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math.NA2024
Discretization of Total Variation in Optimization with Integrality Constraints
Annika Schiemann, Paul Manns
We introduce discretizations of infinite-dimensional optimization problems with total variation regularization and integrality constraints on the optimization variables. We advance…
math.NA2023
Finite Element Approximation of Data-Driven Problems in Conductivity
Christian Meyer, Annika Müller
This paper is concerned with the finite element discretization of the data driven approach according to arXiv:1510.04232 for the solution of PDEs with a material law arising from m…