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arXiv · 1601.00012

Numerical analysis of a family of optimal distributed control problems governed by an elliptic variational inequality

Mariela C. Olguin·Domingo A. Tarzia
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Abstract

The numerical analysis of a family of distributed mixed optimal control problems governed by elliptic variational inequalities (with parameter $\alpha >0$) is obtained through the finite element method when its parameter $h\rightarrow 0$. We also obtain the limit of the discrete optimal control and the associated state system solutions when $\alpha\rightarrow \infty$ (for each $h>0$) and a commutative diagram for two continuous and two discrete optimal control and its associated state system solutions is obtained when $h\rightarrow 0$ and $\alpha\rightarrow \infty$. Moreover, the double convergence is also obtained when $(h, \alpha)\rightarrow(0, \infty)$.

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Mariela C. Olguin, Domingo A. Tarzia. 2015-12-31. Numerical analysis of a family of optimal distributed control problems governed by an elliptic variational inequality. https://arxiv.org/abs/1601.00012

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