Martin, Boris; Jolivet, Pierre; Geuzaine, Christophe (2026) Comparison of substructured non-overlapping domain decomposition and overlapping additive Schwarz methods for large-scale Helmholtz problems with multiple sources. Journal of Computational Physics, 548. doi:10.1016/j.jcp.2025.114557

References Listed

These are the references the publisher has listed as being connected to the article. Please check the article itself for the full list of references which may differ. Not all references are currently linkable within the Digital Library.

	Pratt, R. Gerhard (1999) Seismic waveform inversion in the frequency domain, Part 1: Theory and verification in a physical scale model. Geophysics, 64 (3) 888-901 doi:10.1190/1.1444597
	Mary (2017)
	R. Nies, M. Hoelzl, Testing performance with and without block low rank compression in MUMPS and the new PaStiX 6.0 for JOREK nonlinear MHD simulations, 2019. http://arxiv.org/abs/1907.13442.
	Amestoy (2025) Geophysics Fast 3D frequency-domain full waveform inversion with a parallel block low-rank multifrontal direct solver: application to OBC data from the North Sea 81
	Amestoy (2013) Rese. Rep. RR Improving multifrontal methods by means of block low-rank representations 8199
	Not Yet Imported: - journal-article : 10.1145/3242094 If you would like this item imported into the Digital Library, please contact us quoting Journal ID
	Operto, S., Amestoy, P., Aghamiry, H., Beller, S., Buttari, A., Combe, L., Dolean, V., Gerest, M., Guo, G., Jolivet, P., L'Excellent, J.-Y., Mamfoumbi, F., Mary, T., Puglisi, C., Ribodetti, A., Tournier, P.-H. (2023) Is 3D frequency-domain FWI of full-azimuth/long-offset OBN data feasible? The Gorgon data FWI case study. The Leading Edge, 42 (3) 173-183 doi:10.1190/tle42030173.1
	Not Yet Imported: - book-chapter : 10.1007/978-3-642-22061-6_10 If you would like this item imported into the Digital Library, please contact us quoting Book ID 9783642220609
	Not Yet Imported: - journal-article : 10.1190/geo2021-0702.1 If you would like this item imported into the Digital Library, please contact us quoting Journal ID
	Roux (2017) , 1
	Jolivet (2016) Block iterative methods and recycling for improved scalability of linear solvers
	Gabriel (2023)
	Not Yet Imported: Lecture Notes in Computational Science and Engineering - book-chapter : 10.1007/978-3-540-34469-8_22 If you would like this item imported into the Digital Library, please contact us quoting Book ID 9783540344681
	Gong (2022) A Variational Interpretation of Restricted Additive Schwarz with Impedance Transmission Condition for the Helmholtz Problem XXVI
	Dolean (2015)
	Benamou (1996) A Domain Decomposition Method for the Helmholtz Equation and Related Optimal Control Problems
	Nataf (2002) Interface Connections in Domain Decomposition Methods 75
	Gander, Martin J., Magoulès, Frédéric, Nataf, Frédéric (2002) Optimized Schwarz Methods without Overlap for the Helmholtz Equation. SIAM Journal on Scientific Computing, 24. 38-60 doi:10.1137/s1064827501387012
	Antoine (2017) Optimized Schwarz domain decomposition methods for scalar and vector Helmholtz equations , 189
	Karypis (1998)
	Solin (2003)
	Górszczyk, Andrzej, Operto, Stéphane (2021) GO_3D_OBS: the multi-parameter benchmark geomodel for seismic imaging method assessment and next-generation 3D survey design (version 1.0) Geoscientific Model Development, 14 (3) 1773-1799 doi:10.5194/gmd-14-1773-2021
	Després (1991)
	Not Yet Imported: - journal-article : 10.1002/nme.2579 If you would like this item imported into the Digital Library, please contact us quoting Journal ID
	Royer (2021) Gmsh-Fem: an efficient finite element library based on Gmsh
	Royer (2023)
	Balay (2025)
	Jolivet, Pierre, Roman, Jose E., Zampini, Stefano (2021) KSPHPDDM and PCHPDDM: Extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners. Computers & Mathematics with Applications, 84. 277-295 doi:10.1016/j.camwa.2021.01.003
	Not Yet Imported: SIAM Journal on Matrix Analysis and Applications - journal-article : 10.1137/S0895479899358194 If you would like this item imported into the Digital Library, please contact us quoting Journal ID
	Amestoy, Patrick R., Guermouche, Abdou, L’Excellent, Jean-Yves, Pralet, Stéphane (2006) Hybrid scheduling for the parallel solution of linear systems. Parallel Computing, 32 (2). 136-156 doi:10.1016/j.parco.2005.07.004
	Dolean (2017) XXIII
	Gander, Martin J., Zhang, Hui (2016) Optimized Schwarz Methods with Overlap for the Helmholtz Equation. SIAM Journal on Scientific Computing, 38. doi:10.1137/15m1021659
	Bootland (2024) Numerical assessment of PML Transmission Conditions in a Domain Decomposition Method for the Helmholtz equation XXVII
	Not Yet Imported: Computer Methods in Applied Mechanics and Engineering - journal-article : 10.1016/j.cma.2022.115006 If you would like this item imported into the Digital Library, please contact us quoting Journal ID
	Boubendir, Y., Antoine, X., Geuzaine, C. (2012) A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Journal of Computational Physics, 231 (2) 262-280 doi:10.1016/j.jcp.2011.08.007
	Not Yet Imported: - journal-article : 10.1016/j.cma.2020.113162 If you would like this item imported into the Digital Library, please contact us quoting Journal ID
	Métivier (2012) EAGE 2012 - 74th European Association of Geoscientists and Engineers Conference and Exhibition
	V. Dolean, M. Fry, I.G. Graham, M. Langer, Schwarz preconditioner with Hk-GenEO coarse space for the indefinite Helmholtz problem, arxiv: 2406.06283 edition, 2024.
	Bootland, Niall, Dolean, Victorita, Jolivet, Pierre, Tournier, Pierre-Henri (2021) A comparison of coarse spaces for Helmholtz problems in the high frequency regime. Computers & Mathematics with Applications, 98. 239-253 doi:10.1016/j.camwa.2021.07.011
	Conen, Lea, Dolean, Victorita, Krause, Rolf, Nataf, Frédéric (2014) A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. Journal of Computational and Applied Mathematics, 271. 83-99 doi:10.1016/j.cam.2014.03.031
	van der Vorst, H. A. (1992) Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems. SIAM Journal on Scientific and Statistical Computing, 13 (2) 631-644 doi:10.1137/0913035
	Sonneveld, Peter, van Gijzen, Martin B. (2009) IDR(s): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations. SIAM Journal on Scientific Computing, 31. 1035-1062 doi:10.1137/070685804

