具有点向控制约束的椭圆型Neumann边界控制问题的有限元误差分析

IF 1.4 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2025-02-01 DOI:10.1016/j.rinam.2025.100544

Susanne C. Brenner, Li-Yeng Sung

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引用次数: 0

摘要

针对一类具有Neumann边界控制和点向控制约束的线性二次椭圆型最优控制问题，提出了一种新的有限元误差分析方法。当椭圆算子中的系数为光滑时，该方法可以应用于标准有限元方法；当系数为粗糙时，该方法也可以应用于多尺度有限元方法。

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A new error analysis for finite element methods for elliptic Neumann boundary control problems with pointwise control constraints

We present a new error analysis for finite element methods for a linear-quadratic elliptic optimal control problem with Neumann boundary control and pointwise control constraints. It can be applied to standard finite element methods when the coefficients in the elliptic operator are smooth and also to multiscale finite element methods when the coefficients are rough.

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来源期刊

Results in Applied Mathematics Mathematics-Applied Mathematics

CiteScore

3.20

自引率

10.00%

发文量

审稿时长

23 days