Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation
DOI10.3934/mcrf.2022013arXiv2106.14795OpenAlexW3175209729MaRDI QIDQ6099171
Publication date: 19 June 2023
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.14795
measuresoptimal controlfunctions of bounded variationsparsitymixed formulationvariational discretization
Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Functions of bounded variation, generalizations (26A45)
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