共查询到19条相似文献,搜索用时 62 毫秒
1.
Chen Shuxing 《数学年刊B辑(英文版)》1996,17(4):445-456
Inthispaperwecontinueourdiscussionin[5].Mainlywewillestablishaprioriestimatesforthelinearizedproblem(G),andthenprovetheexistenceofthesolutiontononlinearproblem.In§5wegivesometechnicalpreparations.Thenthewhole§6isdevotedtotheestablishmentofenergyestimates.I… 相似文献
2.
1IntroductionAs we well know,the study of the local existence of discontinuous solutions to semilinearor quasi-linear hyperbolic systems in higher dimension spaces has attracted considerable at-tention of many well-known mathematicians,thanks to A.Majda’… 相似文献
3.
Let f∈C[0,1],and Bn(f,x) be the a-th Bernstein polynomial associated with function f.ln 1967,the limit of iterates for B.(f,x) was given by Kelisky and Rivlin.After this,Many mathematicians studied and generalized this result.But anyway,all these discussions are only for univariate case ,In this paper,the main contrlbution is that the limit of lterates for Bernstein polynomial defined on a triangle is given completely. 相似文献
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§1. Introduction Let q ≥3 be a positive integer. For any integers m, n and k , we de?ne the generalk-th Kloosterman sums S(m,n,k,χ;q) as follows: q … 相似文献
5.
WangRenhong ZhouHeng 《分析论及其应用》2003,19(3):234-237
In this paper, we study the homogeneous polynomials orthogonal with the weight function h(x(d))=x1^2k1…xd^2kd on S^(d-1).We obtain the explicit formula on a basis of the orthogonal homogeneous polynomials of degree n. It is simpler than the formula in,and can be regarded as an extension of under the weighted case. 相似文献
6.
Tang Rongrong 《Annals of Differential Equations》2005,21(4):587-591
In this paper, using the layer theory, a class of singularly perturbed Robin problem of nonlinear non-autonomous equation is considered. According to the different regions of the boundary value, the asymptotic behaviors of solution for the original problem are obtained simply and conveniently. 相似文献
7.
刘春玲 《数学物理学报(B辑英文版)》2006,26(3):385-394
Assume that in the nonlinear regression model, independent variable sequence {xi,i≥1} is a known constant-vector sequence. This article proposes a condition on {xi}, which can be tested and verified easily. The condition is essential for proving the consistency and asymptotic normality of the estimator 相似文献
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1. IntroductionGiven n points' in[-1,1]-1≤t_n相似文献
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In this paper we will analyze the perturbation quality for a new algorithm of the (k) Jacobi matrix inverse eigenvalue problem. 相似文献
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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.
The main aim of this paper is to study the convergence properties of a low order mixed finite element for the Stokes problem under anisotropic meshes. We discuss the anisotropic convergence and superconvergence independent of the aspect ratio. Without the shape regularity assumption and inverse assumption on the meshes, the optimal error estimates and natural superconvergence at central points are obtained. The global superconvergence for the gradient of the velocity and the pressure is derived with the aid of a suitable postprocessing method. Furthermore, we develop a simple method to obtain the superclose properties which improves the results of the previous works . 相似文献
12.
Dong-ying Hua Lie-heng Wang 《计算数学(英文版)》2005,23(4):441-448
Based on the analysis of [7] and [10], we present the mixed finite element approximation of the variational inequality resulting from the contact problem in elasticity. The convergence rate of the stress and displacement field are both improved from O(h3/4) to quasi-optimal O(h│logh│^1/4). If stronger but reasonable regularity is available, the convergence rate can be optimal O(h). 相似文献
13.
In this work we introduce and analyze a mixed virtual element method(mixed-VEM)for the two-dimensional stationary Boussinesq problem.The continuous formulation is based on the introduction of a pseudostress tensor depending nonlinearly on the velocity,which allows to obtain an equivalent model in which the main unknowns are given by the aforementioned pseudostress tensor,the velocity and the temperature,whereas the pressure is computed via a postprocessing formula.In addition,an augmented approach together with a fixed point strategy is used to analyze the well-posedness of the resulting continuous formulation.Regarding the discrete problem,we follow the approach employed in a previous work dealing with the Navier-Stokes equations,and couple it with a VEM for the convection-diffusion equation modelling the temperature.More precisely,we use a mixed-VEM for the scheme associated with the fluid equations in such a way that the pseudostress and the velocity are approximated on virtual element subspaces of H(div)and H1,respectively,whereas a VEM is proposed to approximate the temperature on a virtual element subspace of H1.In this way,we make use of the L2-orthogonal projectors onto suitable polynomial spaces,which allows the explicit integration of the terms that appear in the bilinear and trilinear forms involved in the scheme for the fluid equations.On the other hand,in order to manipulate the bilinear form associated to the heat equations,we define a suitable projector onto a space of polynomials to deal with the fact that the diffusion tensor,which represents the thermal conductivity,is variable.Next,the corresponding solvability analysis is performed using again appropriate fixed-point arguments.Further,Strang-type estimates are applied to derive the a priori error estimates for the components of the virtual element solution as well as for the fully computable projections of them and the postprocessed pressure.The corresponding rates of convergence are also established.Finally,several numerical examples illustrating the performance of the mixed-VEM scheme and confirming these theoretical rates are presented. 相似文献
14.
本文研究一个描述肿瘤生长的自由边界问题.这个自由边界问题是对Byrne和Chaplain相应肿瘤生长模型的一个改进,研究了该问题解当t→∞时的渐近状况,证明了未血管化的肿瘤体积不会无限制地增大,它或者趋于消失,或者趋于一个休眠态,依营养物浓度的大小和抑制物浓度的大小而定. 相似文献
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1.引言我们将考虑具有退化系数的椭圆问题其中 Ω为 IR2中的一个凸多边形区域,定义为这里的g>0为分片线性连续函数.从物理背景来看,问题(1.1)来源于轴对称共振结构中的电磁场研究.Marini,Pietra(1995)[4]研究了问题(1.1)的混合有限元逼近,并得到了最优误差估计. 此文,我们采用一种新的混合元,即最小二乘混合元方法[5];对退化问题(1.1)进行逼近,利用插值投影证明了近似解具有最优阶精度的收敛性.比较起经典混合元方法来,最小二乘混合元方法有两个优越性:有限元空间不必满足L… 相似文献
17.
MARÍA EVANGELINA ALVAREZ SILVIA DI MARCO KATRIN ERDLENBRUCH MABEL TIDBALL 《Natural Resource Modeling》2016,29(3):353-373
In this paper, we study the optimal solutions of a model of natural resource management which allows for both impulse and continuous harvesting policies. This type of model is known in the literature as mixed optimal control problem. In the resource management context, each type of control represents a different harvesting technology, which has a different cost. In particular, we want to know when the following conjecture made by Clark is an optimal solution to this mixed optimal control problem: if the harvesting capacity is unlimited, it is optimal to jump immediately to the steady state of the continuous time problem and then to stay there. We show that under a particular relationship between the continuous and the impulse profit function, the conjecture made by Clark is true. In other cases, however, it is either better to use only continuous control variables or to jump to resource levels which are smaller than the steady state and then let the resource grow back to the steady state. These results emphasize the importance of the cost functions in the modeling of natural resource management. 相似文献
18.
陈恕行 《数学物理学报(B辑英文版)》2009,29(3):569-582
This paper is devoted to the Tricomi problem for a mixed type equation of second order. The coeffcients are assumed to be discontinuous on the line where the type is changed. The unique existence of the solution to the problem is proved if the domain is small enough. Correspondingly, some estimates on the solution is also established. 相似文献