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Article

Boutilier, Miranda and Brenner, Konstantin and Dolean, Victorita (2024) Robust methods for multiscale coarse approximations of diffusion models in perforated domains. Applied Numerical Mathematics, 201. pp. 561-578. ISSN 0168-9274

Ludlam, James and Tant, Katherine and Dolean, Victorita and Curtis, Andrew (2023) Travel times and ray paths for acoustic and elastic waves in generally anisotropic media. Journal of Computational Physics, 494. 112500. ISSN 0021-9991

Bootland, Niall and Dolean, Victorita and Graham, Ivan G and Ma, Chupeng and Scheichl, Robert (2023) Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems. IMA Journal of Numerical Analysis, 43 (4). pp. 1899-1936. ISSN 0272-4979

Sharma, Sudhi and Dolean, Victorita and Jolivet, Pierre and Robinson, Brandon and Edwards, Jodi D. and Kendzerska, Tetyana and Sarkar, Abhijit (2023) Scalable computational algorithms for geospatial COVID-19 spread using high performance computing. Mathematical Biosciences and Engineering, 20 (8). pp. 14634-14674. ISSN 1551-0018

Dolean, Victorita and Gander, Martin J. and Kyriakis, Alexandros (2023) Closed form optimized transmission conditions for complex diffusion with many subdomains. SIAM Journal on Scientific Computing, 45 (2). A829-A848. ISSN 1064-8275

Tournier, Pierre-Henri and Jolivet, Pierre and Dolean, Victorita and Aghamiry, Hossein S. and Operto, Stéphane and Riffo, Sebastian (2022) Three-dimensional finite-difference finite-element frequency-domain wave simulation with multi-level optimized additive Schwarz domain-decomposition preconditioner : A tool for FWI of sparse node datasets. Geophysics, 87 (5). pp. 1-84. ISSN 1942-2156

Bootland, Niall and Dolean, Victorita (2022) Can DtN and GenEO coarse spaces be sufficiently robust for heterogeneous Helmholtz problems? Mathematical and Computational Applications, 27 (3). 35. ISSN 2297-8747

Robinson, Brandon and Edwards, Jodi D and Kendzerska, Tetyana and Pettit, Chris L and Poirel, Dominique and Daly, John M and Ammi, Mehdi and Khalil, Mohammad and Taillon, Peter J and Sandhu, Rimple and Mills, Shirley and Mulpuru, Sunita and Walker, Thomas and Percival, Valerie and Dolean, Victorita and Sarkar, Abhijit (2022) Comprehensive compartmental model and calibration algorithm for the study of clinical implications of the population-level spread of COVID-19 : a study protocol. BMJ open, 12 (3). e052681. ISSN 2044-6055

Bootland, Niall and Dolean, Victorita and Kyriakis, Alexandros and Pestana, Jennifer (2021) Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. ETNA - Electronic Transactions on Numerical Analysis, 55. pp. 112-141. ISSN 1068-9613

Bootland, Niall and Dolean, Victorita and Jolivet, Pierre and Tournier, Pierre-Henri (2021) A comparison of coarse spaces for Helmholtz problems in the high frequency regime. Computers and Mathematics with Applications, 98. pp. 239-253. ISSN 0898-1221

Brunet, R. and Dolean, V. and Gander, M. J. (2020) Natural domain decomposition algorithms for the solution of time-harmonic elastic waves. SIAM Journal on Scientific Computing, 42 (5). A3313-A3339. ISSN 1064-8275

Coli, Vanna Lisa and Tournier, Pierre Henri and Dolean, Victorita and Kanfoud, Ibtissam El and Pichot, Christian and Migliaccio, Claire and Blanc-Feraud, Laure (2019) Detection of simulated brain strokes using microwave tomography. IEEE Journal of Electromagnetics, RF and Microwaves in Medicine and Biology, 3 (4). pp. 254-260. 8731640. ISSN 2469-7249

Tournier, P.-H. and Aliferis, I. and Bonazzoli, M. and Buhan, M. de and Darbas, M. and Dolean, V. and Hecht, F. and Jolivet, P. and El Kanfoud, I. and Migliaccio, C. and Nataf, F. and Pichot, Ch. and Semenov, S. (2019) Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing. Parallel Computing, 85. pp. 88-97. ISSN 0167-8191

