Book Chapters

[1]
A. Dély, A. Merlini, K. Cools, and F. P. Andriulli, “Convolution Quadrature Time Domain Integral Equation Methods for Electromagnetic Scattering,” in Advances in Time‐Domain Computational Electromagnetic Methods, Q. Ren, S. Yan, and A. Z. Elsherbeni, Eds., 1st ed.Wiley, 2022, pp. 321–359. doi: 10.1002/9781119808404.ch8.
[2]
A. Merlini, S. B. Adrian, A. Dély, and F. P. Andriulli, “Calderón Preconditioners for Electromagnetic Integral Equations,” in Integral Equations solution methods to analyse real-life multi-scale electromagnetic problems, IET, 2023.
[3]
A. Merlini, A. Dély, K. Cools, and F. P. Andriulli, “Electromagnetic modelling at arbitrarily low frequency via the quasi-Helmholtz projectors,” in Advances in Mathematical Methods for Electromagnetics, K. Kobayashi and P. D. Smith, Eds., Institution of Engineering and Technology, 2020, pp. 381–415. doi: 10.1049/SBEW528E_ch16.

Journal Publications

[1]
S. B. Adrian, A. Dely, D. Consoli, A. Merlini, and F. P. Andriulli, “Electromagnetic Integral Equations: Insights in Conditioning and Preconditioning,” IEEE Open J. Antennas Propag., vol. 2, pp. 1143–1174, 2021, doi: 10.1109/OJAP.2021.3121097.
[2]
T. L. Chhim, A. Merlini, L. Rahmouni, J. E. O. Guzman, and F. P. Andriulli, “Eddy Current Modeling in Multiply Connected Regions via a Full-Wave Solver Based on the Quasi-Helmholtz Projectors,” IEEE Open J. Antennas Propag., vol. 1, pp. 534–548, 2020, doi: 10.1109/OJAP.2020.3027186.
[3]
V. Giunzioni, J. E. Ortiz G., A. Merlini, S. B. Adrian, and F. P. Andriulli, “On a Calderón preconditioner for the symmetric formulation of the electroencephalography forward problem without barycentric refinements,” Journal of Computational Physics, vol. 491, p. 112374, Oct. 2023, doi: 10.1016/j.jcp.2023.112374.
[4]
S. Guelton, P. Brunet, M. Amini, A. Merlini, X. Corbillon, and A. Raynaud, “Pythran: enabling static optimization of scientific Python programs,” Computational Science & Discovery, vol. 8, no. 1, p. 014001, Mar. 2015, doi: 10.1088/1749-4680/8/1/014001.
[5]
C. Henry, A. Merlini, L. Rahmouni, and F. P. Andriulli, “On a Low-Frequency and Contrast Stabilized Full-Wave Volume Integral Equation Solver for Lossy Media,” IEEE Trans. Antennas Propagat., pp. 1–1, 2022, doi: 10.1109/TAP.2022.3161390.
[6]
J. T. Lindgren, A. Merlini, A. Lecuyer, and F. P. Andriulli, “simBCI - A Framework for Studying BCI Methods by Simulated EEG,” IEEE Transactions on Neural Systems and Rehabilitation Engineering, vol. 26, no. 11, pp. 2096–2105, Nov. 2018, doi: 10.1109/TNSRE.2018.2873061.
[7]
A. Merlini, Y. Beghein, K. Cools, E. Michielssen, and F. P. Andriulli, “Magnetic and Combined Field Integral Equations Based on the Quasi-Helmholtz Projectors,” IEEE Trans. Antennas Propagat., pp. 1–1, 2020, doi: 10.1109/TAP.2020.2964941.
[8]
A. Merlini, C. Henry, D. Consoli, L. Rahmouni, A. Dély, and F. P. Andriulli, “Laplacian Filtered Loop-Star Decompositions and Quasi-Helmholtz Filters: Definitions, Analysis, and Efficient Algorithms,” IEEE Trans. Antennas Propagat., pp. 1–1, 2023, doi: 10.1109/TAP.2023.3283043.
[9]
M. Monin, L. Rahmouni, A. Merlini, and F. P. Andriulli, “A Hybrid Volume-Surface-Wire Integral Equation for the Anisotropic Forward Problem in Electroencephalography,” IEEE J. Electromagn. RF Microw. Med. Biol., pp. 1–1, 2020, doi: 10.1109/JERM.2020.2966121.
[10]
L. Rahmouni, A. Merlini, A. Pillain, and F. P. Andriulli, “On the modeling of brain fibers in the EEG forward problem via a new family of wire integral equations,” Journal of Computational Physics: X, vol. 5, p. 100048, Jan. 2020, doi: 10.1016/j.jcpx.2019.100048.
[11]
P. Ricci, E. Citraro, A. Merlini, and F. P. Andriulli, “Stabilized Single Current Inverse Source Formulations Based on Steklov-Poincaré Mappings,” IEEE Transactions on Antennas and Propagation, pp. 1–1, 2023, doi: 10.1109/TAP.2023.3302748.

