Victorita Dolean

68 papers Journal 63Unranked 1

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Are Deep Learning Based Hybrid PDE Solvers Reliable? Why Training Paradigms and Update Strategies Matter. CoRR Yuhan Wu, Jan Willem van Beek, Victorita Dolean, Alexander Heinlein
2026	J	`jnl`	Can symmetric positive definite (SPD) coarse spaces perform well for indefinite Helmholtz problems? J. Comput. Appl. Math. Victorita Dolean, Mark Fry, Matthias Langer
2025	J	`jnl`	A Robust and Adaptive GenEO-Type Domain Decomposition Preconditioner for bfH(bfcurl) Problems in Three-Dimensional General Topologies. J. Sci. Comput. Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
2025	J	`jnl`	Achieving wavenumber robustness in domain decomposition for heterogeneous Helmholtz equation: an overview of spectral coarse spaces. CoRR Victorita Dolean, Mark Fry, Matthias Langer, Emile Parolin, Pierre-Henri Tournier
2025	J	`jnl`	An Iterative Block Matrix Inversion (IBMI) Algorithm for Symmetric Positive Definite Matrices with Applications to Covariance Matrices. CoRR Ann Paterson, Jennifer Pestana, Victorita Dolean
2025	J	`jnl`	Convergence analysis of GMRES applied to Helmholtz problems near resonances. CoRR Victorita Dolean, Pierre Marchand, Axel Modave, Timothée Raynaud
2025	J	`jnl`	Local feature filtering for scalable and well-conditioned Random Feature Methods. CoRR Jan Willem van Beek, Victorita Dolean, Ben Moseley
2025	J	`jnl`	Modal analysis of a domain decomposition method for Maxwell's equations in a waveguide. CoRR Victorita Dolean, Antoine Tonnoir, Pierre-Henri Tournier
2025	J	`jnl`	Neural network-driven domain decomposition for efficient solutions to the Helmholtz equation. CoRR Victorita Dolean, Daria Hrebenshchykova, Stéphane Lanteri, Victor Michel-Dansac
2025	J	`jnl`	Preconditioning of GMRES for Helmholtz problems with quasimodes. CoRR Victorita Dolean, Pierre Marchand, Axel Modave, Timothée Raynaud
2024	J	`jnl`	ELM-FBPINN: efficient finite-basis physics-informed neural networks. CoRR Samuel Anderson, Victorita Dolean, Ben Moseley, Jennifer Pestana
2024	J	`jnl`	Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. Numerische Mathematik Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau
2024	J	`jnl`	Improvements to the theoretical estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem. CoRR Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer
2024	J	`jnl`	Schwarz preconditioner with H CoRR Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer
2024	J	`jnl`	Two-level Nonlinear Preconditioning Methods for Flood Models Posed on Perforated Domains. CoRR Miranda Boutilier, Konstantin Brenner, Victorita Dolean
2024	J	`jnl`	Two-level deep domain decomposition method. CoRR Victorita Dolean, Serge Gratton, Alexander Heinlein, Valentin Mercier
2023	J	`jnl`	A robust and adaptive GenEO-type domain decomposition preconditioner for H(curl) problems in general non-convex three-dimensional geometries. CoRR Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
2023	J	`jnl`	Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains. SIAM J. Sci. Comput. Victorita Dolean, Martin J. Gander, Alexandros Kyriakis
2023	J	`jnl`	Multilevel Scalable Solvers for Stochastic Linear and Nonlinear Problems. CoRR Sudhi Sharma, Pierre Jolivet, Victorita Dolean, Abhijit Sarkar
2023	J	`jnl`	Multilevel domain decomposition-based architectures for physics-informed neural networks. CoRR Victorita Dolean, Alexander Heinlein, Siddhartha Mishra, Ben Moseley
2023	J	`jnl`	Numerical Modeling for Shoulder Injury Detection Using Microwave Imaging. CoRR Sahar Borzooei, Pierre-Henri Tournier, Victorita Dolean, Christian Pichot, Nadine Joachimowicz, Hélène Roussel, Claire Migliaccio
2023	J	`jnl`	Robust Methods for Multiscale Coarse Approximations of Diffusion Models in Perforated Domains. CoRR Miranda Boutilier, Konstantin Brenner, Victorita Dolean
2023	J	`jnl`	Travel times and ray paths for acoustic and elastic waves in generally anisotropic media. J. Comput. Phys. James Ludlam, Katherine Tant, Victorita Dolean, Andrew Curtis