Bonazzoli, M. and Dolean, V. and Graham, I. G. and Spence, E. A. and Tournier, P.-H. (2019) Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption. Mathematics of Computation, 88 (320). pp. 2559-2604. ISSN 0025-5718

Claeys, X. and Dolean, V. and Gander, M. J. (2019) An introduction to multitrace formulations and associated domain decomposition solvers. Applied Numerical Mathematics, 135. pp. 69-86. ISSN 0168-9274

Dolean, Victorita and Gander, Martin J. and Veneros, Erwin (2018) Asymptotic analysis of optimized Schwarz methods for Maxwell's equations with discontinuous coefficients. ESAIM: Mathematical Modelling and Numerical Analysis, 52 (6). pp. 2457-2477. ISSN 0764-583X

Barrenechea, Gabriel R. and Bosy, Michał and Dolean, Victorita (2018) Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations. ETNA - Electronic Transactions on Numerical Analysis, 49. pp. 41-63. ISSN 1068-9613

Barrenechea, Gabriel R. and Bosy, Michał and Dolean, Victorita and Nataf, Frédéric and Tournier, Pierre Henri (2018) Hybrid discontinuous Galerkin discretisation and domain decomposition preconditioners for the Stokes problem. Computational Methods in Applied Mathematics. ISSN 1609-9389

Bonazzoli, Marcella and Dolean, Victorita and Hecht, Frédéric and Rapetti, Francesca (2018) An example of explicit implementation strategy and preconditioning for the high order edge finite elements applied to the time-harmonic Maxwell's equations. Computers and Mathematics with Applications, 75. pp. 1498-1514. ISSN 0898-1221

Tournier, Pierre Henri and Bonazzoli, Marcella and Dolean, Victorita and Rapetti, Francesca and Hecht, Frederic and Nataf, Frederic and Aliferis, Iannis and El Kanfoud, Ibtissam and Migliaccio, Claire and De Buhan, Maya and Darbas, Marion and Semenov, Serguei and Pichot, Christian (2017) Numerical modeling and high-speed parallel computing : new perspectives on tomographic microwave imaging for brain stroke detection and monitoring. IEEE Antennas and Propagation Magazine, 59 (5). pp. 98-110. ISSN 1045-9243

Bonazzoli, M. and Dolean, V. and Rapetti, F. and Tournier, P. -H. (2017) Parallel preconditioners and high order elements for microwave imaging. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields.

Dolean, V. and Gander, M. J. and Kheriji, W. and Kwok, F. and Masson, R. (2016) Nonlinear preconditioning : how to use a nonlinear Schwarz method to precondition Newton's method. SIAM Journal on Scientific Computing, 38 (6). A3357-A3380. ISSN 1064-8275

Conen, Lea and Dolean, Victorita and Krause, Rolf and Nataf, Frédéric (2015) Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator"' [J. Comput. Appl. Math. 271 (2014) 83–99]. Journal of Computational and Applied Mathematics, 290. pp. 670-674. ISSN 0377-0427

El Bouajaji, Mohamed and Dolean Maini, Victorita and Gander, Martin J. and Lanteri, Stephane and Perrussel, Ronan (2015) Discontinuous Galerkin discretizations of optimized Schwarz methods for solving the time-harmonic Maxwell's equations. ETNA - Electronic Transactions on Numerical Analysis, 44. pp. 572-592. ISSN 1068-9613

Dolean, Victorita and Gander, Martin J. and Lanteri, Stephane and Lee, Jin-Fa and Peng, Zhen (2015) Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations. Journal of Computational Physics, 280. pp. 232-247. ISSN 0021-9991

Conen, Lea and Dolean, Victorita and Krause, Rolf and Nataf, Frédéric (2014) A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. Journal of Computational and Applied Mathematics, 271. pp. 83-99. ISSN 0377-0427

Dolean, Victorita and Jolivet, Pierre and Nataf, Frederic and Spillane, Nicole and Xiang, Hua (2014) Two-level domain decomposition methods for highly heterogeneous Darcy equations. Connections with multiscale methods. Oil & Gas Science and Technology, 69 (4). pp. 731-752. ISSN 1294-4475

Spillane, N. and Dolean Maini, Victorita and Hauret, P. and Nataf, F. and Pechstein, C. and Scheichl, R. (2013) Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. Numerische Mathematik, n/a (n/a). n/a. ISSN 0029-599X

