Phillips, Toby R. F.; Heaney, Claire E.; Chen, Boyang; Buchan, Andrew G.; Pain, Christopher C. Solving the discretised neutron diffusion equations using neural networks. (English) Zbl 07772328 Int. J. Numer. Methods Eng. 124, No. 21, 4659-4686 (2023). MSC: 68Txx 65Nxx 65Dxx PDF BibTeX XML Cite \textit{T. R. F. Phillips} et al., Int. J. Numer. Methods Eng. 124, No. 21, 4659--4686 (2023; Zbl 07772328) Full Text: DOI arXiv OA License
Petrushov, Andrey; Krasnopolsky, Boris Automated tuning for the parameters of linear solvers. (English) Zbl 07766238 J. Comput. Phys. 494, Article ID 112533, 22 p. (2023). MSC: 65Fxx 68Txx 65Yxx PDF BibTeX XML Cite \textit{A. Petrushov} and \textit{B. Krasnopolsky}, J. Comput. Phys. 494, Article ID 112533, 22 p. (2023; Zbl 07766238) Full Text: DOI arXiv
Janna, Carlo; Franceschini, Andrea; Schroder, Jacob B.; Olson, Luke Parallel energy-minimization prolongation for algebraic multigrid. (English) Zbl 07749378 SIAM J. Sci. Comput. 45, No. 5, A2561-A2584 (2023). MSC: 65N55 68W10 65F08 65F10 65F50 65Y05 65K10 49M41 PDF BibTeX XML Cite \textit{C. Janna} et al., SIAM J. Sci. Comput. 45, No. 5, A2561--A2584 (2023; Zbl 07749378) Full Text: DOI arXiv
Badea, Lori Multilevel Uzawa and Arrow-Hurwicz algorithms for general saddle point problems. (English) Zbl 07740103 J. Optim. Theory Appl. 198, No. 2, 678-709 (2023). MSC: 65J15 49M27 49M27 65N55 PDF BibTeX XML Cite \textit{L. Badea}, J. Optim. Theory Appl. 198, No. 2, 678--709 (2023; Zbl 07740103) Full Text: DOI
Kalchev, Delyan Z.; Vassilevski, Panayot S.; Villa, Umberto Parallel element-based algebraic multigrid for \(H(\mathrm{c\underline{ur}l})\) and \(H(\operatorname{div})\) problems using the ParELAG library. (English) Zbl 1517.65126 SIAM J. Sci. Comput. 45, No. 3, S371-S400 (2023). MSC: 65N55 65F08 65F10 65N22 65N30 65Y15 PDF BibTeX XML Cite \textit{D. Z. Kalchev} et al., SIAM J. Sci. Comput. 45, No. 3, S371--S400 (2023; Zbl 1517.65126) Full Text: DOI arXiv
Avnat, Or; Yavneh, Irad On the recursive structure of multigrid cycles. (English) Zbl 1522.65240 SIAM J. Sci. Comput. 45, No. 3, S103-S126 (2023). MSC: 65N55 PDF BibTeX XML Cite \textit{O. Avnat} and \textit{I. Yavneh}, SIAM J. Sci. Comput. 45, No. 3, S103--S126 (2023; Zbl 1522.65240) Full Text: DOI arXiv
Boukhris, Siham; Napov, Artem; Notay, Yvan Algebraic multigrid using a stencil-CSR hybrid format on GPUs. (English) Zbl 1516.65119 SIAM J. Sci. Comput. 45, No. 3, C154-C178 (2023). MSC: 65N22 65N55 65F10 65Y05 65Y10 PDF BibTeX XML Cite \textit{S. Boukhris} et al., SIAM J. Sci. Comput. 45, No. 3, C154--C178 (2023; Zbl 1516.65119) Full Text: DOI
Danieli, Federico; MacLachlan, Scott Multigrid reduction in time for non-linear hyperbolic equations. (English) Zbl 1512.65191 ETNA, Electron. Trans. Numer. Anal. 58, 43-65 (2023). MSC: 65M08 35L65 65M55 65Y05 65Y20 PDF BibTeX XML Cite \textit{F. Danieli} and \textit{S. MacLachlan}, ETNA, Electron. Trans. Numer. Anal. 58, 43--65 (2023; Zbl 1512.65191) Full Text: DOI arXiv Link
May, Ian C. T.; Haynes, Ronald D.; Ruuth, Steven J. A closest point method library for PDEs on surfaces with parallel domain decomposition solvers and preconditioners. (English) Zbl 1522.65006 Numer. Algorithms 93, No. 2, 615-637 (2023). MSC: 65-04 65N55 65F08 65Y15 PDF BibTeX XML Cite \textit{I. C. T. May} et al., Numer. Algorithms 93, No. 2, 615--637 (2023; Zbl 1522.65006) Full Text: DOI arXiv
Antonietti, Paola F.; Berrone, Stefano; Busetto, Martina; Verani, Marco Agglomeration-based geometric multigrid schemes for the virtual element method. (English) Zbl 1512.65290 SIAM J. Numer. Anal. 61, No. 1, 223-249 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N55 65N50 65N30 65N22 65N12 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., SIAM J. Numer. Anal. 61, No. 1, 223--249 (2023; Zbl 1512.65290) Full Text: DOI arXiv
Becker, Roland; Gantner, Gregor; Innerberger, Michael; Praetorius, Dirk Goal-oriented adaptive finite element methods with optimal computational complexity. (English) Zbl 1510.65292 Numer. Math. 153, No. 1, 111-140 (2023). MSC: 65N30 65N50 65N55 65F08 65N15 65N12 65Y20 41A25 65N22 PDF BibTeX XML Cite \textit{R. Becker} et al., Numer. Math. 153, No. 1, 111--140 (2023; Zbl 1510.65292) Full Text: DOI arXiv
Chang, Jingmei; Jing, Naihuan; Zhang, Tinggui Criteria for SLOCC and LU equivalence of generic multi-qudit states. (English) Zbl 1517.81029 Int. J. Theor. Phys. 62, No. 1, Paper No. 6, 14 p. (2023). MSC: 81P45 81P15 81P68 81T32 65M55 81P16 68Q12 PDF BibTeX XML Cite \textit{J. Chang} et al., Int. J. Theor. Phys. 62, No. 1, Paper No. 6, 14 p. (2023; Zbl 1517.81029) Full Text: DOI arXiv
Shapeev, Vasiliĭ Pavlovich; Bryndin, Luka Sergeevich; Belyaev, Vasiliĭ Alekseevich The \(hp\)-version of the least-squares collocation method with integral collocation for solving a biharmonic equation. (Russian. English summary) Zbl 1513.65487 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 26, No. 3, 556-572 (2022). MSC: 65N35 65K10 65M50 65F08 65F10 65F20 65M12 31A30 35J48 74K10 PDF BibTeX XML Cite \textit{V. P. Shapeev} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 26, No. 3, 556--572 (2022; Zbl 1513.65487) Full Text: DOI MNR
