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Victorita Dolean
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2020 – today
- 2024
- [j23]Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau:
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. Numerische Mathematik 156(4): 1385-1426 (2024) - [i28]Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer:
Improvements to the theoretical estimates of the Schwarz preconditioner with Δ-GenEO coarse space for the indefinite Helmholtz problem. CoRR abs/2403.18378 (2024) - [i27]Miranda Boutilier, Konstantin Brenner, Victorita Dolean:
Two-level Nonlinear Preconditioning Methods for Flood Models Posed on Perforated Domains. CoRR abs/2406.06189 (2024) - [i26]Victorita Dolean, Mark Fry, Ivan G. Graham, Matthias Langer:
Schwarz preconditioner with Hk-GenEO coarse space for the indefinite Helmholtz problem. CoRR abs/2406.06283 (2024) - 2023
- [j22]James Ludlam
, Katherine Tant, Victorita Dolean, Andrew Curtis:
Travel times and ray paths for acoustic and elastic waves in generally anisotropic media. J. Comput. Phys. 494: 112500 (2023) - [j21]Victorita Dolean
, Martin J. Gander
, Alexandros Kyriakis:
Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains. SIAM J. Sci. Comput. 45(2): 829- (2023) - [i25]Victorita Dolean, Alexander Heinlein, Siddhartha Mishra, Ben Moseley:
Multilevel domain decomposition-based architectures for physics-informed neural networks. CoRR abs/2306.05486 (2023) - [i24]Sudhi Sharma, Pierre Jolivet, Victorita Dolean, Abhijit Sarkar:
Multilevel Scalable Solvers for Stochastic Linear and Nonlinear Problems. CoRR abs/2310.14649 (2023) - [i23]Miranda Boutilier, Konstantin Brenner, Victorita Dolean:
Robust Methods for Multiscale Coarse Approximations of Diffusion Models in Perforated Domains. CoRR abs/2310.15669 (2023) - [i22]Sahar Borzooei, Pierre-Henri Tournier, Victorita Dolean, Christian Pichot, Nadine Joachimowicz, Hélène Roussel, Claire Migliaccio:
Numerical Modeling for Shoulder Injury Detection Using Microwave Imaging. CoRR abs/2311.05322 (2023) - [i21]Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier:
A robust and adaptive GenEO-type domain decomposition preconditioner for H(curl) problems in general non-convex three-dimensional geometries. CoRR abs/2311.18783 (2023) - 2022
- [i20]Niall Bootland, Victorita Dolean:
Are spectral coarse spaces sufficiently robust for heterogeneous Helmholtz problems? CoRR abs/2202.08766 (2022) - [i19]Victorita Dolean, Martin J. Gander
, Alexandros Kyriakis:
Closed form optimized transmission conditions for complex diffusion with many subdomains. CoRR abs/2204.09754 (2022) - [i18]Sudhi P. V., Victorita Dolean, Pierre Jolivet, Brandon Robinson, Jodi D. Edwards, Tetyana Kendzerska, Abhijit Sarkar:
Scalable Computational Algorithms for Geo-spatial Covid-19 Spread in High Performance Computing. CoRR abs/2208.01839 (2022) - [i17]Théophile Chaumont-Frelet, Victorita Dolean, Maxime Ingremeau
:
Efficient approximation of high-frequency Helmholtz solutions by Gaussian coherent states. CoRR abs/2208.04851 (2022) - [i16]Sahar Borzooei, Victorita Dolean, Pierre-Henri Tournier, Claire Migliaccio:
Solution of time-harmonic Maxwell's equations by a domain decomposition method based on PML transmission conditions. CoRR abs/2211.04912 (2022) - [i15]Victorita Dolean, Alexander Heinlein, Siddhartha Mishra, Ben Moseley:
Finite basis physics-informed neural networks as a Schwarz domain decomposition method. CoRR abs/2211.05560 (2022) - [i14]Miranda Boutilier, Konstantin Brenner, Victorita Dolean:
A Trefftz-like coarse space for the two-level Schwarz method on perforated domains. CoRR abs/2211.05880 (2022) - [i13]Niall Bootland, Sahar Borzooei, Victorita Dolean, Pierre-Henri Tournier:
Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation. CoRR abs/2211.06859 (2022) - 2021
- [j20]Niall Bootland
, Victorita Dolean
, Pierre Jolivet, Pierre-Henri Tournier:
A comparison of coarse spaces for Helmholtz problems in the high frequency regime. Comput. Math. Appl. 98: 239-253 (2021) - [i12]Niall Bootland, Victorita Dolean, Pierre Jolivet, Frédéric Nataf, Stéphane Operto, Pierre-Henri Tournier:
Several ways to achieve robustness when solving wave propagation problems. CoRR abs/2103.06025 (2021) - [i11]Victorita Dolean, Martin J. Gander, Alexandros Kyriakis:
Optimizing transmission conditions for multiple subdomains in the Magnetotelluric Approximation of Maxwell's equations. CoRR abs/2103.07879 (2021) - [i10]Niall Bootland, Victorita Dolean, Ivan G. Graham, Chupeng Ma, Robert Scheichl:
GenEO coarse spaces for heterogeneous indefinite elliptic problems. CoRR abs/2103.16703 (2021) - [i9]Niall Bootland, Vandana Dwarka, Pierre Jolivet, Victorita Dolean, Cornelis Vuik:
Inexact subdomain solves using deflated GMRES for Helmholtz problems. CoRR abs/2103.17081 (2021) - [i8]Niall Bootland, Victorita Dolean, Ivan G. Graham, Chupeng Ma, Robert Scheichl:
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems. CoRR abs/2110.13537 (2021) - 2020
- [j19]R. Brunet, Victorita Dolean, Martin J. Gander
:
Natural Domain Decomposition Algorithms for the Solution of Time-Harmonic Elastic Waves. SIAM J. Sci. Comput. 42(5): A3313-A3339 (2020) - [i7]Victorita Dolean, Pierre Jolivet, Stéphane Operto, Pierre-Henri Tournier:
Iterative frequency-domain seismic wave solvers based on multi-level domain-decomposition preconditioners. CoRR abs/2004.06309 (2020) - [i6]Niall Bootland
, Victorita Dolean, Alexandros Kyriakis, Jennifer Pestana
:
Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. CoRR abs/2006.08801 (2020) - [i5]Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier:
Two-level DDM preconditioners for positive Maxwell equations. CoRR abs/2012.02388 (2020) - [i4]Niall Bootland, Victorita Dolean, Pierre Jolivet, Pierre-Henri Tournier:
A comparison of coarse spaces for Helmholtz problems in the high frequency regime. CoRR abs/2012.02678 (2020)
2010 – 2019
- 2019
- [j18]Gabriel R. Barrenechea
, Michal Bosy
, Victorita Dolean
, Frédéric Nataf, Pierre-Henri Tournier:
Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem. Comput. Methods Appl. Math. 19(4): 703-722 (2019) - [j17]Marcella Bonazzoli
, Victorita Dolean
, Ivan G. Graham, Euan A. Spence
, Pierre-Henri Tournier:
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Math. Comput. 88(320): 2559-2604 (2019) - [j16]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:
Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing. Parallel Comput. 85: 88-97 (2019) - [c1]Niall Bootland
, Victorita Dolean:
On the Dirichlet-to-Neumann Coarse Space for Solving the Helmholtz Problem Using Domain Decomposition. ENUMATH 2019: 175-184 - [i3]Niall Bootland
, Victorita Dolean:
On the Dirichlet-to-Neumann coarse space for solving the Helmholtz problem using domain decomposition. CoRR abs/1912.06053 (2019) - 2018
- [j15]Marcella Bonazzoli
, Victorita Dolean
, Frédéric Hecht, Francesca Rapetti:
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. 75(5): 1498-1514 (2018) - 2017
- [i2]Gabriel R. Barrenechea, Michal Bosy
, Victorita Dolean:
Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations. CoRR abs/1706.09776 (2017) - 2016
- [j14]Victorita Dolean
, Martin J. Gander