2022	J	`jnl`	A Trefftz-like coarse space for the two-level Schwarz method on perforated domains. CoRR Miranda Boutilier, Konstantin Brenner, Victorita Dolean
2022	J	`jnl`	Are spectral coarse spaces sufficiently robust for heterogeneous Helmholtz problems? CoRR Niall Bootland, Victorita Dolean
2022	J	`jnl`	Closed form optimized transmission conditions for complex diffusion with many subdomains. CoRR Victorita Dolean, Martin J. Gander, Alexandros Kyriakis
2022	J	`jnl`	Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. CoRR Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau
2022	J	`jnl`	Finite basis physics-informed neural networks as a Schwarz domain decomposition method. CoRR Victorita Dolean, Alexander Heinlein, Siddhartha Mishra, Ben Moseley
2022	J	`jnl`	Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation. CoRR Niall Bootland, Sahar Borzooei, Victorita Dolean, Pierre-Henri Tournier
2022	J	`jnl`	Scalable Computational Algorithms for Geo-spatial Covid-19 Spread in High Performance Computing. CoRR Sudhi P. V., Victorita Dolean, Pierre Jolivet, Brandon Robinson, Jodi D. Edwards, Tetyana Kendzerska, Abhijit Sarkar
2022	J	`jnl`	Solution of time-harmonic Maxwell's equations by a domain decomposition method based on PML transmission conditions. CoRR Sahar Borzooei, Victorita Dolean, Pierre-Henri Tournier, Claire Migliaccio
2021	J	`jnl`	A comparison of coarse spaces for Helmholtz problems in the high frequency regime. Comput. Math. Appl. Niall Bootland, Victorita Dolean, Pierre Jolivet, Pierre-Henri Tournier
2021	J	`jnl`	GenEO coarse spaces for heterogeneous indefinite elliptic problems. CoRR Niall Bootland, Victorita Dolean, Ivan G. Graham, Chupeng Ma, Robert Scheichl
2021	J	`jnl`	Inexact subdomain solves using deflated GMRES for Helmholtz problems. CoRR Niall Bootland, Vandana Dwarka, Pierre Jolivet, Victorita Dolean, Cornelis Vuik
2021	J	`jnl`	Optimizing transmission conditions for multiple subdomains in the Magnetotelluric Approximation of Maxwell's equations. CoRR Victorita Dolean, Martin J. Gander, Alexandros Kyriakis
2021	J	`jnl`	Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems. CoRR Niall Bootland, Victorita Dolean, Ivan G. Graham, Chupeng Ma, Robert Scheichl
2021	J	`jnl`	Several ways to achieve robustness when solving wave propagation problems. CoRR Niall Bootland, Victorita Dolean, Pierre Jolivet, Frédéric Nataf, Stéphane Operto, Pierre-Henri Tournier
2020	J	`jnl`	A comparison of coarse spaces for Helmholtz problems in the high frequency regime. CoRR Niall Bootland, Victorita Dolean, Pierre Jolivet, Pierre-Henri Tournier
2020	J	`jnl`	Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. CoRR Niall Bootland, Victorita Dolean, Alexandros Kyriakis, Jennifer Pestana
2020	J	`jnl`	Iterative frequency-domain seismic wave solvers based on multi-level domain-decomposition preconditioners. CoRR Victorita Dolean, Pierre Jolivet, Stéphane Operto, Pierre-Henri Tournier
2020	J	`jnl`	Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves. SIAM J. Sci. Comput. R. Brunet, Victorita Dolean, Martin J. Gander
2020	J	`jnl`	Two-level DDM preconditioners for positive Maxwell equations. CoRR Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
2019	J	`jnl`	Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Math. Comput. Marcella Bonazzoli, Victorita Dolean, Ivan G. Graham, Euan A. Spence, Pierre-Henri Tournier
2019	J	`jnl`	Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem. Comput. Methods Appl. Math. Gabriel R. Barrenechea, Michal Bosy, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
2019	J	`jnl`	Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing. Parallel Comput. Pierre-Henri Tournier, Ioannis Aliferis, Marcella Bonazzoli, Maya de Buhan, Marion Darbas, Victorita Dolean, Frédéric Hecht, Pierre Jolivet, Ibtissam El Kanfoud, Claire Migliaccio, Frédéric Nataf, Christian Pichot, Serguei Semenov
2019	—	`conf`	On the Dirichlet-to-Neumann Coarse Space for Solving the Helmholtz Problem Using Domain Decomposition. ENUMATH Niall Bootland, Victorita Dolean