Zhou, Weixing; Martynenko, Sergey Robust one/two-grid solver for black-box software in the computational continuum mechanics. (English) Zbl 1500.65105 Badriev, Ildar B. (ed.) et al., Mesh methods for boundary-value problems and applications. 13th international conference, Kazan, Russia, October 20–25, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 141, 597-608 (2022). MSC: 65N55 65N50 65Y20 65-04 PDF BibTeX XML Cite \textit{W. Zhou} and \textit{S. Martynenko}, Lect. Notes Comput. Sci. Eng. 141, 597--608 (2022; Zbl 1500.65105) Full Text: DOI
Moldovan, G.; Lehnasch, G.; Cordier, L.; Meldi, M. Optimized parametric inference for the inner loop of the multigrid ensemble Kalman filter. (English) Zbl 07605592 J. Comput. Phys. 471, Article ID 111621, 23 p. (2022). MSC: 76Fxx 65Cxx 76Mxx PDF BibTeX XML Cite \textit{G. Moldovan} et al., J. Comput. Phys. 471, Article ID 111621, 23 p. (2022; Zbl 07605592) Full Text: DOI arXiv
Foadaddini, Ali; Zolfaghari, Seyed Alireza; Mahmoodi Darian, Hossein; Saadatfar, Hamid A new GPU-based corrected explicit-implicit domain decomposition scheme for convection-dominated diffusion problems. (English) Zbl 07595284 Comput. Math. Appl. 123, 184-203 (2022). MSC: 65M55 65M06 65M12 65Y05 65M15 76R50 65Y10 26A33 65F05 PDF BibTeX XML Cite \textit{A. Foadaddini} et al., Comput. Math. Appl. 123, 184--203 (2022; Zbl 07595284) Full Text: DOI
Abdeselam, Abdeselam El Haman; Napov, Artem; Notay, Yvan Porting an aggregation-based algebraic multigrid method to GPUs. (English) Zbl 1495.65029 ETNA, Electron. Trans. Numer. Anal. 55, 687-705 (2022). MSC: 65F10 65N22 65Y05 65Y10 PDF BibTeX XML Cite \textit{A. E. H. Abdeselam} et al., ETNA, Electron. Trans. Numer. Anal. 55, 687--705 (2022; Zbl 1495.65029) Full Text: DOI Link
Ho, Chin Pang; Kočvara, Michal; Parpas, Panos Newton-type multilevel optimization method. (English) Zbl 1501.90094 Optim. Methods Softw. 37, No. 1, 45-78 (2022). MSC: 90C30 90C53 PDF BibTeX XML Cite \textit{C. P. Ho} et al., Optim. Methods Softw. 37, No. 1, 45--78 (2022; Zbl 1501.90094) Full Text: DOI arXiv
Dostál, Zdeněk; Horák, David; Kružík, Jakub; Brzobohatý, Tomáš; Vlach, Oldřich Highly scalable hybrid domain decomposition method for the solution of huge scalar variational inequalities. (English) Zbl 1502.65198 Numer. Algorithms 91, No. 2, 773-801 (2022). MSC: 65N30 65N55 65N50 65K15 65Y05 35J86 49M41 PDF BibTeX XML Cite \textit{Z. Dostál} et al., Numer. Algorithms 91, No. 2, 773--801 (2022; Zbl 1502.65198) Full Text: DOI
Widlund, Olof B.; Scacchi, Simone; Pavarino, Luca F. BDDC deluxe algorithms for two-dimensional \(H(\operatorname{curl})\) isogeometric analysis. (English) Zbl 1503.65302 SIAM J. Sci. Comput. 44, No. 4, A2349-A2369 (2022). MSC: 65N30 65N55 65F08 65F10 78M10 PDF BibTeX XML Cite \textit{O. B. Widlund} et al., SIAM J. Sci. Comput. 44, No. 4, A2349--A2369 (2022; Zbl 1503.65302) Full Text: DOI
Li, Qingtao; Du, Guangzhi Local and parallel finite element methods based on two-grid discretizations for a transient coupled Navier-Stokes/Darcy model. (English) Zbl 1502.65132 J. Sci. Comput. 92, No. 3, Paper No. 76, 35 p. (2022). MSC: 65M60 65M06 65N30 65N55 65M12 65M15 76D05 76S05 76M10 76M20 35Q30 PDF BibTeX XML Cite \textit{Q. Li} and \textit{G. Du}, J. Sci. Comput. 92, No. 3, Paper No. 76, 35 p. (2022; Zbl 1502.65132) Full Text: DOI
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver; Widlund, Olof B. Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. (English) Zbl 1492.65344 SIAM J. Sci. Comput. 44, No. 3, A1176-A1204 (2022). MSC: 65N55 65F08 65F10 68W10 PDF BibTeX XML Cite \textit{A. Heinlein} et al., SIAM J. Sci. Comput. 44, No. 3, A1176--A1204 (2022; Zbl 1492.65344) Full Text: DOI
Chen, Jie; Saad, Yousef; Zhang, Zechen Graph coarsening: from scientific computing to machine learning. (English) Zbl 1484.65322 S\(\vec{\text{e}}\)MA J. 79, No. 1, 187-223 (2022). MSC: 65N55 65F10 68T05 05C85 94C15 PDF BibTeX XML Cite \textit{J. Chen} et al., S\(\vec{\text{e}}\)MA J. 79, No. 1, 187--223 (2022; Zbl 1484.65322) Full Text: DOI arXiv
Liu, Jun; Wang, Xiang-Sheng; Wu, Shu-Lin; Zhou, Tao A well-conditioned direct pint algorithm for first- and second-order evolutionary equations. (English) Zbl 07506441 Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022). MSC: 65M55 65M12 65M15 65M06 65N06 65F05 15B05 65Y05 PDF BibTeX XML Cite \textit{J. Liu} et al., Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022; Zbl 07506441) Full Text: DOI arXiv
Bergmann, Michel; Carlino, Michele Giuliano; Iollo, Angelo Second order ADER scheme for unsteady advection-diffusion on moving overset grids with a compact transmission condition. (English) Zbl 1489.65127 SIAM J. Sci. Comput. 44, No. 1, A524-A553 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M60 65M55 65M50 65Y99 35K20 35K55 PDF BibTeX XML Cite \textit{M. Bergmann} et al., SIAM J. Sci. Comput. 44, No. 1, A524--A553 (2022; Zbl 1489.65127) Full Text: DOI
Hong, Sumin; Jang, Ganghee; Jeong, Won-Ki MG-FIM: a multi-GPU fast iterative method using adaptive domain decomposition. (English) Zbl 1507.65225 SIAM J. Sci. Comput. 44, No. 1, C54-C76 (2022). MSC: 65N22 65N55 65Y05 65Y10 PDF BibTeX XML Cite \textit{S. Hong} et al., SIAM J. Sci. Comput. 44, No. 1, C54--C76 (2022; Zbl 1507.65225) Full Text: DOI
