【摘 要】
：
This paper develops a framework to deal with the unconditional superclose analysis of nonlinear parabolic equation.Taking the finite element pair Q11/Q01 × Q10
【机 构】
：
School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450001, China
论文部分内容阅读
This paper develops a framework to deal with the unconditional superclose analysis of nonlinear parabolic equation.Taking the finite element pair Q11/Q01 × Q10 as an example,a new mixed finite element method (FEM) is established and the τ-independent superclose results of the original variable u in H1-norm and the flux variable (q)=-a(u)▽u in L2-norm are deduced (T is the temporal partition parameter).A key to our analysis is an error splitting technique,with which the time-discrete and the spatial-discrete systems are constructed,respectively.For the first system,the boundedness of the temporal errors are obtained.For the second system,the spatial superclose results are presented unconditionally,while the previous literature always only obtain the convergent estimates or require certain time step conditions.Finally,some numerical results are provided to confirm the theoretical analysis,and show the efficiency of the proposed method.
其他文献
我每天都要翻阅一下报架上的各类报纸,但总免不了有专栏图案上的错别字跃入眼帘。专栏图案错别字,中央级报纸有,地方报纸也有;党报有,专业、企业报纸也有。这些错字并不是一
针对室内定位中基于位置指纹的K近邻法采用固态K值无法得到最优定位结果的问题,提出自适应K值选择的K近邻法。算法利用相邻定位点短时间间隔内空间位置变化引起的信号强度变
七届人大、政协一次会议,堪称是一次“大曝光”,它们以其前所未有的公开性,为国内外新闻记者提供了自由驰骋的充分条件和机会。自中共“十三大”开始趋热的我国新闻界的竞争
In this paper,an efficient numerical method for solving the general fractional diffusion equations with Riesz fractional derivative is proposed by combining the
菜心(Brassica campestrisL.ssp.Chinensisvar.UtilisTsen et Lee),又名菜薹,在华南地区一年四季都可种植,无需低温春化便可抽薹开花,但是在种子萌发或幼苗期间遭受低温胁迫
The purpose of this paper is to analyze an efficient method for the solution of the nonlinear system resulting from the discretization of the elliptic Monge-Amp
This paper develops a class of general one-step discretization methods for solving the index-1 stochastic delay differential-algebraic equations.The existence a
We propose a multidimensional filter SQP algorithm.The multidimensional filter technique proposed by Gould et al.[SIAM J.Optim.,2005]is extended to solve constr
该品种于1989年从台湾引进,经两年3季的多点试种示范,表现产量高、品质好、适应广、抗性强。一般亩产400～450公斤,高者达500公斤以上。居我镇8个粳稻品种(300亩)之首,区试及