马逸尘
Navier-Stokes方程,中子输运方程和数学物理方程反问题的数值分析,包括最优控制有限元、加罚有限元、流线扩散有限元、惯性流形计算以及多重网格。
个性化签名
- 姓名:马逸尘
- 目前身份:
- 担任导师情况:
- 学位:
-
学术头衔:
博士生导师
- 职称:-
-
学科领域:
计算数学
- 研究兴趣:Navier-Stokes方程,中子输运方程和数学物理方程反问题的数值分析,包括最优控制有限元、加罚有限元、流线扩散有限元、惯性流形计算以及多重网格。
马逸尘,1943年9月生,1981年5月-至今 西安交通大学数学系讲师、副教授、教授、博士生导师;1985年9月—1986年9月 德国Bonn大学进修;1996年4月—1997年4月 德国Bonn大学访问学者。
研究领域:Navier-Stokes方程,中子输运方程和数学物理方程反问题的数值分析,包括最优控制有限元、加罚有限元、流线扩散有限元、惯性流形计算以及多重网格。公开发表论文90多篇,合作著书(研究生教材2本),参加相关科研项目获交通部,国家教委科技进步奖等四次。
-
主页访问
2302
-
关注数
0
-
成果阅读
290
-
成果数
7
马逸尘, 胡常兵
西安交能大学学报,1995,29(10):104~113,-0001,():
-1年11月30日
讨论了一类耗散发展方程时间离散化之后惯性流形的存在性。证明了如果时间步长充分小,且主算子A满足一个谱间隔条件,则所讨论的发展方程的一个简单差分格式存在一个惯性流形Mh.与Demengel F。的研究结果相比较,不仅简化了存在性证明,而且所建立的理论适用于更一般的非线性项。更进一步。在所建立的框架下,可以构造一个惯性流形序列(MhM),在某种意义下,当M-∞时MhM→Mh当h趋于零时Mh的收敛性以及理论应用将在第Ⅱ部分讨论。
发展方程, 时间离散化, 惯性流形
-
51浏览
-
0点赞
-
0收藏
-
0分享
-
75下载
-
0评论
-
引用
马逸尘, 李功胜
数学物理学报,2000,20(1):48~57,-0001,():
-1年11月30日
研究热传导方程在一类非局部时间的边界条件下非线性热源的反演问题,文中应用Sobolev紧性方法证明了热源在Hōlder空间中的(关于时间的)局部存在性。
热传导, 反问题.非线性热源, Hōlder空间.
-
52浏览
-
0点赞
-
0收藏
-
0分享
-
74下载
-
0评论
-
引用
【期刊论文】Invariant characters of information systems under some homomorphisms
马逸尘, Li Deyu *, Ma Yichen
Information Sciences 129(2000)211-220,-0001,():
-1年11月30日
An information system is one of the very important mathematical models in the field of artificial intelligence. The notion of an information system homomorphism as a kind of tool to study the relation between two information systems was introduced in J.W. Grzymala-Busse (Algebraic properties of knowledge representation systems, in: Proceedings of the ACM SIGART International Symposium on Methodologies for Intelligent Systems, Knoxville, 1986, pp. 432
Rough set theory, Indiscernibility relation, Information systems, Super-uous attribute, Information system homomorphism
-
37浏览
-
0点赞
-
0收藏
-
0分享
-
116下载
-
0评论
-
引用
【期刊论文】TWO-GRID ERROR ES TIMATES FOR THE STREAM FUNCTION FORM OF NAVI ER-S TOKES EQUATIONS*
马逸尘, REN Chun-feng, MA Yi-chen
(English Edition, Vol 23, No.7, Jul 2002),-0001,():
-1年11月30日
The two-grid finite element approximation to the stream function form of the stationary Navier-Stokes equations was analyzed. The algorithms involve solving one small, nonlinear coarse mesh system, one linear problem on the fine mesh system, and a linear correct problem on the coarse mesh. The algorithms with the correct problem and without the correct problem were discussed. The algorithms produce an approximate solution with the optimal, asymptotic accuracy for any fixed Reynolds number.
Navier-Stokes equation, two-grid method, stream function
-
64浏览
-
0点赞
-
0收藏
-
0分享
-
67下载
-
0评论
-
引用
马逸尘, Xin-qiang Qin a, b, *, Yi-chen Ma a
Applied Mathematics and Computation 165(2005)419-431,-0001,():
-1年11月30日
A two-grid scheme for characteristics finite-element solution of nonlinear convection-dominated diffusion equations was constructed. The L2 and H1 error estimates of the scheme were derived. A numerical example was also presented. The scheme involves solving one small, nonlinear problem on the coarse-grid system, one linear problem on the fine-grid system. The error estimates and the numerical example show that the new scheme is efficient to the nonlinear convection-dominated diffusion equations.
Convection-diffusion equations, Characteristics finite-element, Two-grid scheme
-
0浏览
-
0点赞
-
0收藏
-
0分享
-
140下载
-
0评论
-
引用
【期刊论文】MAXIMAL ATTRACTORS OF CLASSICAL SOLUTIONS FOR REACTION DIFFUSION EQUATIONS WITH DISPERSION 1
马逸尘, Li Yanling, Ma Yicheng
ACTA MATHEMATICA SCIENTIA, Vol. 25 Ser. B(2): 248-258,-0001,():
-1年11月30日
The paper first deals with the existence of the maximal attractor of classical solution for reaction diffusion equation with dispersion, and gives the sup-norln estimate for the attractor. This estimate is optimal for the attractor under Neumann boundary condition. Next, the same problem is discussed for reaction diffusion system with uniformly contracting rectangle, and it reveals that the maximal attractor of classical solution for such system in the whole space is only necessary to be established in some invariant region. Finally, a few examples of application are given.
Maximal attractor, reaction-diffusion equation, classical solution, contract-ing rectangle
-
47浏览
-
0点赞
-
0收藏
-
0分享
-
29下载
-
0评论
-
引用
【期刊论文】A TWO-GRID METHOD FOR THE STEADY PENALIZED NAVIER-STOKES EQUATIONS ※1)
马逸尘, Chun-feng Rcn, Yi chen Ma
Journal of Computational Mathematics, Vol. 22. No.1, 2004, 101-112,-0001,():
-1年11月30日
A two-grid method for the steady penalized incomprcssiblc Navicr-Stokes equations is presented. Convergence results arc proved. If h=O(h3-s) and ∈=O(H5-2s) (s=0 (n=2); s=1/2 (n=3)) arc chosen, the convcrgcnce order of this two-grid method is the same as that of the usual finite element method. Numerical results show that this method is efficient and can save a lot of computation time.
Penalized Navicr-Stokes equations, Two-grid method, Error estimate, Numer-ical test.,
-
39浏览
-
0点赞
-
0收藏
-
0分享
-
25下载
-
0评论
-
引用