Bootland, Niall; Dolean, Victorita; Kyriakis, Alexander; Pestana, Jennifer Analysis of parallel Schwarz algorithms for time-harmonic problems using block Toeplitz matrices. (English) Zbl 1478.65139 ETNA, Electron. Trans. Numer. Anal. 55, 112-141 (2022). MSC: 65N55 65N35 65F10 15A18 15B05 PDF BibTeX XML Cite \textit{N. Bootland} et al., ETNA, Electron. Trans. Numer. Anal. 55, 112--141 (2022; Zbl 1478.65139) Full Text: DOI arXiv Link
Hannukainen, Antti; Malinen, Jarmo; Ojalammi, Antti Distributed solution of Laplacian eigenvalue problems. (English) Zbl 1500.65094 SIAM J. Numer. Anal. 60, No. 1, 76-103 (2022). MSC: 65N25 65N55 65N30 65F15 65Y10 PDF BibTeX XML Cite \textit{A. Hannukainen} et al., SIAM J. Numer. Anal. 60, No. 1, 76--103 (2022; Zbl 1500.65094) Full Text: DOI arXiv
Buvoli, Tommaso; Minion, Michael IMEX Runge-Kutta parareal for non-diffusive equations. (English) Zbl 1509.65064 Ong, Benjamin (ed.) et al., Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8–12, 2020. Cham: Springer. Springer Proc. Math. Stat. 356, 95-127 (2021). MSC: 65L06 65Y05 65Y20 65M12 65M55 PDF BibTeX XML Cite \textit{T. Buvoli} and \textit{M. Minion}, Springer Proc. Math. Stat. 356, 95--127 (2021; Zbl 1509.65064) Full Text: DOI arXiv
van Venetië, Raymond; Westerdiep, Jan A parallel algorithm for solving linear parabolic evolution equations. (English) Zbl 1512.65220 Ong, Benjamin (ed.) et al., Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8–12, 2020. Cham: Springer. Springer Proc. Math. Stat. 356, 33-50 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M55 65L06 65N30 65T60 65F08 65Y05 65Y20 65M12 65M15 35D30 35K85 PDF BibTeX XML Cite \textit{R. van Venetië} and \textit{J. Westerdiep}, Springer Proc. Math. Stat. 356, 33--50 (2021; Zbl 1512.65220) Full Text: DOI arXiv
Zheng, Chunxiong; Ma, Xiang Fast algorithm for the three-dimensional Poisson equation in infinite domains. (English) Zbl 1511.65133 IMA J. Numer. Anal. 41, No. 4, 3024-3045 (2021). MSC: 65N30 65N55 65F10 65N15 41A50 35J15 PDF BibTeX XML Cite \textit{C. Zheng} and \textit{X. Ma}, IMA J. Numer. Anal. 41, No. 4, 3024--3045 (2021; Zbl 1511.65133) Full Text: DOI
Dahlke, Stephan; Friedrich, Ulrich; Keding, Philipp; Sieber, Alexander; Raasch, Thorsten Adaptive quarkonial domain decomposition methods for elliptic partial differential equations. (English) Zbl 1511.65138 IMA J. Numer. Anal. 41, No. 4, 2608-2638 (2021). MSC: 65N55 65T60 65N50 65F50 PDF BibTeX XML Cite \textit{S. Dahlke} et al., IMA J. Numer. Anal. 41, No. 4, 2608--2638 (2021; Zbl 1511.65138) Full Text: DOI
Siebenborn, Martin; Wagner, Julian A multigrid preconditioner for tensor product spline smoothing. (English) Zbl 1505.62377 Comput. Stat. 36, No. 4, 2379-2411 (2021). MSC: 62-08 62G08 PDF BibTeX XML Cite \textit{M. Siebenborn} and \textit{J. Wagner}, Comput. Stat. 36, No. 4, 2379--2411 (2021; Zbl 1505.62377) Full Text: DOI arXiv
Ong, Benjamin (ed.); Schroder, Jacob (ed.); Shipton, Jemma (ed.); Friedhoff, Stephanie (ed.) Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8–12, 2020. (English) Zbl 1483.65009 Springer Proceedings in Mathematics & Statistics 356. Cham: Springer (ISBN 978-3-030-75932-2/hbk; 978-3-030-75933-9/ebook). ix, 127 p. (2021). MSC: 65-06 65Y05 65Y20 65L06 65M12 65M55 00B25 PDF BibTeX XML Cite \textit{B. Ong} (ed.) et al., Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8--12, 2020. Cham: Springer (2021; Zbl 1483.65009) Full Text: DOI
Alt, Tobias; Peter, Pascal; Weickert, Joachim; Schrader, Karl Translating numerical concepts for PDEs into neural architectures. (English) Zbl 1501.65059 Elmoataz, Abderrahim (ed.) et al., Scale space and variational methods in computer vision. 8th international conference, SSVM 2021, virtual event, May 16–20, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12679, 294-306 (2021). MSC: 65M55 68T07 65M06 65B05 35B35 PDF BibTeX XML Cite \textit{T. Alt} et al., Lect. Notes Comput. Sci. 12679, 294--306 (2021; Zbl 1501.65059) Full Text: DOI arXiv
Il’in, V. P. Iterative preconditioned methods in Krylov spaces: trends of the 21st century. (English. Russian original) Zbl 1485.65032 Comput. Math. Math. Phys. 61, No. 11, 1750-1775 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1786-1813 (2021). MSC: 65F10 65F08 65-02 PDF BibTeX XML Cite \textit{V. P. Il'in}, Comput. Math. Math. Phys. 61, No. 11, 1750--1775 (2021; Zbl 1485.65032); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1786--1813 (2021) Full Text: DOI
Li, Qingtao; Du, Guangzhi Local and parallel finite element methods based on two-grid discretizations for the nonstationary Navier-Stokes equations. (English) Zbl 1502.65103 Numer. Algorithms 88, No. 4, 1915-1936 (2021). MSC: 65M55 65M60 65M06 65N30 65M15 65Y05 35B45 76D05 35Q30 PDF BibTeX XML Cite \textit{Q. Li} and \textit{G. Du}, Numer. Algorithms 88, No. 4, 1915--1936 (2021; Zbl 1502.65103) Full Text: DOI