Conference Contributions

[1]
C. Baronio et al., “On a Fast Solution Strategy for a Surface-Wire Integral Formulation of the Anisotropic Forward Problem in Electroencephalography,” in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA: IEEE, Jul. 2022, pp. 1–2. doi: 10.1109/AP-S/USNC-URSI47032.2022.9886398.
[2]
J. Bourhis, A. Merlini, and F. P. Andriulli, “On the Effectiveness of Quasi-Helmholtz Projectors in Preconditioning Problems with Junctions,” in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA: IEEE, Jul. 2022, pp. 1944–1945. doi: 10.1109/AP-S/USNC-URSI47032.2022.9886184.
[3]
T. L. Chhim, J. E. Ortiz, L. Rahmouni, A. Merlini, and F. P. Andriulli, “A Quasi-Helmholtz Projector Stabilized Full Wave Solver Encompassing the Eddy Current Regime,” in 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), Granada, Spain: IEEE, Sep. 2019, pp. 1236–1238. doi: 10.1109/ICEAA.2019.8879217.
[4]
E. Citraro, A. Dely, A. Merlini, and F. P. Andriulli, “On a Constrained Pseudoinverse for the Electromagnetic Inverse Source Problem,” in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA: IEEE, Jul. 2022, pp. 1942–1943. doi: 10.1109/AP-S/USNC-URSI47032.2022.9886331.
[5]
D. Consoli et al., “On the Fast Direct Solution of a Preconditioned Electromagnetic Integral Equation,” in 2022 International Conference on Electromagnetics in Advanced Applications (ICEAA), Cape Town, South Africa: IEEE, Sep. 2022, pp. 193–195. doi: 10.1109/ICEAA49419.2022.9899870.
[6]
D. Consoli, A. Merlini, and F. P. Andriulli, “A Fast Quasi-Conformal Mapping Preconditioner for Electromagnetic Integral Equations,” in 2021 International Conference on Electromagnetics in Advanced Applications (ICEAA), Honolulu, HI, USA: IEEE, Aug. 2021, pp. 412–412. doi: 10.1109/ICEAA52647.2021.9539728.
[7]
D. Consoli et al., “Recent Advances in Computational Electromagnetics for High Resolution Neuroimaging,” presented at the 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/USNC-URSI), Denver, CO, USA, Jul. 2022.
[8]
P. Cordel, A. Dely, A. Merlini, and F. P. Andriulli, “Calderón Preconditioners for the TD-EFIE discretized with Convolution Quadratures,” in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA: IEEE, Jul. 2022, pp. 1672–1673. doi: 10.1109/AP-S/USNC-URSI47032.2022.9887361.
[9]
A. Dély, A. Merlini, S. B. Adrian, and F. P. Andriulli, “On Preconditioning Electromagnetic Integral Equations in the High Frequency Regime via Helmholtz Operators and quasi-Helmholtz Projectors,” in 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), Sep. 2019, pp. 1338–1341. doi: 10.1109/ICEAA.2019.8879366.
[10]
V. Giunzioni, J. E. Ortiz G., A. Merlini, S. B. Adrian, and F. P. Andriulli, “A New Refinement-Free Preconditioner for the Symmetric Formulation in Electroencephalography,” in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA: IEEE, Jul. 2022, pp. 513–514. doi: 10.1109/AP-S/USNC-URSI47032.2022.9887114.
[11]
C. Henry, A. Merlini, L. Rahmouni, and F. P. Andriulli, “A Regularized Electric Flux Volume Integral Equation for Brain Imaging,” in 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, Jul. 2020, pp. 1025–1026. doi: 10.1109/IEEECONF35879.2020.9330486.
[12]
C. Henry, D. Consoli, A. Dély, L. Rahmouni, A. Merlini, and F. P. Andriulli, “Fast Direct Solvers Based on the Quasi-Helmholtz Laplacian Filters,” presented at the 2022 IEEE Conference on Antenna Measurements and Applications (CAMA 2022), Guangzhou, China, Nov. 2022.
[13]
C. Henry, D. Consoli, A. Dély, L. Rahmouni, A. Merlini, and F. P. Andriulli, “Fast Direct Solvers for Integral Equations at Low-Frequency Based on Operator Filtering,” in 2023 17th European Conference on Antennas and Propagation (EuCAP), Florence, Italy: IEEE, Mar. 2023, pp. 1–4. doi: 10.23919/EuCAP57121.2023.10133635.
[14]
C. Henry, A. Merlini, and F. P. Andriulli, “On the Oblique Generalization of the Quasi-Helmholtz Projectors for a Low-Frequency and Contrast Stable Electric Flux Volume Integral Equation,” presented at the 2021 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/USNC-URSI), Marina Bay Sands, Singapore, Dec. 2021.
[15]
