China(Grant No.12JJ3010)。
Aiming at the isoparametric bilinear finite volume element scheme,we initially derive an asymptotic expansion and a high accuracy combination formula of the derivatives in the sense of pointwise by employing the energ...
关键词：Isoparametric bilinear finite volume element scheme asymptotic expansion high accuracy combination formula SUPERCONVERGENCE 
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