Chaudhry, Jehanzeb H.; Estep, Donald; Tavener, Simon J. A posteriori error analysis for Schwarz overlapping domain decomposition methods. (English) Zbl 1492.65342 BIT 61, No. 4, 1153-1191 (2021). MSC: 65N55 65N06 65N50 65N15 65Y05 68W10 PDF BibTeX XML Cite \textit{J. H. Chaudhry} et al., BIT 61, No. 4, 1153--1191 (2021; Zbl 1492.65342) Full Text: DOI arXiv
Donatelli, Marco; Krause, Rolf; Mazza, Mariarosa; Trotti, Ken All-at-once multigrid approaches for one-dimensional space-fractional diffusion equations. (English) Zbl 07420291 Calcolo 58, No. 4, Paper No. 45, 25 p. (2021). MSC: 65-XX 35R11 15B05 65F15 68W10 65N55 PDF BibTeX XML Cite \textit{M. Donatelli} et al., Calcolo 58, No. 4, Paper No. 45, 25 p. (2021; Zbl 07420291) Full Text: DOI
Witte, Julius; Arndt, Daniel; Kanschat, Guido Fast tensor product Schwarz smoothers for high-order discontinuous Galerkin methods. (English) Zbl 1473.65344 Comput. Methods Appl. Math. 21, No. 3, 709-728 (2021). MSC: 65N55 65N30 65Y20 PDF BibTeX XML Cite \textit{J. Witte} et al., Comput. Methods Appl. Math. 21, No. 3, 709--728 (2021; Zbl 1473.65344) Full Text: DOI arXiv
Isotton, Giovanni; Frigo, Matteo; Spiezia, Nicolò; Janna, Carlo Chronos: a general purpose classical AMG solver for high performance computing. (English) Zbl 1487.65032 SIAM J. Sci. Comput. 43, No. 5, C335-C357 (2021). MSC: 65F08 65F10 65F50 65N55 65Y05 68W10 PDF BibTeX XML Cite \textit{G. Isotton} et al., SIAM J. Sci. Comput. 43, No. 5, C335--C357 (2021; Zbl 1487.65032) Full Text: DOI arXiv
Schneck, Jakob; Weiser, Martin; Wende, Florian Impact of mixed precision and storage layout on additive Schwarz smoothers. (English) Zbl 07396249 Numer. Linear Algebra Appl. 28, No. 4, e2366, 22 p. (2021). MSC: 65N55 65Y10 65Y20 PDF BibTeX XML Cite \textit{J. Schneck} et al., Numer. Linear Algebra Appl. 28, No. 4, e2366, 22 p. (2021; Zbl 07396249) Full Text: DOI
Ding, Qi; Zheng, Bo; Shang, Yueqiang Local and parallel finite element algorithms for the time-dependent Oseen equations. (English) Zbl 1475.35228 Numer. Algorithms 87, No. 4, 1653-1677 (2021). MSC: 35Q30 65M15 65N55 65N50 65M60 65M06 65N30 76D07 35B45 65Y05 PDF BibTeX XML Cite \textit{Q. Ding} et al., Numer. Algorithms 87, No. 4, 1653--1677 (2021; Zbl 1475.35228) Full Text: DOI
Schäfer, Florian; Katzfuss, Matthias; Owhadi, Houman Sparse Cholesky factorization by Kullback-Leibler minimization. (English) Zbl 07364386 SIAM J. Sci. Comput. 43, No. 3, A2019-A2046 (2021). MSC: 65F30 42C40 65F50 65N55 65N75 60G42 68W40 PDF BibTeX XML Cite \textit{F. Schäfer} et al., SIAM J. Sci. Comput. 43, No. 3, A2019--A2046 (2021; Zbl 07364386) Full Text: DOI arXiv
Badia, Santiago; Martín, Alberto F.; Neiva, Eric; Verdugo, Francesc The aggregated unfitted finite element method on parallel tree-based adaptive meshes. (English) Zbl 1472.65141 SIAM J. Sci. Comput. 43, No. 3, C203-C234 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65N50 65Y05 65Y20 PDF BibTeX XML Cite \textit{S. Badia} et al., SIAM J. Sci. Comput. 43, No. 3, C203--C234 (2021; Zbl 1472.65141) Full Text: DOI arXiv
Gander, Martin J.; Liu, Yongxiang Is there more than one Dirichlet-Neumann algorithm for the biharmonic problem? (English) Zbl 1477.65259 SIAM J. Sci. Comput. 43, No. 3, A1881-A1906 (2021). MSC: 65N55 31A30 PDF BibTeX XML Cite \textit{M. J. Gander} and \textit{Y. Liu}, SIAM J. Sci. Comput. 43, No. 3, A1881--A1906 (2021; Zbl 1477.65259) Full Text: DOI
Mitchell, Wayne B.; Strzodka, Robert; Falgout, Robert D. Parallel performance of algebraic multigrid domain decomposition. (English) Zbl 07361110 Numer. Linear Algebra Appl. 28, No. 3, e2342, 24 p. (2021). MSC: 65N55 65Y05 PDF BibTeX XML Cite \textit{W. B. Mitchell} et al., Numer. Linear Algebra Appl. 28, No. 3, e2342, 24 p. (2021; Zbl 07361110) Full Text: DOI arXiv
Buhr, Andreas; Iapichino, Laura; Ohlberger, Mario; Rave, Stephan; Schindler, Felix; Smetana, Kathrin Localized model reduction for parameterized problems. (English) Zbl 07358914 Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245-305 (2021). MSC: 65N30 65N55 65N15 35J20 35J25 65Y15 PDF BibTeX XML Cite \textit{A. Buhr} et al., in: Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245--305 (2021; Zbl 07358914) Full Text: DOI arXiv
Li, Yukun; Zhang, Yi Analysis of adaptive two-grid finite element algorithms for linear and nonlinear problems. (English) Zbl 1475.65214 SIAM J. Sci. Comput. 43, No. 2, A908-A928 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N55 65N50 65N30 65N12 65N15 65N22 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Y. Zhang}, SIAM J. Sci. Comput. 43, No. 2, A908--A928 (2021; Zbl 1475.65214) Full Text: DOI arXiv
Khachkova, Tatyana; Lisitsa, Vadim; Reshetova, Galina; Tcheverda, Vladimir GPU-based algorithm for evaluating the electrical resistivity of digital rocks. (English) Zbl 07308011 Comput. Math. Appl. 82, 200-211 (2021). MSC: 65N06 65F10 65N55 65Y10 65T50 65F10 65F08 65F05 78A30 78M20 74L10 35Q60 35Q74 PDF BibTeX XML Cite \textit{T. Khachkova} et al., Comput. Math. Appl. 82, 200--211 (2021; Zbl 07308011) Full Text: DOI
Christlieb, Andrew J.; Guthrey, Pierson T.; Sands, William A.; Thavappiragasm, Mathialakan Parallel algorithms for successive convolution. (English) Zbl 1458.65122 J. Sci. Comput. 86, No. 1, Paper No. 1, 44 p. (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M55 65M20 65Y05 65R20 PDF BibTeX XML Cite \textit{A. J. Christlieb} et al., J. Sci. Comput. 86, No. 1, Paper No. 1, 44 p. (2021; Zbl 1458.65122) Full Text: DOI arXiv
