Parallel multigrid methods for the calculation of unsteady flows on unstructured grids: algorithmic aspects and parallel performances on clusters of PCs. - Victorita Dolean; Stéphane Lanteri (Parallel Comput., 2004)

A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods. - Victorita Dolean; Stéphane Lanteri; Ronan Perrussel (J. Comput. Phys., 2008)

Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. - Victorita Dolean; Frédéric Nataf; Gerd Rapin (Math. Comput., 2009)

Optimized Schwarz Methods for Maxwell's Equations. - Victorita Dolean; Martin J. Gander; Luca Gerardo-Giorda (SIAM J. Sci. Comput., 2009)

Locally implicit discontinuous Galerkin method for time domain electromagnetics. - Victorita Dolean; Hassan Fahs; Loula Fezoui; Stéphane Lanteri (J. Comput. Phys., 2010)

A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps. - Frédéric Nataf; Hua Xiang 002; Victorita Dolean; Nicole Spillane (SIAM J. Sci. Comput., 2011)

Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps. - Victorita Dolean; Frédéric Nataf; Robert Scheichl; Nicole Spillane (Comput. Methods Appl. Math., 2012)

High performance domain decomposition methods on massively parallel architectures with freefem++. - Pierre Jolivet; Victorita Dolean; Frédéric Hecht; Frédéric Nataf; Christophe Prud'homme; Nicole Spillane (J. Num. Math., 2012)

Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping. - Mohamed El Bouajaji; Victorita Dolean; Martin J. Gander; Stéphane Lanteri (SIAM J. Sci. Comput., 2012)

Comparison of a One and Two Parameter Family of Transmission Conditions for Maxwell's Equations with Damping. - Mohamed El Bouajaji; Victorita Dolean; Martin J. Gander; Stéphane Lanteri (Domain Decomposition Methods in Science and Engineering XX, 2013)

Symbolic Techniques for Domain Decomposition Methods. - Thomas Cluzeau; Victorita Dolean; Frédéric Nataf; Alban Quadrat (Domain Decomposition Methods in Science and Engineering XX, 2013)

A Two-Level Schwarz Preconditioner for Heterogeneous Problems. - Victorita Dolean; Frédéric Nataf; Robert Scheichl; Nicole Spillane (Domain Decomposition Methods in Science and Engineering XX, 2013)

A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. - Lea Conen; Victorita Dolean; Rolf Krause; Frédéric Nataf (J. Comput. Appl. Math., 2014)

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. - Nicole Spillane; Victorita Dolean; Patrice Hauret; Frédéric Nataf; Clemens Pechstein; Robert Scheichl (Numerische Mathematik, 2014)

An introduction to domain decomposition methods - algorithms, theory, and parallel implementation. - Victorita Dolean; Pierre Jolivet; Frédéric Nataf (SIAM, 2015)

Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator" [J. Comput. Appl. Math. (2014) 83-99]. - Lea Conen; Victorita Dolean; Rolf Krause; Frédéric Nataf (J. Comput. Appl. Math., 2015)

Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations. - Victorita Dolean; Martin J. Gander; Stéphane Lanteri; Jin-Fa Lee; Zhen Peng 002 (J. Comput. Phys., 2015)

Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method. - Victorita Dolean; Martin J. Gander; Walid Kheriji; Felix Kwok; Roland Masson (SIAM J. Sci. Comput., 2016)

Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations. - Gabriel R. Barrenechea; Michal Bosy; Victorita Dolean (CoRR, 2017)

An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations. - Marcella Bonazzoli; Victorita Dolean; Frédéric Hecht; Francesca Rapetti (Comput. Math. Appl., 2018)

On the Dirichlet-to-Neumann Coarse Space for Solving the Helmholtz Problem Using Domain Decomposition. - Niall Bootland; Victorita Dolean (ENUMATH, 2019)

Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem. - Gabriel R. Barrenechea; Michal Bosy; Victorita Dolean; Frédéric Nataf; Pierre-Henri Tournier (Comput. Methods Appl. Math., 2019)

Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. - Marcella Bonazzoli; Victorita Dolean; Ivan G. Graham; Euan A. Spence; Pierre-Henri Tournier (Math. Comput., 2019)

Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing. - 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; et al. (Parallel Comput., 2019)

Iterative frequency-domain seismic wave solvers based on multi-level domain-decomposition preconditioners. - Victorita Dolean; Pierre Jolivet; Stéphane Operto; Pierre-Henri Tournier (CoRR, 2020)

Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. - Niall Bootland; Victorita Dolean; Alexandros Kyriakis; Jennifer Pestana (CoRR, 2020)

Two-level DDM preconditioners for positive Maxwell equations. - Niall Bootland; Victorita Dolean; Frédéric Nataf; Pierre-Henri Tournier (CoRR, 2020)

Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves. - R. Brunet; Victorita Dolean; Martin J. Gander (SIAM J. Sci. Comput., 2020)

A comparison of coarse spaces for Helmholtz problems in the high frequency regime. - Niall Bootland; Victorita Dolean; Pierre Jolivet; Pierre-Henri Tournier (Comput. Math. Appl., 2021)

Several ways to achieve robustness when solving wave propagation problems. - Niall Bootland; Victorita Dolean; Pierre Jolivet; Frédéric Nataf; Stéphane Operto; Pierre-Henri Tournier (CoRR, 2021)

