2020
DOI: 10.1051/cocv/2019034
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Abstract: We study the minimisation of a cost functional which measures the misfit on the boundary of a domain between a component of the solution to a certain parametric elliptic PDE system and a prediction of the values of this solution. We pose this problem as a PDE-constrained minimisation problem for a supremal cost functional in L ∞ , where except for the PDE constraint there is also a unilateral constraint on the parameter. We utilise approximation by PDE-constrained minimisation problems in L p as p → ∞ and the … Show more

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Cited by 3 publications
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References 48 publications
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