Anderson, Robert; Andrej, Julian; Barker, Andrew; Bramwell, Jamie; Camier, Jean-Sylvain; Cerveny, Jakub; Dobrev, Veselin; Dudouit, Yohann; Fisher, Aaron; Kolev, Tzanio; Pazner, Will; Stowell, Mark; Tomov, Vladimir; Akkerman, Ido; Dahm, Johann; Medina, David; Zampini, Stefano MFEM: a modular finite element methods library. (English) Zbl 07288706 Comput. Math. Appl. 81, 42-74 (2021). MSC: 65-04 65N30 65N55 65N50 74S05 76M10 65Y05 65Y10 65M60 65L06 65N25 65M06 PDF BibTeX XML Cite \textit{R. Anderson} et al., Comput. Math. Appl. 81, 42--74 (2021; Zbl 07288706) Full Text: DOI arXiv
Xing, F. New optimized Schwarz algorithms for one dimensional Schrödinger equation with general potential. (English) Zbl 1456.65177 J. Comput. Appl. Math. 383, Article ID 113018, 12 p. (2021). MSC: 65N55 65M55 65M06 65F05 65F08 65F10 65Y05 35Q55 PDF BibTeX XML Cite \textit{F. Xing}, J. Comput. Appl. Math. 383, Article ID 113018, 12 p. (2021; Zbl 1456.65177) Full Text: DOI arXiv
Nachaoui, A.; Nachaoui, M.; Chakib, A.; Hilal, M. A. Some novel numerical techniques for an inverse Cauchy problem. (English) Zbl 1446.65151 J. Comput. Appl. Math. 381, Article ID 113030, 20 p. (2021). MSC: 65N21 65N20 65N55 65J20 47H11 65N30 PDF BibTeX XML Cite \textit{A. Nachaoui} et al., J. Comput. Appl. Math. 381, Article ID 113030, 20 p. (2021; Zbl 1446.65151) Full Text: DOI
Peng, Jie; Shu, Shi; Wang, Junxian; Zhong, Liuqiang Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems. (English) Zbl 1446.65178 J. Comput. Appl. Math. 381, Article ID 113011, 21 p. (2021). MSC: 65N30 65F10 65N55 65N50 35J05 35J20 PDF BibTeX XML Cite \textit{J. Peng} et al., J. Comput. Appl. Math. 381, Article ID 113011, 21 p. (2021; Zbl 1446.65178) Full Text: DOI arXiv
Glusa, Christian; Boman, Erik G.; Chow, Edmond; Rajamanickam, Sivasankaran; Ramanan, Paritosh Asynchronous one-level and two-level domain decomposition solvers. (English) Zbl 1509.65135 Haynes, Ronald (ed.) et al., Domain decomposition methods in science and engineering XXV. Selected papers based on the presentations at the 25th international conference on domain decomposition methods, Memorial University of Newfoundland, in St. John’s, Newfoundland and Labrador, Canada, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 138, 134-142 (2020). MSC: 65N55 65Y05 65F08 65F10 68W10 68W15 65-04 PDF BibTeX XML Cite \textit{C. Glusa} et al., Lect. Notes Comput. Sci. Eng. 138, 134--142 (2020; Zbl 1509.65135) Full Text: DOI arXiv
Houzeaux, G.; Garcia-Gasulla, M.; Cajas, J. C.; Borrell, R.; Santiago, A.; Moulinec, C.; Vázquez, M. Parallel multiphysics coupling: algorithmic and computational performances. (English) Zbl 1483.76048 Int. J. Comput. Fluid Dyn. 34, No. 7-8, 486-507 (2020). MSC: 76M99 65N55 65Y10 PDF BibTeX XML Cite \textit{G. Houzeaux} et al., Int. J. Comput. Fluid Dyn. 34, No. 7--8, 486--507 (2020; Zbl 1483.76048) Full Text: DOI
Foadaddini, Ali; Zolfaghari, Seyed Alireza; Darian, Hossein Mahmoodi; Saadatfar, Hamid An efficient GPU-based fractional-step domain decomposition scheme for the reaction-diffusion equation. (English) Zbl 1476.65229 Comput. Appl. Math. 39, No. 4, Paper No. 305, 35 p. (2020). MSC: 65M55 65M06 65Y05 65Y20 PDF BibTeX XML Cite \textit{A. Foadaddini} et al., Comput. Appl. Math. 39, No. 4, Paper No. 305, 35 p. (2020; Zbl 1476.65229) Full Text: DOI
Köstler, Harald; Heisig, Marco; Kohl, Nils; Kuckuk, Sebastian; Bauer, Martin; Rüde, Ulrich Code generation approaches for parallel geometric multigrid solvers. (English) Zbl 1488.68018 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 28, No. 3, 123-152 (2020). MSC: 68N99 65N55 65Y10 PDF BibTeX XML Cite \textit{H. Köstler} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 28, No. 3, 123--152 (2020; Zbl 1488.68018) Full Text: DOI
Glusa, Christian; Boman, Erik G.; Chow, Edmond; Rajamanickam, Sivasankaran; Szyld, Daniel B. Scalable asynchronous domain decomposition solvers. (English) Zbl 1461.65257 SIAM J. Sci. Comput. 42, No. 6, C384-C409 (2020). MSC: 65N55 65Y05 68W10 68W15 PDF BibTeX XML Cite \textit{C. Glusa} et al., SIAM J. Sci. Comput. 42, No. 6, C384--C409 (2020; Zbl 1461.65257) Full Text: DOI
Drzisga, Daniel; Rüde, Ulrich; Wohlmuth, Barbara Stencil scaling for vector-valued PDEs on hybrid grids with applications to generalized Newtonian fluids. (English) Zbl 1508.65157 SIAM J. Sci. Comput. 42, No. 6, B1429-B1461 (2020). MSC: 65N30 65N55 65Y05 65Y20 76D07 76D05 74B10 PDF BibTeX XML Cite \textit{D. Drzisga} et al., SIAM J. Sci. Comput. 42, No. 6, B1429--B1461 (2020; Zbl 1508.65157) Full Text: DOI arXiv
Wang, Jianyun; Jin, Jicheng; Tian, Zhikun Two-grid finite element method with Crank-Nicolson fully discrete scheme for the time-dependent Schrödinger equation. (English) Zbl 1463.65281 Numer. Math., Theory Methods Appl. 13, No. 2, 334-352 (2020). MSC: 65M55 65M60 65M15 65M12 65M06 65N30 35J05 PDF BibTeX XML Cite \textit{J. Wang} et al., Numer. Math., Theory Methods Appl. 13, No. 2, 334--352 (2020; Zbl 1463.65281) Full Text: DOI
