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A NEW FINITE ELEMENT APPROXIMATION OF A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM被引量：6
《Journal of Computational Mathematics》2009年第1期97-114,共18页Wenbin Liu Wei Gong Ningning Yan 
the National Natural Science Foundation of China (No.60474027 and 10771211);the National Basic Research Program under the Grant 2005CB321701
In this paper, we study numerical methods for an optimal control problem with pointwise state constraints. The traditional approaches often need to deal with the deltasingularity in the dual equation, which causes man...
关键词：Optimal control problem State-constraints Fourth order variational inequalities Nonconforming finite element method. 
Singularly Perturbed Solution for Nonlinear Equations of Fourth Order with Two Parameters被引量：1
《Journal of Shanghai Jiaotong university(Science)》2008年第4期495-498,共4页陈丽华 莫嘉琪 刘树德 
the National Natural Science Foundation of China (No. 40676016);the National Basic Research Program (973) of China (No. 2003CB415101-03 and 2004CB418304);the Key Project of the Chinese Academy of Sciences (No. KZCX3-SW-221);in part by E-Insitutes of Shanghai Municipal Education Commission (No. N.E03004);the Science and Technology Foundation of the Education Department of Fujian(No. JB07189)
A class of singularly perturbed boundary value problem for nonlinear equation of fourth order with two parameters is considered. Under suitable conditions, the existence and asymptotic behavior of solution for boundar...
关键词：NONLINEAR two parameters singular perturbation 
Fourth order accurate compact scheme with group velocity control (GVC)被引量：10
《Science China Mathematics》2001年第9期1197-1204,共8页马延文 傅德薰 
the computers of the State Kay Laboratory of Scientific and Engineering Computing, the Chinese Academy of Sciences; This work was supporded by the National Natural Science Foundation of China (Grant No. 19972070); "95" Project and 973 Project (Grant N
For solving complex flow field with multi-scale structure higher order accurate schemes are preferred. Among high order schemes the compact schemes have higher resolving efficiency. When the compact and upwind compact...
关键词：compact scheme high resolution of shock group velocity control 
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