共查询到20条相似文献,搜索用时 93 毫秒
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本文将瀑布型多重网格法推广应用于求解二阶椭圆型变分不等式并给出了一些数值例子。数值算例表明该算法是有效的。 相似文献
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半线性椭圆型问题Mortar有限元逼近的瀑布型多重网格法 总被引:1,自引:0,他引:1
Mortar有限元法作为一个非协调的区域分解技术已得到许多研究者的关注(如文献[2]、[5]等)。本文对半线性椭圆型问题的Mortar有限元逼近提出了瀑布型多重网格法,并给出了此法的误差估计和计算复杂度估计定理。 相似文献
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1.引言 近年来,多重网格法已成为行之有效的偏微分方程数值解法.对板问题有限元离散系统的多重网格法,也有不少的研究工作,如[4],[5],[10],[13-17].在[4],[14-17]中,作者讨论了C1协调元离散板问题的多重网格法,并在能量模(即 H2模)意义下获得了最优的收敛率.在[5],[10]中,作者讨论了非协调元离散问题的多重网格法,并在能量模意义下获得了最优的收敛率,同时在能量模意义下证明了套迭代多重网格法一阶收敛.但对板问题多重网格法的低模估计,即 H1模估计,至今尚未见研究,本文… 相似文献
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多重网格法是一种求解椭圆边值问题离散所得的大型线性或非线性方程组的“最优”解法。在有限元离散情形,Hackbusch提出了一种多重网格法的收敛分析方法,即把线性或非线性的多重网格法收敛率的估计问题归结为所谓“光滑性质”与“逼近性质”的研究。在线性情形,若已知有限元解的误差估计,一般容易得到多重网格法的“逼近性质”。但对非线性多重网格法的“逼近性质”在什么条件下成立,尚未见到这方面的工 相似文献
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C. Clauß P. Schwarz B. Straube W. Vermeiren 《Mathematical and Computer Modelling of Dynamical Systems: Methods, Tools and Applications in Engineering and Related Sciences》2013,19(2):205-214
The condition for the DAE index to be higher than one is calculated symbolically. Using Analog Insydes a function for the computer algera system Mathmatica is written. It calculates the index condition if the sparse tableau analysis method, or the modified nodal analysis method is applied. 相似文献
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非重叠区域分解算法在于建立和求解相关的界面方程.建立界面方程在理论上虽。然容易推导,例如某些问题可用Gauss块消去法,但在实际计算时并不可行,所以界面方程在一些算法中是陷式的.而求解界面方程一般要进行预处理,本提出一种区域分解算法,可得出界面方程的显式表达.算法是完全并行的,所得出的界面方程的系数矩阵的条件数已与网参数无关,事实上就是(Sh^(1))^-1Sh,进而可直接用收敛速度较快的Chebyshev加速算法求解该界面方程,在充分应用并行计算方法的条件下,本算法与[4]中的算法相比计算效率提高. 相似文献
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符号几何规划的一种分解方法 总被引:1,自引:0,他引:1
针对符号几何规划提出了一种直接的分解方法,将难于求解的符号几何规划问题等价地转化为一个非线性程度很低的可分离规划,为寻求困难度高且规模较大的符号几何规划问题的求解提供了一种方法,特别是经此方法分解后的每个子问题均易于求解,最后给出了数值实例,验证了此方法的有效性. 相似文献
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We present a finite element method for the flow of two immiscible incompressible fluids in two and three dimensions. Thereby the presence of surface active agents (surfactants) on the interface is allowed, which alter the surface tension. The model consists of the incompressible Navier-Stokes equations for velocity and pressure and a convection-diffusion equation on the interface for the distribution of the surfactant. A moving grid technique is applied to track the interface, on that account a Arbitrary-Lagrangian-Eulerian (ALE) formulation of the Navier-Stokes equation is used. The surface tension force is incorporated directly by making use of the Laplace-Beltrami operator technique [1]. Furthermore, we use a finite element method for the convection-diffusion equation on the moving hypersurface. In order to get a high accurate method the interface, velocity, pressure, and the surfactant concentration are approximated by isoparametric finite elements. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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给求解无约束规划问题的记忆梯度算法中的参数一个特殊取法,得到目标函数的记忆梯度G o ldste in-L av in tin-Po lyak投影下降方向,从而对凸约束的非线性规划问题构造了一个记忆梯度G o ldste in-L av in tin-Po lyak投影算法,并在一维精确步长搜索和去掉迭代点列有界的条件下,分析了算法的全局收敛性,得到了一些较为深刻的收敛性结果.同时给出了结合FR,PR,HS共轭梯度算法的记忆梯度G o ldste in-L av in tin-Po lyak投影算法,从而将经典共轭梯度算法推广用于求解凸约束的非线性规划问题.数值例子表明新算法比梯度投影算法有效. 相似文献
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Arnon Levy 《偏微分方程通讯》2013,38(3-4):657-698
Majda's model of dynamic combustion, consists of the system, In this paper the Cauchy problem is considered. A weak entropy solution for this system is defined, existence, uniqueness and continuous dependence on initial data are proved, as well as finite propagation speed, for initial data in . The existence is proved via the "vanishing viscosity method". Furthermore it is proved that the solution to the Riemann problem converges as to the Z–N–D traveling wave solution. In the appendices, a second order numerical scheme for the model is described, and some numerical results are presented. 相似文献
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对某一类图的邻接矩阵进行分类 ,从而给出这类图的一种计数方法 ,并且这种方法比较原来的Polya方法更为可行 . 相似文献
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Adam B. Levy 《Set-Valued Analysis》2006,14(3):249-261
Calmness of multifunctions is a well-studied concept of generalized continuity in which single-valued selections from the image sets of the multifunction exhibit a restricted type of local Lipschitz continuity where the base point is fixed as one point of comparison. Generalized continuity properties of multifunctions like calmness can be applied to convergence analysis when the multifunction appropriately represents the iterates generated by some algorithm. Since it involves an essentially linear relationship between input and output, calmness gives essentially linear convergence results when it is applied directly to convergence analysis. We introduce a new continuity concept called ‘supercalmness’ where arbitrarily small calmness constants can be obtained near the base point, which leads to essentially superlinear convergence results. We also explore partial supercalmness and use a well-known generalized derivative to characterize both when a multifunction is supercalm and when it is partially supercalm. To illustrate the value of such characterizations, we explore in detail a new example of a general primal sequential quadratic programming method for nonlinear programming and obtain verifiable conditions to ensure convergence at a superlinear rate. 相似文献
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Zhong Guo ZHENG Jing XU Xing Wei TONG 《数学学报(英文版)》2006,22(4):1063-1068
A chain graph allows both directed and undirected edges, and contains the underlying mathematical properties of the two. An important method of learning graphical models is to use scoring criteria to measure how well the graph structures fit the data. In this paper, we present a scoring criterion for learning chain graphs based on the Kullback Leibler distance. It is score equivalent, that is, equivalent chain graphs obtain the same score, so it can be used to perform model selection and model averaging. 相似文献
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Andrey S. Krylov Anton V. Liakishev 《Numerical Functional Analysis & Optimization》2013,34(1-2):205-216
Numerical projection method of the Fourier transform inversion from data given on a finite interval is proposed. It is based on an expansion of the solution into a series of eigenfunctions of the Fourier transform. The number of terms of the expansion depends on the length of the data interval. Convergence of the solution of the method is proved. The projection method for the case of the sine Fourier transform and the set of the odd Hermite functions being its eigenfunctions are examined and applied to numerical Fourier filtering. 相似文献