摘要
Asymptotic error expansions in H^1-norm for the bilinear finite element approximation to a class of optimal control problems are derived for rectangular meshes. With the rectan- gular meshes, the Richardson extrapolation of two different schemes and an interpolation defect correction can be applied. The higher order numerical approximations are used to generate a posteriori error estimators for the finite element approximation.
Asymptotic error expansions in H^1-norm for the bilinear finite element approximation to a class of optimal control problems are derived for rectangular meshes. With the rectan- gular meshes, the Richardson extrapolation of two different schemes and an interpolation defect correction can be applied. The higher order numerical approximations are used to generate a posteriori error estimators for the finite element approximation.
基金
supported in part by the National Basic Research Program (2007CB814906)
the National Natural Science Foundation of China (10471103 and 10771158)
Social Science Foundation of the Ministry of Education of China (06JA630047)
Tianjin Natural Science Foundation (07JCYBJC14300)
Tianjin University of Finance and Economics
supported by the National Basic Research Program under the Grant 2005CB321701
the National Natural Science Foundation of China under the Grant 10771211