Vorozhtsov, Evgeniĭ Vasil’evich; Shapeev, Vasiliĭ Pavlovich A divergence-free method of collocations and least squares for the computation of incompressible fluid flows and its efficient implementation. (Russian. English summary) Zbl 1463.76020 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 3, 542-573 (2020). MSC: 76D05 76D17 76G25 76M22 76M30 PDF BibTeX XML Cite \textit{E. V. Vorozhtsov} and \textit{V. P. Shapeev}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 24, No. 3, 542--573 (2020; Zbl 1463.76020) Full Text: DOI MNR
Bacuta, Constantin; Jacavage, Jacob Least squares preconditioning for mixed methods with nonconforming trial spaces. (English) Zbl 1465.65124 Appl. Anal. 99, No. 16, 2755-2775 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N22 65N55 65F10 65K10 PDF BibTeX XML Cite \textit{C. Bacuta} and \textit{J. Jacavage}, Appl. Anal. 99, No. 16, 2755--2775 (2020; Zbl 1465.65124) Full Text: DOI
Bachmayr, Markus; Kazeev, Vladimir Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs. (English) Zbl 1454.65160 Found. Comput. Math. 20, No. 5, 1175-1236 (2020). MSC: 65N30 65N55 65N12 65F08 65F10 65F35 65Y20 15A69 35J25 PDF BibTeX XML Cite \textit{M. Bachmayr} and \textit{V. Kazeev}, Found. Comput. Math. 20, No. 5, 1175--1236 (2020; Zbl 1454.65160) Full Text: DOI arXiv
Brunet, R.; Dolean, V.; Gander, M. J. Natural domain decomposition algorithms for the solution of time-harmonic elastic waves. (English) Zbl 1452.65385 SIAM J. Sci. Comput. 42, No. 5, A3313-A3339 (2020). MSC: 65N55 65F08 65F10 65N12 65Y20 65Z05 PDF BibTeX XML Cite \textit{R. Brunet} et al., SIAM J. Sci. Comput. 42, No. 5, A3313--A3339 (2020; Zbl 1452.65385) Full Text: DOI arXiv
Demidov, D.; Rossi, R. Subdomain deflation combined with local AMG: a case study using AMGCL library. (English) Zbl 1451.65053 Lobachevskii J. Math. 41, No. 4, 491-511 (2020). MSC: 65F50 65F10 65Y10 PDF BibTeX XML Cite \textit{D. Demidov} and \textit{R. Rossi}, Lobachevskii J. Math. 41, No. 4, 491--511 (2020; Zbl 1451.65053) Full Text: DOI arXiv
Agoshkov, V. I. New technique for formulation of domain decomposition algorithms. (English. Russian original) Zbl 1466.49033 Comput. Math. Math. Phys. 60, No. 3, 353-369 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 351-368 (2020). Reviewer: Andreas Mang (Houston) MSC: 49N45 65M55 35R30 49J20 PDF BibTeX XML Cite \textit{V. I. Agoshkov}, Comput. Math. Math. Phys. 60, No. 3, 353--369 (2020; Zbl 1466.49033); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 351--368 (2020) Full Text: DOI
Fehn, Niklas; Munch, Peter; Wall, Wolfgang A.; Kronbichler, Martin Hybrid multigrid methods for high-order discontinuous Galerkin discretizations. (English) Zbl 1440.65135 J. Comput. Phys. 415, Article ID 109538, 29 p. (2020). MSC: 65M60 65M55 35J05 PDF BibTeX XML Cite \textit{N. Fehn} et al., J. Comput. Phys. 415, Article ID 109538, 29 p. (2020; Zbl 1440.65135) Full Text: DOI arXiv
Deuflhard, Peter; Weiser, Martin Numerical mathematics 3: Adaptive numerical solution of partial differential equations. 2nd expanded edition. (Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen.) (German) Zbl 1451.65002 De Gruyter Studium. Berlin: De Gruyter (ISBN 978-3-11-069168-9/pbk; 978-3-11-068965-5/ebook). xvi, 456 p. (2020). MSC: 65-01 65N22 65M22 65M15 65M60 65N15 65N30 65N12 65F05 65F08 65N55 65N50 65N06 65N35 65Y15 35J05 35J60 35L05 35Q41 35Q30 35Q61 PDF BibTeX XML Cite \textit{P. Deuflhard} and \textit{M. Weiser}, Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen. 2nd expanded edition. Berlin: De Gruyter (2020; Zbl 1451.65002) Full Text: DOI
Ding, Chensen; Deokar, Rohit R.; Lian, Haojie; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. (English) Zbl 1441.74301 Comput. Methods Appl. Mech. Eng. 359, Article ID 112753, 25 p. (2020). MSC: 74S99 65N55 74E30 PDF BibTeX XML Cite \textit{C. Ding} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112753, 25 p. (2020; Zbl 1441.74301) Full Text: DOI
Gratien, Jean-Marc A robust and scalable multi-level domain decomposition preconditioner for multi-core architecture with large number of cores. (English) Zbl 1503.65308 J. Comput. Appl. Math. 373, Article ID 112614, 17 p. (2020). MSC: 65N55 65F08 65Y10 PDF BibTeX XML Cite \textit{J.-M. Gratien}, J. Comput. Appl. Math. 373, Article ID 112614, 17 p. (2020; Zbl 1503.65308) Full Text: DOI
El Haddad, Mireille; Garay, José C.; Magoulès, Frédéric; Szyld, Daniel B. Synchronous and asynchronous optimized Schwarz methods for one-way subdivision of bounded domains. (English) Zbl 07177904 Numer. Linear Algebra Appl. 27, No. 2, e2279, 30 p. (2020). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65F10 65N22 65N55 68W10 15A06 PDF BibTeX XML Cite \textit{M. El Haddad} et al., Numer. Linear Algebra Appl. 27, No. 2, e2279, 30 p. (2020; Zbl 07177904) Full Text: DOI
Kashefi, Ali A coarse grid projection method for accelerating free and forced convection heat transfer computations. (English) Zbl 1434.35056 Result. Math. 75, No. 1, Paper No. 33, 24 p. (2020). MSC: 35Q30 65Y20 65N30 65N55 65M06 76D05 76R05 76R10 80A19 PDF BibTeX XML Cite \textit{A. Kashefi}, Result. Math. 75, No. 1, Paper No. 33, 24 p. (2020; Zbl 1434.35056) Full Text: DOI arXiv
