Bevilacqua, Tommaso; Dassi, Franco; Zampini, Stefano; Scacchi, Simone BDDC preconditioners for virtual element approximations of the three-dimensional Stokes equations. (English) Zbl 07801542 SIAM J. Sci. Comput. 46, No. 1, A156-A178 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65F08 65N30 65N35 65N55 PDFBibTeX XMLCite \textit{T. Bevilacqua} et al., SIAM J. Sci. Comput. 46, No. 1, A156--A178 (2024; Zbl 07801542) Full Text: DOI arXiv
Lucero Lorca, José Pablo; Beams, Natalie; Beecroft, Damien; Gillman, Adrianna An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems. (English) Zbl 07790227 SIAM J. Sci. Comput. 46, No. 1, A80-A104 (2024). MSC: 65N35 65N55 65N22 65F05 65F08 65F10 65Y05 35J05 35J25 PDFBibTeX XMLCite \textit{J. P. Lucero Lorca} et al., SIAM J. Sci. Comput. 46, No. 1, A80--A104 (2024; Zbl 07790227) Full Text: DOI arXiv
Klar, Manuel; Capodaglio, Giacomo; D’Elia, Marta; Glusa, Christian; Gunzburger, Max; Vollmann, Christian A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. (English) Zbl 07783952 Comput. Math. Appl. 151, 434-448 (2023). MSC: 45K05 65N30 35R11 65M60 45A05 PDFBibTeX XMLCite \textit{M. Klar} et al., Comput. Math. Appl. 151, 434--448 (2023; Zbl 07783952) Full Text: DOI arXiv
Zhang, Mei; Yang, Haijian; Yang, Chao; Sun, Shuyu Multilevel constrained pressure-temperature residual preconditioners for large-scale non-isothermal reservoir simulation via restricted additive Schwarz algorithms. (English) Zbl 07783562 Commun. Comput. Phys. 34, No. 3, 837-868 (2023). MSC: 65F08 49M15 65M55 68W10 76S05 90B05 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Comput. Phys. 34, No. 3, 837--868 (2023; Zbl 07783562) Full Text: DOI
Papadopoulos, Ioannis P. A.; Farrell, Patrick E. Preconditioners for computing multiple solutions in three-dimensional fluid topology optimization. (English) Zbl 07779190 SIAM J. Sci. Comput. 45, No. 6, B853-B883 (2023). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65F08 65K10 65N55 35Q35 49M15 90C26 PDFBibTeX XMLCite \textit{I. P. A. Papadopoulos} and \textit{P. E. Farrell}, SIAM J. Sci. Comput. 45, No. 6, B853--B883 (2023; Zbl 07779190) Full Text: DOI arXiv
Castañar, Inocencio; Codina, Ramon; Baiges, Joan A stabilized mixed three-field formulation for stress accurate analysis including the incompressible limit in finite strain solid dynamics. (English) Zbl 1528.74100 Int. J. Numer. Methods Eng. 124, No. 10, 2341-2366 (2023). MSC: 74S05 74S99 74B20 PDFBibTeX XMLCite \textit{I. Castañar} et al., Int. J. Numer. Methods Eng. 124, No. 10, 2341--2366 (2023; Zbl 1528.74100) Full Text: DOI
Badrkhani, Vahid; Hiemstra, René R.; Mika, Michał; Schillinger, Dominik A matrix-free macro-element variant of the hybridized discontinuous Galerkin method. (English) Zbl 07772318 Int. J. Numer. Methods Eng. 124, No. 20, 4427-4452 (2023). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{V. Badrkhani} et al., Int. J. Numer. Methods Eng. 124, No. 20, 4427--4452 (2023; Zbl 07772318) Full Text: DOI arXiv OA License
Aznaran, Francis R. A.; Farrell, Patrick E.; Kirby, Robert C. Transformations for Piola-mapped elements. (English) Zbl 1528.65099 SMAI J. Comput. Math. 8, 399-437 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65F08 65F10 76D07 74B10 35A15 68W30 78M10 PDFBibTeX XMLCite \textit{F. R. A. Aznaran} et al., SMAI J. Comput. Math. 8, 399--437 (2023; Zbl 1528.65099) Full Text: DOI arXiv
Huynh, Ngoc Mai Monica; Chegini, Fatemeh; Pavarino, Luca Franco; Weiser, Martin; Scacchi, Simone Convergence analysis of BDDC preconditioners for composite DG discretizations of the cardiac cell-by-cell model. (English) Zbl 1527.65138 SIAM J. Sci. Comput. 45, No. 6, A2836-A2857 (2023). MSC: 65N55 65M55 65M60 65M06 65N30 65M12 65F08 65F10 92C37 92C30 92-08 PDFBibTeX XMLCite \textit{N. M. M. Huynh} et al., SIAM J. Sci. Comput. 45, No. 6, A2836--A2857 (2023; Zbl 1527.65138) Full Text: DOI arXiv
Badger, Jacob; Henneking, Stefan; Petrides, Socratis; Demkowicz, Leszek Scalable DPG multigrid solver for Helmholtz problems: a study on convergence. (English) Zbl 07750283 Comput. Math. Appl. 148, 81-92 (2023). MSC: 65N30 35J05 65N55 65F08 65F10 PDFBibTeX XMLCite \textit{J. Badger} et al., Comput. Math. Appl. 148, 81--92 (2023; Zbl 07750283) Full Text: DOI arXiv
