典型文献
UNCONDITIONALLY OPTIMAL ERROR ESTIMATES OF THE BILINEAR-CONSTANT SCHEME FOR TIME-DEPENDENT NAVIER-STOKES EQUATIONS
文献摘要：
In this paper,the unconditional error estimates are presented for the time-dependent Navier-Stokes equations by the bilinear-constant scheme.The corresponding optimal error estimates for the velocity and the pressure are derived unconditionally,while the previous works require certain time-step restrictions.The analysis is based on an iterated time-discrete system,with which the error function is split into a temporal error and a spatial error.The T-independent (T is the time stepsize) error estimate between the numerical solution and the solution of the time-discrete system is proven by a rigorous analysis,which implies that the numerical solution in L∞-norm is bounded.Thus optimal error estimates can be obtained in a traditional way.Numerical results are provided to confirm the theoretical analysis.
文献关键词：
中图分类号：
作者姓名：
Huaijun Yang;Dongyang Shi
作者机构：
School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China;School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China
文献出处：
引用格式：
[1]Huaijun Yang;Dongyang Shi-.UNCONDITIONALLY OPTIMAL ERROR ESTIMATES OF THE BILINEAR-CONSTANT SCHEME FOR TIME-DEPENDENT NAVIER-STOKES EQUATIONS)[J].计算数学（英文版）,2022(01):127-146
A类：
UNCONDITIONALLY,OPTIMAL,ERROR,BILINEAR,CONSTANT,SCHEME,EQUATIONS,stepsize
B类：
ESTIMATES,OF,THE,FOR,TIME,DEPENDENT,NAVIER,STOKES,In,this,paper,error,estimates,are,presented,Navier,Stokes,equations,by,bilinear,constant,scheme,corresponding,optimal,velocity,pressure,derived,unconditionally,while,previous,works,require,certain,restrictions,analysis,iterated,discrete,system,which,function,split,into,temporal,spatial,independent,between,numerical,solution,proven,rigorous,implies,that,norm,bounded,Thus,can,obtained,traditional,way,Numerical,results,provided,confirm,theoretical
AB值：
0.529682
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