Calvo, Juan G. A new coarse space for overlapping Schwarz algorithms for H(curl) problems in three dimensions with irregular subdomains. (English) Zbl 1434.78025 Numer. Algorithms 83, No. 3, 885-899 (2020). MSC: 78M10 35Q60 65F10 65N30 65N55 78A25 35R05 35R60 65F08 65F35 PDF BibTeX XML Cite \textit{J. G. Calvo}, Numer. Algorithms 83, No. 3, 885--899 (2020; Zbl 1434.78025) Full Text: DOI
Becerra-Sagredo, Julián-Tercero; Málaga, Carlos; Mandujano, Francisco A GPU-based multi-level algorithm for boundary value problems. (English) Zbl 1433.78028 J. Comput. Appl. Math. 368, Article ID 112481, 11 p. (2020). MSC: 78M20 78A30 35J05 35Q60 65N06 65N55 65Y10 65D05 PDF BibTeX XML Cite \textit{J.-T. Becerra-Sagredo} et al., J. Comput. Appl. Math. 368, Article ID 112481, 11 p. (2020; Zbl 1433.78028) Full Text: DOI arXiv
Kashefi, Ali Coarse grid projection methodology: a partial mesh refinement tool for incompressible flow simulations. (English) Zbl 1432.35163 Bull. Iran. Math. Soc. 46, No. 1, 177-181 (2020). MSC: 35Q30 65Y20 65N30 65N55 76N99 76D05 PDF BibTeX XML Cite \textit{A. Kashefi}, Bull. Iran. Math. Soc. 46, No. 1, 177--181 (2020; Zbl 1432.35163) Full Text: DOI arXiv
Griebel, Michael; Oswald, Peter Stochastic subspace correction methods and fault tolerance. (English) Zbl 1436.65013 Math. Comput. 89, No. 321, 279-312 (2020). MSC: 65C30 65N22 65N55 65Y05 68W20 PDF BibTeX XML Cite \textit{M. Griebel} and \textit{P. Oswald}, Math. Comput. 89, No. 321, 279--312 (2020; Zbl 1436.65013) Full Text: DOI arXiv
Abdullahi Hassan, Ambra; Cardellini, Valeria; D’Ambra, Pasqua; di Serafino, Daniela; Filippone, Salvatore Efficient algebraic multigrid preconditioners on clusters of GPUs. (English) Zbl 1492.65075 Parallel Process. Lett. 29, No. 1, Article ID 1950001, 15 p. (2019). MSC: 65F10 65F08 65Y10 PDF BibTeX XML Cite \textit{A. Abdullahi Hassan} et al., Parallel Process. Lett. 29, No. 1, Article ID 1950001, 15 p. (2019; Zbl 1492.65075) Full Text: DOI
Yang, Haijian; Hwang, Feng-Nan A nonlinear elimination preconditioner for fully coupled space-time solution algorithm with applications to high-Rayleigh number thermal convective flow problems. (English) Zbl 1490.76077 Commun. Comput. Phys. 26, No. 3, 749-767 (2019). MSC: 76D05 65F08 49M15 65M55 68W10 PDF BibTeX XML Cite \textit{H. Yang} and \textit{F.-N. Hwang}, Commun. Comput. Phys. 26, No. 3, 749--767 (2019; Zbl 1490.76077) Full Text: DOI
Mikida, Cory; Klöckner, Andreas; Bodony, Daniel Multi-rate time integration on overset meshes. (English) Zbl 1452.65219 J. Comput. Phys. 396, 325-346 (2019). MSC: 65M55 76N06 65Y20 PDF BibTeX XML Cite \textit{C. Mikida} et al., J. Comput. Phys. 396, 325--346 (2019; Zbl 1452.65219) Full Text: DOI arXiv
Calvo, Juan G. An overlapping Schwarz method for virtual element discretizations in two dimensions. (English) Zbl 1442.65425 Comput. Math. Appl. 77, No. 4, 1163-1177 (2019). MSC: 65N55 35J25 74S05 PDF BibTeX XML Cite \textit{J. G. Calvo}, Comput. Math. Appl. 77, No. 4, 1163--1177 (2019; Zbl 1442.65425) Full Text: DOI
Xu, Xiaowen Parallel algebraic multigrid methods: state-of-the art and challenges for extreme-scale applications. (Chinese. English summary) Zbl 1449.65238 J. Numer. Methods Comput. Appl. 40, No. 4, 243-260 (2019). MSC: 65M55 65N55 65Y05 65Y10 PDF BibTeX XML Cite \textit{X. Xu}, J. Numer. Methods Comput. Appl. 40, No. 4, 243--260 (2019; Zbl 1449.65238)
Mycek, Paul; De Lozzo, Matthias Multilevel Monte Carlo covariance estimation for the computation of Sobol’ indices. (English) Zbl 1483.65012 SIAM/ASA J. Uncertain. Quantif. 7, 1323-1348 (2019). MSC: 65C05 65N55 62L12 62D05 68Q25 PDF BibTeX XML Cite \textit{P. Mycek} and \textit{M. De Lozzo}, SIAM/ASA J. Uncertain. Quantif. 7, 1323--1348 (2019; Zbl 1483.65012) Full Text: DOI
Martin, Lindsay; Tsai, Yen-Hsi R. Erratum to: “A multiscale domain decomposition algorithm for boundary value problems for eikonal equations”. (English) Zbl 1435.65227 Multiscale Model. Simul. 17, No. 4, 1301-1302 (2019). MSC: 65N55 65N22 65N12 35F30 65Y05 PDF BibTeX XML Cite \textit{L. Martin} and \textit{Y.-H. R. Tsai}, Multiscale Model. Simul. 17, No. 4, 1301--1302 (2019; Zbl 1435.65227) Full Text: DOI
Drzisga, Daniel; Keith, Brendan; Wohlmuth, Barbara The surrogate matrix methodology: a priori error estimation. (English) Zbl 1435.65022 SIAM J. Sci. Comput. 41, No. 6, A3806-A3838 (2019). MSC: 65D05 65M60 65N30 65Y05 65Y20 PDF BibTeX XML Cite \textit{D. Drzisga} et al., SIAM J. Sci. Comput. 41, No. 6, A3806--A3838 (2019; Zbl 1435.65022) Full Text: DOI arXiv
De La Riva, Alvaro Pe; Rodrigo, Carmen; Gaspar, Francisco J. A robust multigrid solver for isogeometric analysis based on multiplicative Schwarz smoothers. (English) Zbl 07124595 SIAM J. Sci. Comput. 41, No. 5, S321-S345 (2019). MSC: 65Dxx 68-XX PDF BibTeX XML Cite \textit{A. P. De La Riva} et al., SIAM J. Sci. Comput. 41, No. 5, S321--S345 (2019; Zbl 07124595) Full Text: DOI
Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B. Vertex-based preconditioners for the coarse problems of BDDC. (English) Zbl 1425.65044 SIAM J. Sci. Comput. 41, No. 5, A3021-A3044 (2019). MSC: 65F08 65F10 65N30 65N55 PDF BibTeX XML Cite \textit{C. R. Dohrmann} et al., SIAM J. Sci. Comput. 41, No. 5, A3021--A3044 (2019; Zbl 1425.65044) Full Text: DOI