C. Henry, A. Merlini, and F. P. Andriulli, “Oblique Quasi-Helmholtz Projectors for Electric Flux Volume Integral Equations: Differential Forms and Conditioning Analysis,” presented at the 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/USNC-URSI), Denver, CO, USA, Jul. 2022.
[16]
C. Henry, A. Merlini, and Andriulli, Francesco P., “On the Solution of the Brain-to-Skull Contrast Breakdown with a New Integral Scheme: Mathematical Framework and Medical Application Scenarios,” presented at the 2021 XXXIVth General Assembly and Scientific Symposium of the International Union of Radio Science (URSI GASS), Rome, Italy, Aug. 2021.
[17]
A. Merlini, A. Dély, S. B. Adrian, and F. P. Andriulli, “On the use of Quasi-Helmholtz Projectors for the High Frequency Preconditioning of the Electric Field Integral Equation,” presented at the URSI GASS 2020, Rome, Italy, Aug. 2020.
[18]
A. Merlini, C. Henry, D. Consoli, L. Rahmouni, and F. P. Andriulli, “Laplacian Filters for Integral Equations: Further Developments and Fast Algorithms,” in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA: IEEE, Jul. 2022, pp. 1932–1933. doi: 10.1109/AP-S/USNC-URSI47032.2022.9886850.
[19]
A. Merlini, A. Pillain, K. Cools, and F. P. Andriulli, “On the low-frequency and refinement regularization of the reduced kernel wire EFIE,” in 2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, San Diego, CA, USA: IEEE, Jul. 2017, pp. 725–726. doi: 10.1109/APUSNCURSINRSM.2017.8072405.
[20]
A. Micheli, D. Consoli, A. Merlini, P. Ricci, and F. P. Andriulli, “Brain-Computer Interfaces: Investigating the Transition from Visually Evoked to Purely Imagined Steady-State Potentials,” in 2022 44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC), Glasgow, Scotland, United Kingdom: IEEE, Jul. 2022, pp. 222–225. doi: 10.1109/EMBC48229.2022.9870831.
[21]
L. Rahmouni, A. Pillain, A. Merlini, and F. P. Andriulli, “Integral equation modelling of brain fibers for handling white matter anisotropies in the EEG forward problem,” in 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA), Verona, Italy: IEEE, Sep. 2017, pp. 1809–1812. doi: 10.1109/ICEAA.2017.8065650.
[22]
P. Ricci, A. Merlini, and F. P. Andriulli, “On a Frequency-Stabilized Single Current Inverse Source Formulation,” in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), Denver, CO, USA: IEEE, Jul. 2022, pp. 1146–1147. doi: 10.1109/AP-S/USNC-URSI47032.2022.9886299.
[23]
D. Consoli, A. Merlini, and F. P. Andriulli, “On the Use of Machine Learning Strategies in Preconditioning Electromagnetic Integral Equations,” presented at the 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Atlanta, Georgia, Jul. 10, 2019.
[24]
A. Dély, A. Merlini, S. B. Adrian, and F. P. Andriulli, “On a Refinement-Free Strategy for Preconditioning Electromagnetic Integral Equations in the High Frequency Regime,” presented at the 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Atlanta, Georgia, Jul. 10, 2019.
[25]
E. Libessart, A. Merlini, M. Arzel, C. Lahuec, and F. P. Andriulli, “Accélération matérielle pour l’imagerie cérébrale par EEG,” Jun. 2017.
[26]
C. Henry, A. Merlini, L. Rahmouni, and F. P. Andriulli, “On the Use of a Full-Wave Solver in the Solution of the Electroencephalography Forward Problem,” presented at the 2019 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Atlanta, Georgia, Jul. 08, 2019.
[27]
J. T. Lindgren, A. Merlini, A. Lecuyer, and F. P. Andriulli, “SimBCI - Tool to simulate EEG and BCI,” presented at the Seventh International BCI Meeting “BCIs: Not Getting Lost in Translation,” Pacific Grove, California, May 2018.
[28]
A. Merlini, A. Pillain, K. Cools, and F. P. Andriulli, “On a Low-Frequency and Refinement Stable Exact Kernel Wire-EFIE Formulation,” presented at the 2018 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, Boston, Massachusetts, Jul. 13, 2018.
[29]
A. Merlini, L. Rahmouni, M. Monin, and F. P. Andriulli, “Imagerie Cérébrale Haute Résolution Basée sur des Solveurs Électromagnétiques Hétérogènes pour des Systèmes de Navigation Intracrânienne en Temps Réel,” presented at the URSI France 2019, Approcher les deux infinis par les ondes électromagnétiques, Observatoire de Versailles Saint-Quentin-en-Yvelines, Mar. 27, 2019.