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from Cubic To Linear complexity in computational electromagnetics

Publications

On the Fast Direct Solution of a Preconditioned Electromagnetic Integral Equation

Author(s): Davide Consoli, Clément Henry, Alexandre Dély, Lyes Rahmouni, John Erik Ortiz Guzman, Tiffany L. Chhim, Simon B. Adrian, Adrien Merlini, Francesco P. Andriulli
Published in: 2022 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2023
Publisher: IEEE
DOI: 10.1109/iceaa49419.2022.9899870

On a Fast Solution Strategy for a Surface-Wire Integral Formulation of the Anisotropic Forward Problem in Electroencephalography

Author(s): Carlo Baronio, Giulio Cosentino, Paolo Ricci, Clément Henry, Maxime Y. Monin, Adrien Merlini, Francesco P. Andriulli
Published in: 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), 2022
Publisher: IEEE
DOI: 10.1109/ap-s/usnc-ursi47032.2022.9886398

Calderón Preconditioners for the TD-EFIE discretized with Convolution Quadratures

Author(s): Pierrick Cordel, Alexandre Dély, Adrien Merlini, Francesco P. Andriulli
Published in: 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), 2022
Publisher: IEEE
DOI: 10.1109/ap-s/usnc-ursi47032.2022.9887361

Brain-Computer Interfaces: Investigating the Transition from Visually Evoked to Purely Imagined Steady-State Potentials

Author(s): Arturo Micheli, Davide Consoli, Adrien Merlini, Paolo Ricci, Francesco P. Andriulli
Published in: 2022 44th Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC), 2022
Publisher: IEEE
DOI: 10.1109/embc48229.2022.9870831

On a Frequency-Stabilized Single Current Inverse Source Formulation

Author(s): Paolo Ricci, Adrien Merlini, Francesco P. Andriulli
Published in: 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), 2022
Publisher: IEEE
DOI: 10.1109/ap-s/usnc-ursi47032.2022.9886299

On the Effectiveness of Quasi-Helmholtz Projectors in Preconditioning Problems with Junctions

Author(s): Johann Bourhis, Andrien Merlini, Francesco P. Andriulli
Published in: 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), 2022
Publisher: IEEE
DOI: 10.1109/ap-s/usnc-ursi47032.2022.9886184

Fast Direct Solvers for Integral Equations at Low-Frequency Based on Operator Filtering

Author(s): Clément Henry, Davide Consoli, Alexandre Dély, Lyes Rahmouni, Adrien Merlini, Francesco P. Andriulli
Published in: 2023 17th European Conference on Antennas and Propagation (EuCAP), 2023
Publisher: IEEE
DOI: 10.23919/eucap57121.2023.10133635

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

A Regularized Electric Flux Volume Integral Equation for Brain Imaging

Author(s): Clément Henry, Adrien Merlini, Lyes Rahmouni, Francesco P. Andriulli
Published in: 2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting, 2020
Publisher: IEEE
DOI: 10.1109/ieeeconf35879.2020.9330486

Laplacian Filters for Integral Equations: Further Developments and Fast Algorithms

Author(s): Adrien Merlini, Clément Henry, Davide Consoli, Lyes Rahmouni, Francesco P. Andriulli
Published in: 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), 2022
Publisher: IEEE
DOI: 10.1109/ap-s/usnc-ursi47032.2022.9886850

On a Constrained Pseudoinverse for the Electromagnetic Inverse Source Problem

Author(s): Ermanno Citraro, Alexandre Dély, Adrien Merlini, Francesco Paolo Andriulli
Published in: 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), 2022
Publisher: IEEE
DOI: 10.1109/ap-s/usnc-ursi47032.2022.9886331

A New Refinement-Free Preconditioner for the Symmetric Formulation in Electroencephalography

Author(s): Viviana Giunzioni, John E. Ortiz G., Adrien Merlini, Simon B. Adrian, Francesco P. Andriulli
Published in: 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/URSI), 2022
Publisher: IEEE
DOI: 10.1109/ap-s/usnc-ursi47032.2022.9887114

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

Stabilized Single Current Inverse Source Formulations Based on Steklov-Poincaré Mappings

Author(s): Paolo Ricci, Ermanno Citraro, Adrien Merlini, Francesco P. Andriulli
Published in: IEEE Transactions on Antennas and Propagation, 2023, ISSN 0018-926X
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tap.2023.3302748

On a Calderón preconditioner for the symmetric formulation of the electroencephalography forward problem without barycentric refinements

Author(s): Viviana Giunzioni, John E. Ortiz G., Adrien Merlini, Simon B. Adrian, Francesco P. Andriulli
Published in: Journal of Computational Physics, 2023, ISSN 0021-9991
Publisher: Academic Press
DOI: 10.1016/j.jcp.2023.112374

Laplacian Filtered Loop-Star Decompositions and Quasi-Helmholtz Filters: Definitions, Analysis, and Efficient Algorithms

Author(s): Adrien Merlini, Clément Henry, Davide Consoli, Lyes Rahmouni, Alexandre Dély, Francesco P. Andriulli
Published in: IEEE Transactions on Antennas and Propagation, 2023, ISSN 0018-926X
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tap.2023.3283043

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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue 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, Issue Volume 2, 2021, ISSN 2637-6431
Publisher: IEEE
DOI: 10.1109/ojap.2021.3121097

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