2019	J	`jnl`	On the Dirichlet-to-Neumann coarse space for solving the Helmholtz problem using domain decomposition. CoRR Niall Bootland, Victorita Dolean
2018	J	`jnl`	An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations. Comput. Math. Appl. Marcella Bonazzoli, Victorita Dolean, Frédéric Hecht, Francesca Rapetti
2017	J	`jnl`	Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations. CoRR Gabriel R. Barrenechea, Michal Bosy, Victorita Dolean
2016	J	`jnl`	Microwave Tomographic Imaging of Cerebrovascular Accidents by Using High-Performance Computing. CoRR Pierre-Henri Tournier, Ioannis Aliferis, Marcella Bonazzoli, Maya de Buhan, Marion Darbas, Victorita Dolean, Frédéric Hecht, Pierre Jolivet, Ibtissam El Kanfoud, Claire Migliaccio, Frédéric Nataf, Christian Pichot, Serguei Semenov
2016	J	`jnl`	Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method. SIAM J. Sci. Comput. Victorita Dolean, Martin J. Gander, Walid Kheriji, Felix Kwok, Roland Masson
2015	J	`jnl`	Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator" [J. Comput. Appl. Math. (2014) 83-99]. J. Comput. Appl. Math. Lea Conen, Victorita Dolean, Rolf Krause, Frédéric Nataf
2015	—	`book`	An introduction to domain decomposition methods - algorithms, theory, and parallel implementation. Victorita Dolean, Pierre Jolivet, Frédéric Nataf
2015	J	`jnl`	Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations. J. Comput. Phys. Victorita Dolean, Martin J. Gander, Stéphane Lanteri, Jin-Fa Lee, Zhen Peng
2014	J	`jnl`	A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. J. Comput. Appl. Math. Lea Conen, Victorita Dolean, Rolf Krause, Frédéric Nataf
2014	J	`jnl`	Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. Numerische Mathematik Nicole Spillane, Victorita Dolean, Patrice Hauret, Frédéric Nataf, Clemens Pechstein, Robert Scheichl
2013	—	`ch.`	A Two-Level Schwarz Preconditioner for Heterogeneous Problems. Domain Decomposition Methods in Science and Engineering XX Victorita Dolean, Frédéric Nataf, Robert Scheichl, Nicole Spillane
2013	—	`ch.`	Comparison of a One and Two Parameter Family of Transmission Conditions for Maxwell's Equations with Damping. Domain Decomposition Methods in Science and Engineering XX Mohamed El Bouajaji, Victorita Dolean, Martin J. Gander, Stéphane Lanteri
2013	—	`ch.`	Symbolic Techniques for Domain Decomposition Methods. Domain Decomposition Methods in Science and Engineering XX Thomas Cluzeau, Victorita Dolean, Frédéric Nataf, Alban Quadrat
2012	J	`jnl`	Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps. Comput. Methods Appl. Math. Victorita Dolean, Frédéric Nataf, Robert Scheichl, Nicole Spillane
2012	J	`jnl`	High performance domain decomposition methods on massively parallel architectures with freefem++. J. Num. Math. Pierre Jolivet, Victorita Dolean, Frédéric Hecht, Frédéric Nataf, Christophe Prud'Homme, Nicole Spillane
2012	J	`jnl`	Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping. SIAM J. Sci. Comput. Mohamed El Bouajaji, Victorita Dolean, Martin J. Gander, Stéphane Lanteri
2011	J	`jnl`	A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps. SIAM J. Sci. Comput. Frédéric Nataf, Hua Xiang, Victorita Dolean, Nicole Spillane
2010	J	`jnl`	Locally implicit discontinuous Galerkin method for time domain electromagnetics. J. Comput. Phys. Victorita Dolean, Hassan Fahs, Loula Fezoui, Stéphane Lanteri
2009	J	`jnl`	Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Math. Comput. Victorita Dolean, Frédéric Nataf, Gerd Rapin
2009	J	`jnl`	Optimized Schwarz Methods for Maxwell's Equations. SIAM J. Sci. Comput. Victorita Dolean, Martin J. Gander, Luca Gerardo-Giorda
2008	J	`jnl`	A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods. J. Comput. Phys. Victorita Dolean, Stéphane Lanteri, Ronan Perrussel
2004	J	`jnl`	Parallel multigrid methods for the calculation of unsteady flows on unstructured grids: algorithmic aspects and parallel performances on clusters of PCs. Parallel Comput. Victorita Dolean, Stéphane Lanteri