See Also

These are possibly similar items as determined by title/reference text matching only.

	Dai, Ruiyang, Modave, Axel, Remacle, Jean-François, Geuzaine, Christophe (2022) Multidirectional sweeping preconditioners with non-overlapping checkerboard domain decomposition for Helmholtz problems. Journal of Computational Physics, 453. 110887 doi:10.1016/j.jcp.2021.110887
	Boubendir, Y., Antoine, X., Geuzaine, C. (2012) A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation. Journal of Computational Physics, 231 (2) 262-280 doi:10.1016/j.jcp.2011.08.007
	Mattesi, V., Darbas, M., Geuzaine, C. (2020) A quasi-optimal non-overlapping domain decomposition method for two-dimensional time-harmonic elastic wave problems. Journal of Computational Physics, 401. 109050 doi:10.1016/j.jcp.2019.109050
	Jamelot, Erell, Ciarlet, Patrick (2013) Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation. Journal of Computational Physics, 241. 445-463 doi:10.1016/j.jcp.2013.01.026
	Marsic, Nicolas, Geuzaine, Christophe, De Gersem, Herbert (2023) Transmission operators for the non-overlapping Schwarz method for solving Helmholtz problems in rectangular cavities. Computers & Mathematics with Applications, 138. 37-64 doi:10.1016/j.camwa.2023.02.019
	Lee, Seung-Cheol, Vouvakis, Marinos N., Lee, Jin-Fa (2005) A non-overlapping domain decomposition method with non-matching grids for modeling large finite antenna arrays. Journal of Computational Physics, 203 (1) 1-21 doi:10.1016/j.jcp.2004.08.004
	Vion, A., Geuzaine, C. (2014) Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem. Journal of Computational Physics, 266. 171-190 doi:10.1016/j.jcp.2014.02.015
	Leng, Wei, Ju, Lili (2019) An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation. SIAM Journal on Scientific Computing, 41. doi:10.1137/18m1196170
	Heinlein, Alexander, Hochmuth, Christian, Klawonn, Axel (2019) Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Incompressible Fluid Flow Problems. SIAM Journal on Scientific Computing, 41. doi:10.1137/18m1184047
	Sunil Kumar, , Chandra Sekhara Rao, S. (2014) A robust overlapping Schwarz domain decomposition algorithm for time-dependent singularly perturbed reaction–diffusion problems. Journal of Computational and Applied Mathematics, 261. 127-138 doi:10.1016/j.cam.2013.10.053
	Kumar, Sunil, Kumar, Mukesh (2015) An analysis of overlapping domain decomposition methods for singularly perturbed reaction–diffusion problems. Journal of Computational and Applied Mathematics, 281. 250-262 doi:10.1016/j.cam.2014.12.018