Nataf, Frédéric and Xiang, Hua and Dolean Maini, Victorita and Spillane, Nicole (2011) A course space construction based on local Dirichlet-to-Neumann maps. SIAM Journal on Scientific Computing, 33 (4). pp. 1623-1642. ISSN 1064-8275

Dolean Maini, Victorita and Fahs, Hassan and Fezoui, Loula and Lanteri, Stephane (2010) Locally implicit discontinuous Galerkin method for time domain electromagnetics. Journal of Computational Physics, 229 (2). pp. 512-526. ISSN 0021-9991

Dolean Maini, Victorita and Nataf, F. and Rapin, Gerd (2009) Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Mathematics of Computation, 78. pp. 789-814. ISSN 0025-5718

Dolean Maini, Victorita and Gander, M.J. and Gerardo-Giorda, L. (2009) Optimized Schwarz methods for Maxwell's equations. SIAM Journal on Scientific Computing, 31 (3). pp. 2193-2213. ISSN 1064-8275

Dolean Maini, Victorita and Lanteri, Stephane and Perrussel, Ronan (2008) A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods. Journal of Computational Physics, 227 (3). pp. 2044-2072. ISSN 0021-9991

Book Section

Bootland, Niall and Dolean, Victorita; Vermolen, Fred J. and Vuik, Cornelis, eds. (2021) On the Dirichlet-to-Neumann coarse space for solving the Helmholtz problem using domain decomposition. In: Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Lecture Notes in Computational Science and Engineering . Springer, NLD, pp. 175-184. ISBN 9783030558734

Brunet, Romain and Dolean, Victorita and Gander, Martin J.; Haynes, Ronald and MacLachlan, Scott and Cai, Xiao-Chuan and Halpern, Laurence and Hyun Kim, Hyea and Klawonn, Axel and Widlund, Olof B, eds. (2020) Can classical Schwarz methods for time-harmonic elastic waves converge? In: Domain Decomposition Methods in Science and Engineering XXV. Springer-Verlag, Cham, Switzerland, pp. 425-432. ISBN 978-3-030-56750-7

Barrenechea, Gabriel R. and Bosy, Michał and Dolean, Victorita; Sherwin, Spencer J. and Peiró, Joaquim and Vincent, Peter E. and Moxey, David and Schwab, Christoph, eds. (2020) Stabilised hybrid discontinuous Galerkin methods for the Stokes problem with non-standard boundary conditions. In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018. Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018, 134 . Springer-Verlag, Cham, Switzerland, pp. 179-189. ISBN 978-3-030-39646-6

Coli, Vanna Lisa and Tournier, Pierre-Henri and Dolean, Victorita and El Kanfoud, Ibtissam and Pichot, Christian and Migliaccio, Claire and Blanc-Féraud, Laure; (2019) Detection of brain strokes using microwave tomography. In: 2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting - Proceedings. IEEE, USA, pp. 223-224. ISBN 9781538671023

Bonazzoli, Marcella and Dolean, Victorita and Graham, Ivan G. and Spence, Euan A. and Tournier, Pierre-Henri; Bjørstad, P. E., ed. (2019) Two-level preconditioners for the Helmholtz equation. In: Domain Decomposition Methods in Science and Engineering XXIV (DD 2017). Lecture Notes in Computational Science and Engineering, 125 . Springer, NOR, pp. 139-147. ISBN 9783319938738

Bonazzoli, Marcella and Dolean, Victorita and Graham, Ivan G. and Spence, Euan A. and Tournier, Pierre-Henri; Bjørstad, Petter E. and Brenner, Susanne C. and Halpern, Lawrence and Kim, Hyea Hyun and Kornhuber, Ralf and Rahman, Talal and Widlund, Olof B., eds. (2019) A two-level domain-decomposition preconditioner for the time-harmonic Maxwell's equations. In: Domain Decomposition Methods in Science and Engineering XXIV. Lecture Notes in Computational Science and Engineering, 125 . Springer-Verlag, NOR, pp. 149-157. ISBN 9783319938738

Tournier, P. H. and Hecht, F. and Nataf, F. and Semenov, S. and Bonazzoli, M. and Rapetti, F. and Dolean, V. and El Kanfoud, I. and Aliferis, I. and Migliaccio, C. and Pichot, Ch; (2017) Microwave tomography for brain stroke imaging. In: 2017 IEEE Antennas and Propagation Society International Symposium, Proceedings. Institute of Electrical and Electronics Engineers Inc., USA, pp. 29-30. ISBN 9781538632840

