共查询到20条相似文献,搜索用时 15 毫秒
1.
JIANGLISHANG LIUZUHAN YIFAHUAI YUEXINGYE 《高校应用数学学报(英文版)》1995,10(1):1-10
This paper deals with the relationship between a certain three-dimensional elliptic problem and a two-dimensional parabolic problem, which arises from numerical calculation in the process of the continuous casting of steel. 相似文献
2.
Hou-deHan XinWen 《计算数学(英文版)》2003,21(4):435-450
We consider the numerical approximations of the three-dimensional steady potential flow around a body moving in a liquid of finite constant depth at constant speed and distance below a free surface in a channel. One vertical side is introduced as the up-stream artificial boundary and two vertical sides are introduced as the downstream arti-ficial boundaries. On the artificial boundaries, a sequence of high-order global artificial boundary conditions are given. Then the original problem is reduced to a problem defined on a finite computational domain, which is equivalent to a variational problem. After solving the variational problem by the finite element method, we obtain the numerical approximation of the original problem. The numerical examples show that the artificial boundary conditions given in this paper are very effective. 相似文献
3.
In this paper, based on the results presented in part I of this paper[18],we present a numerical embedding algorithm for solving the nonlinear complementarityproblem, and prove its convergence carefully. Numerical experiments show that thealgorithm is successful. 相似文献
4.
In this article, a new characterization of the closedness of the sum of two closed subspaces of a Hilbert space is established. 相似文献
5.
Li Yangrong 《数学年刊B辑(英文版)》1998,19(3):349-358
§1.IntroductionRecentlythetheoryofCsemigroupshasextensivelydevolopoedbymanyauthors(see[2-8,14]),butanaturalandimportantquest... 相似文献
6.
The authors deal with the singular variational problem S(a,b,λ0):=infu∈E,u(≡/)0 ∫RN(||X|-a(△)u|m ∫|x|-(a 1)m|u|m)dx/(∫RN||X|-bU|P dx)m/p as well as (S)=(S)(a,b,λ1,λ2):=u,ν,E∈,u(u,ν)(≡/)(1,1) ∫RN J(u,ν)dx/(∫RN|x|-bp|u|α|ν|βdx)m/p, whereJ(u, v) = ||x|- au|m λ1|x|- (a 1)m|u|m ||x|- av|m λ2|x|- (a 1)m|v|m,N ≥ m 1 > 2, 0 ≤ a < N-m/m, a ≤ b < a 1 and p = p(a,b) = α β =Nm/N-m m(b-a), α, β≥ 1, E = D1,mα(RN). The aim of this paper is to show the existence of minimizer for S(a, b, A0) and S(a, b, λ1, λ2). 相似文献
7.
ON THE EMPTY CONVEX PARTITION OF A FINITE SET IN THE PLANE 总被引:2,自引:0,他引:2
The authors discuss the partition of a finite set of points in the plane into empty convex polygons, and improve some upper bound and lower bound in the related enumeration problems. 相似文献
8.
The nonlinear D-S equations on R^d, with general power nonlinearity and with both the focusing and defocusing signs, are proved to be ill-posed in the Sobolev space H^s whenever the exponent s is lower than that predicted by scaling or Galilean invariance, or when the regularity is too low to support distributional solutions. Authors analyze a class of solutions for which the zero-dispersion limit provides good approximations. 相似文献
9.
THE SMOOTHNESS AND DIMENSION OF FRACTAL INTERPOLATION FUNCTIONS 总被引:2,自引:0,他引:2
CHENGANG 《高校应用数学学报(英文版)》1996,11(4):409-418
In this paper, we investigate the smoothness of non-equidistant fractal interpolation functions We obtain the Holder exponents of such fractal interpolation functions by using the technique of operator approximation. At last, We discuss the series expressiong of these functions and give a Box-counting dimension estimation of “critical” fractal interpohltion functions by using our smoothness results. 相似文献
10.
