A novel approach for solving a class of diffusion identification problems
<p>A novel approach to the formulation and solution of a class of elliptic diffusion identification problems in the framework of the Pontryagin maximum principle (PMP) is investigated. The proposed approach considers twice continuously differentiable diffusion coefficients defined as the convo...
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2025
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| Summary: | <p>A novel approach to the formulation and solution of a class of elliptic diffusion identification problems in the framework of the Pontryagin maximum principle (PMP) is investigated. The proposed approach considers twice continuously differentiable diffusion coefficients defined as the convolution with a square-integrable optimization function, which allows to prove the PMP by spike variation and to construct and analyze an efficient PMP-based iterative algorithm that efficiently solves diffusion identification problems approximated by finite elements.</p> |
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