The split Bregman algorithm applied to PDE-constrained optimization problems with total variation regularization. - Ole Løseth Elvetun; Bjørn Fredrik Nielsen (Comput. Optim. Appl., 2016)

PDE-Constrained Optimization with Local Control and Boundary Observations: Robust Preconditioners. - Ole Løseth Elvetun; Bjørn Fredrik Nielsen (SIAM J. Sci. Comput., 2016)

Analysis of the Diffuse Domain Method for Second Order Elliptic Boundary Value Problems. - Martin Burger 001; Ole Løseth Elvetun; Matthias Schlottbom (Found. Comput. Math., 2017)

Sparsity regularization for inverse problems with nullspaces. - Ole Løseth Elvetun; Bjørn Fredrik Nielsen (CoRR, 2020)

Box constraints and weighted sparsity regularization for identifying sources in elliptic PDEs. - Ole Løseth Elvetun; Bjørn Fredrik Nielsen (CoRR, 2022)

Fictitious null spaces for improving the solution of injective inverse problems. - Ole Løseth Elvetun; Kim Knudsen; Bjørn Fredrik Nielsen (CoRR, 2024)

Weighted sparsity regularization for solving the inverse EEG problem: A case study. - Ole Løseth Elvetun; Niranjana Sudheer (Biomed. Signal Process. Control., 2025)

Weighting operators for sparsity regularization. - Ole Løseth Elvetun; Bjørn Fredrik Nielsen; Niranjana Sudheer (CoRR, 2025)