, Walid Kheriji, Felix Kwok
, Roland Masson:
Nonlinear Preconditioning: How to Use a Nonlinear Schwarz Method to Precondition Newton's Method. SIAM J. Sci. Comput. 38(6) (2016) - [i1]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:
Microwave Tomographic Imaging of Cerebrovascular Accidents by Using High-Performance Computing. CoRR abs/1607.02573 (2016) - 2015
- [b1]Victorita Dolean, Pierre Jolivet, Frédéric Nataf:
An introduction to domain decomposition methods - algorithms, theory, and parallel implementation. SIAM 2015, ISBN 978-1-611-97405-8, pp. 1-238 - [j13]Lea Conen
, Victorita Dolean
, Rolf Krause
, Frédéric Nataf:
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. 290: 670-674 (2015) - [j12]Victorita Dolean
, Martin J. Gander
, Stéphane Lanteri, Jin-Fa Lee, Zhen Peng:
Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations. J. Comput. Phys. 280: 232-247 (2015) - 2014
- [j11]Lea Conen
, Victorita Dolean
, Rolf Krause
, Frédéric Nataf:
A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. J. Comput. Appl. Math. 271: 83-99 (2014) - [j10]Nicole Spillane, Victorita Dolean
, Patrice Hauret, Frédéric Nataf, Clemens Pechstein, Robert Scheichl
:
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. Numerische Mathematik 126(4): 741-770 (2014) - 2013
- [p3]Thomas Cluzeau, Victorita Dolean
, Frédéric Nataf, Alban Quadrat:
Symbolic Techniques for Domain Decomposition Methods. Domain Decomposition Methods in Science and Engineering XX 2013: 27-38 - [p2]Victorita Dolean
, Frédéric Nataf, Robert Scheichl
, Nicole Spillane:
A Two-Level Schwarz Preconditioner for Heterogeneous Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 87-94 - [p1]Mohamed El Bouajaji, Victorita Dolean
, Martin J. Gander
, Stéphane Lanteri:
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 2013: 271-278 - 2012
- [j9]Victorita Dolean, Frédéric Nataf, Robert Scheichl
, Nicole Spillane:
Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps. Comput. Methods Appl. Math. 12(4): 391-414 (2012) - [j8]Pierre Jolivet, Victorita Dolean
, Frédéric Hecht, Frédéric Nataf, Christophe Prud'homme
, Nicole Spillane:
High performance domain decomposition methods on massively parallel architectures with freefem++. J. Num. Math. 20(3-4): 287-302 (2012) - [j7]Mohamed El Bouajaji, Victorita Dolean
, Martin J. Gander
, Stéphane Lanteri:
Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping. SIAM J. Sci. Comput. 34(4) (2012) - 2011
- [j6]Frédéric Nataf, Hua Xiang, Victorita Dolean
, Nicole Spillane:
A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps. SIAM J. Sci. Comput. 33(4): 1623-1642 (2011) - 2010
- [j5]Victorita Dolean
, Hassan Fahs, Loula Fezoui, Stéphane Lanteri:
Locally implicit discontinuous Galerkin method for time domain electromagnetics. J. Comput. Phys. 229(2): 512-526 (2010)
2000 – 2009
- 2009
- [j4]Victorita Dolean
, Frédéric Nataf, Gerd Rapin:
Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Math. Comput. 78(266): 789-814 (2009) - [j3]Victorita Dolean
, Martin J. Gander
, Luca Gerardo-Giorda
:
Optimized Schwarz Methods for Maxwell's Equations. SIAM J. Sci. Comput. 31(3): 2193-2213 (2009) - 2008
- [j2]Victorita Dolean
, Stéphane Lanteri, Ronan Perrussel
:
A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods. J. Comput. Phys. 227(3): 2044-2072 (2008) - 2004
- [j1]Victorita Dolean
, Stéphane Lanteri:
Parallel multigrid methods for the calculation of unsteady flows on unstructured grids: algorithmic aspects and parallel performances on clusters of PCs. Parallel Comput. 30(4): 503-525 (2004)
Coauthor Index
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