J. F. RODRIGUES 《数学年刊B辑(英文版)》2002,23(2):253-266
InroductlonThe classical obstacle problem canbe formulated as the 相似文献
11.
o.IntroductionInthispaperwedealwithqualltitativeKorovkintypetheoremsfortheaPproalmationbyboundedlinearoperatorsdefinedonC(X),andinparticularbypositiveones.HereC(X)=CR(X,d)denotestheBanachlatticeofreal-valuedcontinuousfunctionsdefinedonthecompactmetricspace(X,d)withnormgivenbylIfIlx=ma-xlf(x)I,xEX.WealsoassumethatXhasdiameterd(X)>o.ThefirstsuchtheoremforgeneralpositivelinearoperatorsandX=[a,b]equippedwiththeeuclidiandistanceisduetoR.Mamedovl4].Forspaces(X,d)beingmetricallyconvexinthes… 相似文献
12.
BIANBAOJUN 《高校应用数学学报(英文版)》1998,13(4):373-376
In this paper the implicit obstac|e problem of fully nonlinear second-order elliptic equations associated with impulsive control problem are investigated. The comparlon principle for viscosity solutions is proved,the existence and uniqueness results are disscussed. 相似文献
13.
Dongyang Shi Zhong-Ci Shi Jingzhu Wu 《计算数学(英文版)》2007,25(1):27-30
The main aim of this paper is to show that the quadrilateral mesh condition RDP(N, ψ) is only sufficient but not necessary for the optimal order error estimate of the Q isoparametric element in the Hi norm. 相似文献
14.
GUOBOLING WANGBIXIANG 《高校应用数学学报(英文版)》1996,11(2):125-136
Abstract. In the present paper, we deal with the long-time behavior of dissipative partial differenttial equations, and we construct the approximate inertial mardfolds for the nonlbaear Stringer equation with a zero order dlssipation. The order of approximation of these manlfolde to the global attractor is derived. 相似文献
15.
凌峻 《高校应用数学学报(英文版)》1993,8(1):32-44
In this paper,we prove the existence theorems of locbal or global classical solutions to Stefan problems with various kinetic conditions at the free boundary. 相似文献
16.
The local well-posedness of the Cauchy problem for the Hirota equation is established for low regularity data in Sobolev spaces Hs(s≥-1/4). Moreover, the global well-posedness for L2 data follows from the local well-posedness and the conserved quantity. For data in Hs(s > 0), the global well-posedness is also proved. The main idea is to use the generalized trilinear estimates, associated with the Fourier restriction norm method. 相似文献
17.
IIntroductlonAs one ofwell-kn。mean ield models for spin glasses,the SK(Sherrin红on-Kirkpatri山)model has been studied by many authors恤叫2]nd[81,andthe references therein).Particu-larl儿丁劝a以andls]repm眈* some quite lmerestingresults on It in his one-hour Invited talk tthe International Congress ofMathem航icians held t Berlin in August,ig98.In mathematical terms;the SK-Model Is the study of a cert。n random measure on Z。:={一1;1}”for a natural。mber N.Z。Is called configu… 相似文献
18.
S. PANIZZI 《数学年刊B辑(英文版)》2004,25(1):73-86
§1. Introduction This paper is devoted to the question of the global solvability of the dissipative Kirch-ho? equation ?t u ? m 2 | x u|2dx x u δ?tu = 0 (x ∈?, t > 0), … 相似文献
19.
求解指派问题的一个算法 总被引:7,自引:0,他引:7
为了便于建立与指派问题有关的决策支持系统,本给出了一个求解指派问题的数值算法,证明了算法的理论依据。该算法能求得问题的最优解,并具有易于编程实现、收敛性好等优点,大量数值实验表明该算法非常实用有效。 相似文献
20.
In this paper versal unfolding theorem of multiparameter equivaxiant bifurcation problem with parameter symmetry is given. The necessary and sufficient condition that unfolding of multiparameter equivariant bifurcation problem with parameter symmetry factors through another is given. The corresponding results in [1]-[6] are generalized. 相似文献