摘要
本文讨论了Hilbert空间的一个约束极值问题的加罚解,证明了收敛定理并给出了误差估计,叙述了加罚解的若干性质并提出了一个“外推”算法。这些结果被用于薄板弯曲问题、证明了Ortiz和Morris新近提出一个板问题解法的收敛性。
The paper discusses the penalty method of a constrained extreme problem in Hilbcrt space. The convergence theorem is proved and error estimate is given. We also describe some interesting properties of the penalized solution and construct a extrapolated method. Finally, the abstract results arc used to the thin plate bending problem and give the convergence theorems of a rnehtod proposed by M. ortiz and G.R.Morris.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
1991年第1期5-14,共10页
Journal of Northwest University（Natural Science Edition）
关键词
约束极值问题
加罚解法
误差估计
Constrained extreme prolblem
Penalty method
Convergence
Error estimate
