哈尔滨商业大学学报（自然科学版）
哈爾濱商業大學學報（自然科學版）
합이빈상업대학학보（자연과학판）
JOURNAL OF HARBIN UNIVERSITY OF COMMERCE(NATURAL SCIENCES EDITION)
2014年
6期
744-748
,共5页
椭圆型优化控制问题%有限差分法%多重网格方法
橢圓型優化控製問題%有限差分法%多重網格方法
타원형우화공제문제%유한차분법%다중망격방법
linear elliptic optimal control problem%finite difference method%multi -grid method
针对线性椭圆型优化控制问题，基于有限差分法的离散提出了集体平滑多重网格方法和多重网格最优化方法。将这两种方法进行拓展和对比，并由数值试验说明了集体平滑多重网格方法求解椭圆型优化控制问题的速度更快且更加稳定。
針對線性橢圓型優化控製問題，基于有限差分法的離散提齣瞭集體平滑多重網格方法和多重網格最優化方法。將這兩種方法進行拓展和對比，併由數值試驗說明瞭集體平滑多重網格方法求解橢圓型優化控製問題的速度更快且更加穩定。
침대선성타원형우화공제문제，기우유한차분법적리산제출료집체평활다중망격방법화다중망격최우화방법。장저량충방법진행탁전화대비，병유수치시험설명료집체평활다중망격방법구해타원형우화공제문제적속도경쾌차경가은정。
The collective smoothing multi-grid method and the multi-grid for optimization method were proposed for linear elliptic optimal control problem based on the finite difference method.The two methods for this problem were developed and compared.The numerical ex-periments results demonstrated that the collective smoothing multi-grid method for linear el-liptic optimal control problem was more efficient and more stable.