Optimizing transmission conditions for multiple subdomains in the Magnetotelluric Approximation of Maxwell's equations. - Victorita Dolean; Martin J. Gander; Alexandros Kyriakis (CoRR, 2021)

GenEO coarse spaces for heterogeneous indefinite elliptic problems. - Niall Bootland; Victorita Dolean; Ivan G. Graham; Chupeng Ma; Robert Scheichl (CoRR, 2021)

Inexact subdomain solves using deflated GMRES for Helmholtz problems. - Niall Bootland; Vandana Dwarka; Pierre Jolivet; Victorita Dolean; Cornelis Vuik (CoRR, 2021)

Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems. - Niall Bootland; Victorita Dolean; Ivan G. Graham; Chupeng Ma; Robert Scheichl (CoRR, 2021)

Are spectral coarse spaces sufficiently robust for heterogeneous Helmholtz problems? - Niall Bootland; Victorita Dolean (CoRR, 2022)

Scalable Computational Algorithms for Geo-spatial Covid-19 Spread in High Performance Computing. - Sudhi P. V.; Victorita Dolean; Pierre Jolivet; Brandon Robinson; Jodi D. Edwards; Tetyana Kendzerska; Abhijit Sarkar (CoRR, 2022)

Solution of time-harmonic Maxwell's equations by a domain decomposition method based on PML transmission conditions. - Sahar Borzooei; Victorita Dolean; Pierre-Henri Tournier; Claire Migliaccio (CoRR, 2022)

Finite basis physics-informed neural networks as a Schwarz domain decomposition method. - Victorita Dolean; Alexander Heinlein; Siddhartha Mishra; Ben Moseley (CoRR, 2022)

A Trefftz-like coarse space for the two-level Schwarz method on perforated domains. - Miranda Boutilier; Konstantin Brenner; Victorita Dolean (CoRR, 2022)

Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation. - Niall Bootland; Sahar Borzooei; Victorita Dolean; Pierre-Henri Tournier (CoRR, 2022)

Multilevel domain decomposition-based architectures for physics-informed neural networks. - Victorita Dolean; Alexander Heinlein; Siddhartha Mishra; Ben Moseley (CoRR, 2023)

Multilevel Scalable Solvers for Stochastic Linear and Nonlinear Problems. - Sudhi Sharma; Pierre Jolivet; Victorita Dolean; Abhijit Sarkar (CoRR, 2023)

Robust Methods for Multiscale Coarse Approximations of Diffusion Models in Perforated Domains. - Miranda Boutilier; Konstantin Brenner; Victorita Dolean (CoRR, 2023)

Numerical Modeling for Shoulder Injury Detection Using Microwave Imaging. - Sahar Borzooei; Pierre-Henri Tournier; Victorita Dolean; Christian Pichot; Nadine Joachimowicz; Hélène Roussel; Claire Migliaccio (CoRR, 2023)

A robust and adaptive GenEO-type domain decomposition preconditioner for H(curl) problems in general non-convex three-dimensional geometries. - Niall Bootland; Victorita Dolean; Frédéric Nataf; Pierre-Henri Tournier (CoRR, 2023)

Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains. - Victorita Dolean; Martin J. Gander; Alexandros Kyriakis (SIAM J. Sci. Comput., 2023)

Travel times and ray paths for acoustic and elastic waves in generally anisotropic media. - James Ludlam; Katherine Tant; Victorita Dolean; Andrew Curtis (J. Comput. Phys., 2023)

Improvements to the theoretical estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem. - Victorita Dolean; Mark Fry; Ivan G. Graham; Matthias Langer (CoRR, 2024)

Two-level Nonlinear Preconditioning Methods for Flood Models Posed on Perforated Domains. - Miranda Boutilier; Konstantin Brenner; Victorita Dolean (CoRR, 2024)

Schwarz preconditioner with Hk-GenEO coarse space for the indefinite Helmholtz problem. - Victorita Dolean; Mark Fry; Ivan G. Graham; Matthias Langer (CoRR, 2024)

Two-level deep domain decomposition method. - Victorita Dolean; Serge Gratton; Alexander Heinlein; Valentin Mercier (CoRR, 2024)

ELM-FBPINN: efficient finite-basis physics-informed neural networks. - Samuel Anderson; Victorita Dolean; Ben Moseley; Jennifer Pestana (CoRR, 2024)

Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. - Théophile Chaumont-Frelet; Victorita Dolean; Maxime Ingremeau (Numerische Mathematik, 2024)

An Iterative Block Matrix Inversion (IBMI) Algorithm for Symmetric Positive Definite Matrices with Applications to Covariance Matrices. - Ann Paterson; Jennifer Pestana; Victorita Dolean (CoRR, 2025)

Modal analysis of a domain decomposition method for Maxwell's equations in a waveguide. - Victorita Dolean; Antoine Tonnoir; Pierre-Henri Tournier (CoRR, 2025)

Convergence analysis of GMRES applied to Helmholtz problems near resonances. - Victorita Dolean; Pierre Marchand; Axel Modave; Timothée Raynaud (CoRR, 2025)

Local feature filtering for scalable and well-conditioned Random Feature Methods. - Jan Willem van Beek; Victorita Dolean; Ben Moseley (CoRR, 2025)