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from Cubic To Linear complexity in computational electromagnetics

Publications

Eddy Current Modeling in Multiply Connected Regions via a Full-Wave Solver Based on the Quasi-Helmholtz Projectors

Author(s): Tiffany L. Chhim, Adrien Merlini, Lyes Rahmouni, John Erick Ortiz Guzman, Francesco P. Andriulli
Published in: IEEE Open Journal of Antennas and Propagation, 2020, Page(s) 534-548, ISSN 2637-6431
Publisher: IEEE
DOI: 10.1109/ojap.2020.3027186

On a Low-Frequency and Contrast Stabilized Full-Wave Volume Integral Equation Solver for Lossy Media

Author(s): Clément Henry, Adrien Merlini, Lyes Rahmouni, Francesco Andriulli
Published in: IEEE Transactions on Antennas and Propagation, 2022, ISSN 1558-2221
Publisher: IEEE
DOI: 10.1109/tap.2022.3161390

A Calderon regularized symmetric formulation for the electroencephalography forward problem

Author(s): John E. Ortiz G., Axelle Pillain, Lyes Rahmouni, Francesco P. Andriulli
Published in: Journal of Computational Physics, 375, 2018, Page(s) 291-306, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2018.07.048

Handling anisotropic conductivities in the EEG forward problem with a symmetric formulation

Author(s): Axelle Pillain, Lyes Rahmouni, Francesco Andriulli
Published in: Physics in Medicine & Biology, 64/3, 2019, Page(s) 035022, ISSN 1361-6560
Publisher: IOPscience
DOI: 10.1088/1361-6560/aafaaf

Conforming discretizations of boundary element solutions to the electroencephalography forward problem

Author(s): Lyes Rahmouni, Simon B. Adrian, Kristof Cools, Francesco P. Andriulli
Published in: Comptes Rendus Physique, 19/1-2, 2018, Page(s) 7-25, ISSN 1631-0705
Publisher: Elsevier Masson
DOI: 10.1016/j.crhy.2018.02.002

A Hybrid Volume-Surface-Wire Integral Equation for the Anisotropic Forward Problem in Electroencephalography

Author(s): Maxime Monin, Lyes Rahmouni, Adrien Merlini, Francesco P. Andriulli
Published in: IEEE Journal of Electromagnetics, RF and Microwaves in Medicine and Biology, 2020, Page(s) 1-1, ISSN 2469-7249
Publisher: IEEE
DOI: 10.1109/JERM.2020.2966121

On the modeling of brain fibers in the EEG forward problem via a new family of wire integral equations

Author(s): Lyes Rahmouni, Adrien Merlini, Axelle Pillain, Francesco P. Andriulli
Published in: Journal of Computational Physics: X, 5, 2020, Page(s) 100048, ISSN 2590-0552
Publisher: Elsevier
DOI: 10.1016/j.jcpx.2019.100048

Magnetic and Combined Field Integral Equations Based on the Quasi-Helmholtz Projectors

Author(s): Adrien Merlini, Yves Beghein, Kristof Cools, Eric Michielssen, Francesco P. Andriulli
Published in: IEEE Transactions on Antennas and Propagation, 2020, Page(s) 1-1, ISSN 0018-926X
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tap.2020.2964941

On a refinement-free Calderón multiplicative preconditioner for the electric field integral equation

Author(s): S.B. Adrian, F.P. Andriulli, T.F. Eibert
Published in: Journal of Computational Physics, 376, 2019, Page(s) 1232-1252, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2018.10.009

Large Time Step and DC Stable TD-EFIE Discretized With Implicit Runge–Kutta Methods

Author(s): Alexandre Dely, Francesco P. Andriulli, Kristof Cools
Published in: IEEE Transactions on Antennas and Propagation, 68/2, 2020, Page(s) 976-985, ISSN 0018-926X
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tap.2019.2943443

Electromagnetic Integral Equations: Insights in Conditioning and Preconditioning

Author(s): Simon B. Adrian, Alexandre Dély, Davide Consoli, Adrien Merlini, Francesco P. Andriulli
Published in: IEEE Open Journal of Antennas and Propagation, Volume 2, 2021, ISSN 2637-6431
Publisher: IEEE
DOI: 10.1109/ojap.2021.3121097

On Preconditioning Electromagnetic Integral Equations in the High Frequency Regime via Helmholtz Operators and quasi-Helmholtz Projectors

Author(s): Alexandre Dely, Adrien Merlini, Simon B. Adrian, Francesco P. Andriulli
Published in: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2019, Page(s) 1338-1341, ISBN 978-1-7281-0563-5
Publisher: IEEE
DOI: 10.1109/iceaa.2019.8879366

On the Spectral Behavior and Normalization of a Resonance-Free and High-Frequency Stable Integral Equation

Author(s): Tiffany L. Chhim, Simon B. Adrian, Francesco P.A Driulli
Published in: 2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2018, Page(s) 2447-2448, ISBN 978-1-5386-7102-3
Publisher: IEEE
DOI: 10.1109/apusncursinrsm.2018.8608769

A Quasi-Helmholtz Projector Stabilized Full Wave Solver Encompassing the Eddy Current Regime

Author(s): Tiffany L. Chhim, John E. Ortiz, Lyes Rahmouni, Adrien Merlini, Francesco P. Andriulli
Published in: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2019, Page(s) 1236-1238, ISBN 978-1-7281-0563-5
Publisher: IEEE
DOI: 10.1109/iceaa.2019.8879217

A New Preconditioner for the EFIE Based on Primal and Dual Graph Laplacian Spectral Filters

Author(s): Lyes Rahmouni, Francesco P. Andriulli
Published in: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2019, Page(s) 1342-1344, ISBN 978-1-7281-0563-5
Publisher: IEEE
DOI: 10.1109/iceaa.2019.8879168

Diffusion MRI Consistent Wire Models for Efficient Solutions of the Anisotropic Forward Problem in Electroencephalography

Author(s): Maxime Y. Monin, Lyes Rahmouni, Francesco P. Andriulli
Published in: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2019, Page(s) 1251-1254, ISBN 978-1-7281-0563-5
Publisher: IEEE
DOI: 10.1109/iceaa.2019.8879228

A Hybrid Integral Equation Approach to Solve the Anisotropic Forward Problem in Electroencephalography

Author(s): Maxime Y. Monin, Lyes Rahmouni, Francesco P. Andriulli
Published in: 2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2018, Page(s) 2395-2396, ISBN 978-1-5386-7102-3
Publisher: IEEE
DOI: 10.1109/apusncursinrsm.2018.8608390