Ayala, Alan and Claeys, Xavier and Dolean, Victorita and Gander, Martin J.; Lee, Chang-Ock and Cai, Xiao-Chuan and Keyes, David E. and Kim, Hyea Hyun and Klawonn, Axel and Park, Eun-Jae and Widlund, Olof B., eds. (2017) Closed form inverse of local multi-trace operators. In: Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering . Springer-Verlag, KOR, pp. 107-115. ISBN 9783319523880

Dolean, Victorita and Gander, Martin J. and Veneros, Erwin and Zhang, Hui; (2017) Optimized Schwarz methods for heterogeneous Helmholtz and Maxwell's equations. In: Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering . Springer-Verlag, KOR, pp. 145-152. ISBN 9783319523897

Bonazzoli, Marcella and Dolean, Victorita and Pasquetti, Richard and Rapetti, Francesca; Lee, Chang-Ock and Cai, Xiao-Chuan and Hansford, Victoria and Kim, Hyea Hyun and Klawonn, Axel and Park, Eun-Jae and Widlund, Olof B., eds. (2017) Schwarz preconditioning for high order edge element discretizations of the time-harmonic Maxwell's equations. In: Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering . Springer-Verlag, KOR, pp. 117-124. ISBN 9783319523897

Dolean, Victorita and Gander, Martin J.; Dickopf, Thomas and Gander, Martin J. and Halpern, Laurence and Krause, Rolf and Pavarino, Luca F., eds. (2016) Multitrace formulations and Dirichlet-Neumann algorithms. In: Domain Decomposition Methods in Science and Engineering XXII. Lecture Notes in Computational Science and Engineering, 104 . Springer-Verlag, CHE, pp. 147-155. ISBN 9783319188263

El Kanfoud, Ibtissam and Dolean, Victorita and Migliaccio, Claire and Lanteri, Jerôme and Aliferis, Iannis and Pichot, Christian and Tournier, Pierre-Henri and Nataf, Frédéric and Hecht, Frédéric and Semenov, Serguei and Bonazzoli, Marcella and Rapetti, Francesca and Pasquetti, Richard and De Buhan, Maya and Kray, Marie and Darbas, Marion; (2016) Whole-microwave system modeling for brain imaging. In: Proceeding - 2015 IEEE International Conference on Antenna Measurements and Applications, IEEE CAMA 2015. Institute of Electrical and Electronics Engineers Inc., THA. ISBN 9781467391498

Dolean, Victorita and Gander, Martin J. and Veneros, Erwin; (2016) Schwarz methods for second order Maxwell equations in 3D with coefficient jumps. In: Domain Decomposition Methods in Science and Engineering XXII. Lecture Notes in Computational Science and Engineering, 104 . Springer-Verlag, CHE, pp. 471-479. ISBN 9783319188263

Dolean, Victorita and Gander, Martin J. and Veneros, Erwin; Erhel, Jocelyne and Gander, Martin J. and Halpern, Laurence and Pichot, Géraldine and Sassi, Taoufik and Widlund, Olof, eds. (2014) Optimized schwarz methods for Maxwell equations with discontinuous coefficients. In: Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering . Springer, FRA, pp. 517-525. ISBN 9783319057897

Spillane, Nicole and Dolean, Victorita and Hauret, Patrice and Nataf, Frédéric and Pechstein, Clemens and Scheichl, Robert; Erhel, Jocelyne and Gander, Martin J. and Halpern, Laurence and Pichot, Géraldine and Sassi, Taoufik and Widlund, Olof, eds. (2014) Achieving robustness through coarse space enrichment in the two level Schwarz framework. In: Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, 98 . Springer-Verlag, FRA, pp. 447-456. ISBN 9783319057897

El Bouajaji, Mohamed and Dolean, Victorita and Gander, Martin J. and Lanteri, Stéphane and Perrussel, Ronan; Erhel, Jocelyne and Gander, Martin J. and Halpern, Laurence and Pichot, Géraldine and Sassi, Taoufik and Widlund, Olof, eds. (2014) DG discretization of optimized Schwarz methods for Maxwell's equations. In: Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, 98 . Springer-Verlag, FRA, pp. 217-225. ISBN 9783319057897

