{"ID":2847545,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2510.27336","arxiv_id":"2510.27336","title":"Numerical solution of elliptic distributed optimal control problems with boundary value tracking","abstract":"We consider some boundary value tracking optimal control problem constrained by a Neumann boundary value problem for some elliptic partial differential equation where the control acts as right-hand side. This optimal control problem can be reformulated asa state-based variational problem that is the starting point for the finite element discretizion. In this paper, we only consider atensor-product finite element discretizion for which optimal discretization error estimates and fast solvers can be derived.Numerical experiments illustrate the theoretical results quantitatively.","short_abstract":"We consider some boundary value tracking optimal control problem constrained by a Neumann boundary value problem for some elliptic partial differential equation where the control acts as right-hand side. This optimal control problem can be reformulated asa state-based variational problem that is the starting point for...","url_abs":"https://arxiv.org/abs/2510.27336","url_pdf":"https://arxiv.org/pdf/2510.27336v2","authors":"[\"Ulrich Langer\",\"Richard Löscher\",\"Olaf Steinbach\",\"Huidong Yang\"]","published":"2025-10-31T10:09:42Z","proceeding":"math.NA","tasks":"[\"math.NA\",\"math.OC\"]","methods":"[]","has_code":false}