随机椭圆偏微分方程约束下最优控制问题的h × p有限元方法

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2015-12-25 DOI:10.12941/JKSIAM.2015.19.387

Hyung-C. Lee, Jangwoon Lee

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引用次数: 0

摘要

本文分析了随机输入椭圆型偏微分方程约束下最优控制问题的p型有限元法。主要结果是，随机偏微分方程控制问题的hp误差界导致相应的直接问题相对于p的指数收敛率。数值算例验证了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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THE h × p FINITE ELEMENT METHOD FOR OPTIMAL CONTROL PROBLEMS CONSTRAINED BY STOCHASTIC ELLIPTIC PDES

This paper analyzes the h p version of the finite element method for optimal control problems constrained by elliptic partial differential equations with random inputs. The main result is that the h p error bound for the control problems subject to stochastic partial differential equations leads to an exponential rate of convergence with respect to p as for the corresponding direct problems. Numerical examples are used to confirm the theoretical results.

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来源期刊

Journal of the Korean Society for Industrial and Applied Mathematics MATHEMATICS, APPLIED-

自引率

33.30%

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