Martin, Lindsay; Tsai, Yen-Hsi R. A multiscale domain decomposition algorithm for boundary value problems for eikonal equations. (English) Zbl 1426.65198 Multiscale Model. Simul. 17, No. 2, 620-649 (2019); erratum ibid. 17, No. 4, 1301-1302 (2019). MSC: 65N55 65N22 65N12 35F30 65Y05 PDF BibTeX XML Cite \textit{L. Martin} and \textit{Y.-H. R. Tsai}, Multiscale Model. Simul. 17, No. 2, 620--649 (2019; Zbl 1426.65198) Full Text: DOI arXiv
Shaydulin, Ruslan; Chen, Jie; Safro, Ilya Relaxation-based coarsening for multilevel hypergraph partitioning. (English) Zbl 1419.05160 Multiscale Model. Simul. 17, No. 1, 482-506 (2019). MSC: 05C65 05C70 05C85 90C06 90C35 65M55 PDF BibTeX XML Cite \textit{R. Shaydulin} et al., Multiscale Model. Simul. 17, No. 1, 482--506 (2019; Zbl 1419.05160) Full Text: DOI arXiv
Bacuta, Constantin; Jacavage, Jacob A non-conforming saddle point least squares approach for an elliptic interface problem. (English) Zbl 1421.74094 Comput. Methods Appl. Math. 19, No. 3, 399-414 (2019). MSC: 74S05 74B05 65N22 65N55 PDF BibTeX XML Cite \textit{C. Bacuta} and \textit{J. Jacavage}, Comput. Methods Appl. Math. 19, No. 3, 399--414 (2019; Zbl 1421.74094) Full Text: DOI arXiv
Volkov, K. N.; Emel’yanov, V. N.; Karpenko, A. G.; Teterina, I. V. Simulating flows of viscous incompressible fluid on graphics processors using the splitting scheme and multigrid method. (English. Russian original) Zbl 1422.65245 Comput. Math. Math. Phys. 59, No. 1, 136-149 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 1, 143-157 (2019). MSC: 65M55 65M08 65Y10 76D05 PDF BibTeX XML Cite \textit{K. N. Volkov} et al., Comput. Math. Math. Phys. 59, No. 1, 136--149 (2019; Zbl 1422.65245); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 1, 143--157 (2019) Full Text: DOI
Harbrecht, Helmut; Zaspel, Peter On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems. (English) Zbl 1417.65204 J. Sci. Comput. 78, No. 2, 1272-1290 (2019). MSC: 65N30 65N22 65N55 65N50 65F10 65Y20 65Y05 PDF BibTeX XML Cite \textit{H. Harbrecht} and \textit{P. Zaspel}, J. Sci. Comput. 78, No. 2, 1272--1290 (2019; Zbl 1417.65204) Full Text: DOI arXiv Link
Leng, Wei; Ju, Lili An additive overlapping domain decomposition method for the Helmholtz equation. (English) Zbl 1416.65501 SIAM J. Sci. Comput. 41, No. 2, A1252-A1277 (2019). MSC: 65N55 65F10 65F08 65Y05 65Y20 65N15 35J05 PDF BibTeX XML Cite \textit{W. Leng} and \textit{L. Ju}, SIAM J. Sci. Comput. 41, No. 2, A1252--A1277 (2019; Zbl 1416.65501) Full Text: DOI arXiv
Bærland, Trygve; Kuchta, Miroslav; Mardal, Kent-Andre Multigrid methods for discrete fractional Sobolev spaces. (English) Zbl 1419.65102 SIAM J. Sci. Comput. 41, No. 2, A948-A972 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N55 65F10 35R11 65F08 PDF BibTeX XML Cite \textit{T. Bærland} et al., SIAM J. Sci. Comput. 41, No. 2, A948--A972 (2019; Zbl 1419.65102) Full Text: DOI arXiv
Kosturski, Nikola; Margenov, Svetozar; Vutov, Yavor Performance analysis of MG preconditioning on Intel Xeon Phi: towards scalability for extreme scale problems with fractional Laplacians. (English) Zbl 1476.65035 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 11th international conference, LSSC 2017, Sozopol, Bulgaria, June 5–9, 2017. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 10665, 304-312 (2018). MSC: 65F08 65N55 65Y10 PDF BibTeX XML Cite \textit{N. Kosturski} et al., Lect. Notes Comput. Sci. 10665, 304--312 (2018; Zbl 1476.65035) Full Text: DOI
Widlund, Olof B.; Dohrmann, Clark R. Small coarse spaces for overlapping Schwarz algorithms with irregular subdomains. (English) Zbl 1450.65177 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 553-560 (2018). MSC: 65N55 65N30 65N50 65F35 74B20 PDF BibTeX XML Cite \textit{O. B. Widlund} and \textit{C. R. Dohrmann}, Lect. Notes Comput. Sci. Eng. 125, 553--560 (2018; Zbl 1450.65177) Full Text: DOI
Ying, Jinyong; Xie, Dexuan A hybrid solver of size modified Poisson-Boltzmann equation by domain decomposition, finite element, and finite difference. (English) Zbl 1480.65348 Appl. Math. Modelling 58, 166-180 (2018). MSC: 65N30 65N06 65N55 65Y15 PDF BibTeX XML Cite \textit{J. Ying} and \textit{D. Xie}, Appl. Math. Modelling 58, 166--180 (2018; Zbl 1480.65348) Full Text: DOI arXiv
Arrarás, A.; Portero, L. Decoupling mixed finite elements on hierarchical triangular grids for parabolic problems. (English) Zbl 1426.76215 Appl. Math. Comput. 319, 662-680 (2018). MSC: 76M10 65M60 35K20 65M55 68W10 76S05 PDF BibTeX XML Cite \textit{A. Arrarás} and \textit{L. Portero}, Appl. Math. Comput. 319, 662--680 (2018; Zbl 1426.76215) Full Text: DOI arXiv Link
Nouy, Anthony; Pled, Florent A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities. (English) Zbl 1479.35971 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1763-1802 (2018). MSC: 35R60 35J62 35J66 60H15 65N30 65N55 65D15 PDF BibTeX XML Cite \textit{A. Nouy} and \textit{F. Pled}, ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1763--1802 (2018; Zbl 1479.35971) Full Text: DOI arXiv