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math.OC2022
Identifying the source term in the potential equation with weighted sparsity regularization
Ole Løseth Elvetun, Bjørn Fredrik Nielsen
We explore the possibility for using boundary measurements to recover a sparse source term f(x) in the potential equation. Employing weighted sparsity regularization and standard r…
math.NA2022
Box constraints and weighted sparsity regularization for identifying sources in elliptic PDEs
Ole Løseth Elvetun, Bjørn Fredrik Nielsen
We explore the possibility for using boundary data to identify sources in elliptic PDEs. Even though the associated forward operator has a large null space, it turns out that box c…