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ORCIDBjørn Fredrik Nielsen
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2020 – today
- 2024
[j17]Bjørn Fredrik Nielsen, Zdenek Strakos:
A Simple Formula for the Generalized Spectrum of Second Order Self-Adjoint Differential Operators. SIAM Rev. 66(1): 125-146 (2024)- [i4]Ole Løseth Elvetun, Kim Knudsen, Bjørn Fredrik Nielsen:
Fictitious null spaces for improving the solution of injective inverse problems. CoRR abs/2408.17074 (2024) - 2022
- [j16]Tomás Gergelits, Bjørn Fredrik Nielsen, Zdenek Strakos
:
Numerical approximation of the spectrum of self-adjoint operators in operator preconditioning. Numer. Algorithms 91(1): 301-325 (2022) - [i3]Ole Løseth Elvetun, Bjørn Fredrik Nielsen:
Box constraints and weighted sparsity regularization for identifying sources in elliptic PDEs. CoRR abs/2206.06069 (2022) - 2021
- [i2]Tomás Gergelits, Bjørn Fredrik Nielsen, Zdenek Strakos:
Numerical approximation of the spectrum of self-adjoint continuously invertible operators. CoRR abs/2103.00849 (2021) - 2020
- [j15]Tomás Gergelits, Bjørn Fredrik Nielsen, Zdenek Strakos:
Generalized Spectrum of Second Order Differential Operators. SIAM J. Numer. Anal. 58(4): 2193-2211 (2020) - [i1]Ole Løseth Elvetun, Bjørn Fredrik Nielsen:
Sparsity regularization for inverse problems with nullspaces. CoRR abs/2012.11280 (2020)
2010 – 2019
- 2019
- [j14]Tomás Gergelits, Kent-André Mardal, Bjørn Fredrik Nielsen, Zdenek Strakos:
Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator. SIAM J. Numer. Anal. 57(3): 1369-1394 (2019) - 2016
- [j13]Ole Løseth Elvetun, Bjørn Fredrik Nielsen:
The split Bregman algorithm applied to PDE-constrained optimization problems with total variation regularization. Comput. Optim. Appl. 64(3): 699-724 (2016) - [j12]Ole Løseth Elvetun, Bjørn Fredrik Nielsen:
PDE-Constrained Optimization with Local Control and Boundary Observations: Robust Preconditioners. SIAM J. Sci. Comput. 38(6) (2016) - 2014
- [c3]Marius Lysaker, Bjørn Fredrik Nielsen, Samuel T. Wall:
Bidomain Simulations of Subendocardial Ischemia: The Forward and Inverse Problems. CinC 2014: 1149-1152 - 2013
- [j11]Bjørn Fredrik Nielsen, Kent-André Mardal:
Analysis of the Minimal Residual Method Applied to Ill Posed Optimality Systems. SIAM J. Sci. Comput. 35(2) (2013) - [j10]Bjørn Fredrik Nielsen, Ola Marius Lysaker, Per Grottum:
Computing Ischemic Regions in the Heart With the Bidomain Model - First Steps Towards Validation. IEEE Trans. Medical Imaging 32(6): 1085-1096 (2013) - [c2]Ola Marius Lysaker, Bjørn Fredrik Nielsen, Samuel T. Wall:
Computing Ischemic Regions in the Heart: On the Use of Internal Electrodes. CinC 2013: 675-678 - [c1]Glenn T. Lines, Marius Lysaker, Bjørn Fredrik Nielsen:
Observability of Ischemia and the Need for Patient Specific Geometrical Models in Inverse ECG. CinC 2013: 679-682 - 2010
- [j9]Bjørn Fredrik Nielsen, Kent-André Mardal:
Efficient Preconditioners for Optimality Systems Arising in Connection with Inverse Problems. SIAM J. Control. Optim. 48(8): 5143-5177 (2010) - [p1]Bjørn Fredrik Nielsen, Marius Lysaker, Per Grøttum, Kent-André Mardal, Aslak Tveito, Christian Tarrou, Kristina Hermann Haugaa, Andreas Abildgaard, Jan Gunnar Fjeld:
Can ECG Recordings and Mathematics tell the Condition of Your Heart? Simula Research Laboratory 2010: 287-319
2000 – 2009
- 2009
- [j8]Tomas Syrstad Ruud, Bjørn Fredrik Nielsen, Ola Marius Lysaker, Joakim Sundnes:
A Computationally Efficient Method for Determining the Size and Location of Myocardial Ischemia. IEEE Trans. Biomed. Eng. 56(2): 263-272 (2009) - 2007
- [j7]Bjørn Fredrik Nielsen, Tomas Syrstad Ruud, Glenn Terje Lines, Aslak Tveito:
Optimal monodomain approximations of the bidomain equations. Appl. Math. Comput. 184(2): 276-290 (2007) - [j6]Bjørn Fredrik Nielsen, Marius Lysaker, Aslak Tveito:
On the use of the resting potential and level set methods for identifying ischemic heart disease: An inverse problem. J. Comput. Phys. 220(2): 772-790 (2007) - [j5]Kent-André Mardal, Bjørn Fredrik Nielsen, Xing Cai, Aslak Tveito:
An order optimal solver for the discretized bidomain equations. Numer. Linear Algebra Appl. 14(2): 83-98 (2007) - [j4]Xing Cai, Bjørn Fredrik Nielsen, Aslak Tveito:
A note on the efficiency of the conjugate gradient method for a class of time-dependent problems. Numer. Linear Algebra Appl. 14(5): 459-467 (2007) - 2006
- [j3]Mary C. MacLachlan, Bjørn Fredrik Nielsen, Ola Marius Lysaker, Aslak Tveito:
Computing the size and location of myocardial ischemia using measurements of ST-segment shift. IEEE Trans. Biomed. Eng. 53(6): 1024-1031 (2006)
1990 – 1999
- 1997
- [j2]Aslak Tveito, Bjørn Fredrik Nielsen:
On the Approximation of the Solution of the Pressure Equation by Changing the Domain. SIAM J. Appl. Math. 57(1): 15-33 (1997) - 1996
- [j1]Are Magnus Bruaset, Bjørn Fredrik Nielsen:
On the Stability of Pressure and Velocity Computations for Heterogeneous Reservoirs. SIAM J. Appl. Math. 56(4): 994-1007 (1996)
Coauthor Index
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