Dolean, Victorita and Gander, Martin J. and Lanteri, Stéphane and Lee, Jin-Fa and Peng, Zhen; Erhel, Jocelyne and Gander, Martin J. and Halpern, Laurence and Pichot, Géraldine and Sassi, Taoufik and Widlund, Olof, eds. (2014) Optimized Schwarz methods for curl-curl time-harmonic Maxwell's equations. In: Domain Decomposition Methods in Science and Engineering XXI. Lecture Notes in Computational Science and Engineering, 98 . Springer-Verlag, FRA, pp. 587-595. ISBN 9783319057897

Dolean, Victorita and Gander, Martin J.; (2010) Can the discretization modify the performance of Schwarz methods? In: Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, 78 . Springer, CHN, pp. 117-124. ISBN 9783642113031

Dolean, Vitorita and Nataf, Frédéric and Rapin, Gerd; (2009) A domain decomposition preconditioner of neumann-neumann type for the stokes equations. In: Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering, 70 . Springer, ISR, pp. 161-168. ISBN 9783642026768

Dolean, Victorita and Nataf, Frédéric and Rapin, Gerd; (2008) How to use the smith factorization for domain decomposition methods applied to the stokes equations. In: Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, 60 . Springer, AUT, pp. 477-484. ISBN 9783540751984

Dolean, Victorita and Gander, Martin J.; (2008) Why classical schwarz methods applied to certain hyperbolic systems converge even without overlap. In: Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, 60 . Springer, AUT, pp. 467-475. ISBN 9783540751984

Dolean, Victorita and Nata, Fŕed́eric; (2008) A new domain decomposition method for the compressible euler equations using smith factorization. In: Domain Decomposition Methods in Science and Engineering XVII. Lecture Notes in Computational Science and Engineering, 60 . Springer, AUT, pp. 331-338. ISBN 9783540751984

Conference or Workshop Item

Dolean, Victorita and Jolivet, Pierre and Tournier, Pierre-Henri and Combe, Laure and Operto, Stéphane and Riffo, Sebastian (2021) Large-scale finite-difference and finite-element frequency-domain seismic wave modelling with multi-level domain-decomposition preconditioner. In: 82nd Fifth EAGE Workshop on High Performance Computing for Upstream, 2021-09-06 - 2021-09-08.

Dolean, Victorita and Jolivet, Pierre and Operto, Stéphane and Tournier, Pierre-Henri (2020) Large-scale frequency-domain seismic wave modeling on h-adaptive tetrahedral meshes with iterative solver and multi-level domain-decomposition preconditioners. In: SEG20 Annual Meeting, 2020-10-11 - 2020-10-16. (In Press)

Dolean, V. and Jolivet, P. and Tournier, P.-H. and Operto, S. (2020) Iterative frequency-domain seismic wave solvers based on multi-level domain-decomposition preconditioners. In: EAGE Annual 82nd Conference and Exhibition, 2020-12-08 - 2020-12-11.

Book

Dolean, Victorita and Jolivet, Pierre and Nataf, Frédéric (2016) An introduction to domain decomposition methods. Algorithms, theory, and parallel implementation. SIAM. ISBN 978-1-611974-05-8

Monograph

Bootland, Niall and Dolean, Victorita and Graham, Ivan G. and Ma, Chupeng and Scheichl, Robert (2021) GenEO coarse spaces for heterogeneous indefinite elliptic problems. Preprint / Working Paper. arXiv.org, Ithaca, N.Y..

Bootland, Niall and Dolean, Victorita and Jolivet, Pierre and Nataf, Frédéric and Operto, Stéphane and Tournier, Pierre-Henri (2021) Several ways to achieve robustness when solving wave propagation problems. Preprint / Working Paper. arXiv.org, Ithaca, New York. (In Press)

Bootland, N. and Dwarka, V. and Jolivet, P. and Dolean, V. and Vuik, C. (2021) Inexact subdomain solves using deflated GMRES for Helmholtz problems. Preprint / Working Paper. arXiv.org, Ithaca, N.J..

Bootland, Niall and Dolean, Victorita and Jolivet, Pierre and Tournier, Pierre-Henri (2021) A comparison of coarse spaces for Helmholtz problems in the high frequency regime. Preprint / Working Paper. arXiv.org, Ithaca, N.Y..

Bootland, N. and Dolean, V. and Nataf, F. and Tournier, P.-H. (2020) Two-level DDM preconditioners for positive Maxwell equations. Preprint / Working Paper. arXiv.org, Ithaca, N.Y..