Barnafi, Nicolás A.; Pavarino, Luca F.; Scacchi, Simone A comparative study of scalable multilevel preconditioners for cardiac mechanics. (English) Zbl 07742907 J. Comput. Phys. 492, Article ID 112421, 24 p. (2023). MSC: 65Fxx 65Nxx 92Cxx PDFBibTeX XMLCite \textit{N. A. Barnafi} et al., J. Comput. Phys. 492, Article ID 112421, 24 p. (2023; Zbl 07742907) Full Text: DOI arXiv
Zaman, Tareq Uz; MacLachlan, Scott P.; Olson, Luke N.; West, Matthew Coarse-grid selection using simulated annealing. (English) Zbl 1523.65034 J. Comput. Appl. Math. 431, Article ID 115263, 25 p. (2023). MSC: 65F10 65F08 65N55 PDFBibTeX XMLCite \textit{T. U. Zaman} et al., J. Comput. Appl. Math. 431, Article ID 115263, 25 p. (2023; Zbl 1523.65034) Full Text: DOI arXiv
Thompson, Jeremy L.; Brown, Jed; He, Yunhui Local Fourier analysis of p-multigrid for high-order finite element operators. (English) Zbl 07704377 SIAM J. Sci. Comput. 45, No. 3, S351-S370 (2023). MSC: 65M55 65N30 65Txx PDFBibTeX XMLCite \textit{J. L. Thompson} et al., SIAM J. Sci. Comput. 45, No. 3, S351--S370 (2023; Zbl 07704377) Full Text: DOI arXiv
Hahne, Jens; Southworth, Ben S.; Friedhoff, Stephanie Asynchronous truncated multigrid-reduction-in-time. (English) Zbl 1517.65081 SIAM J. Sci. Comput. 45, No. 3, S281-S306 (2023). MSC: 65M55 65F10 65M22 65Y05 PDFBibTeX XMLCite \textit{J. Hahne} et al., SIAM J. Sci. Comput. 45, No. 3, S281--S306 (2023; Zbl 1517.65081) Full Text: DOI arXiv
Shih, Yu-hsuan; Stadler, Georg; Wechsung, Florian Robust multigrid techniques for augmented Lagrangian preconditioning of incompressible Stokes equations with extreme viscosity variations. (English) Zbl 1518.65029 SIAM J. Sci. Comput. 45, No. 3, S27-S53 (2023). MSC: 65F08 65F10 65N55 65Y05 76D07 PDFBibTeX XMLCite \textit{Y.-h. Shih} et al., SIAM J. Sci. Comput. 45, No. 3, S27--S53 (2023; Zbl 1518.65029) Full Text: DOI arXiv
Drzisga, Daniel; Köppl, Tobias; Wohlmuth, Barbara A semi matrix-free twogrid preconditioner for the Helmholtz equation with near optimal shifts. (English) Zbl 1518.35247 J. Sci. Comput. 95, No. 3, Paper No. 82, 25 p. (2023). MSC: 35J05 65N55 65F08 65F50 PDFBibTeX XMLCite \textit{D. Drzisga} et al., J. Sci. Comput. 95, No. 3, Paper No. 82, 25 p. (2023; Zbl 1518.35247) Full Text: DOI arXiv
Al Daas, Hussam; Jolivet, Pierre; Rees, Tyrone Efficient algebraic two-level Schwarz preconditioner for sparse matrices. (English) Zbl 1521.65026 SIAM J. Sci. Comput. 45, No. 3, A1199-A1213 (2023). Reviewer: Soheil Hajian (Berlin) MSC: 65F08 65F50 65N55 65N22 PDFBibTeX XMLCite \textit{H. Al Daas} et al., SIAM J. Sci. Comput. 45, No. 3, A1199--A1213 (2023; Zbl 1521.65026) Full Text: DOI arXiv
Audibert, Lorenzo; Girardon, Hugo; Haddar, Houssem; Jolivet, Pierre Inversion of eddy-current signals using a level-set method and block Krylov solvers. (English) Zbl 1520.35149 SIAM J. Sci. Comput. 45, No. 3, B366-B389 (2023). MSC: 35Q61 78A45 78A46 49Q10 65N21 65N55 65K10 65F10 65F08 35R30 PDFBibTeX XMLCite \textit{L. Audibert} et al., SIAM J. Sci. Comput. 45, No. 3, B366--B389 (2023; Zbl 1520.35149) Full Text: DOI
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 PDFBibTeX XMLCite \textit{I. C. T. May} et al., Numer. Algorithms 93, No. 2, 615--637 (2023; Zbl 1522.65006) Full Text: DOI arXiv
Dang, Haikun; Wang, Yifan; Xie, Hehu; Zhou, Chenguang Enhanced error estimates for augmented subspace method. (English) Zbl 1512.65251 J. Sci. Comput. 94, No. 2, Paper No. 40, 24 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65N25 65N30 65N55 65L15 65N12 65N15 65Y05 PDFBibTeX XMLCite \textit{H. Dang} et al., J. Sci. Comput. 94, No. 2, Paper No. 40, 24 p. (2023; Zbl 1512.65251) Full Text: DOI arXiv
Xie, Hehu; Xie, Manting; Yin, Xiaobo; Zhao, Gang An efficient adaptive mesh redistribution method for nonlinear eigenvalue problems in Bose-Einstein condensates. (English) Zbl 1512.65255 J. Sci. Comput. 94, No. 2, Paper No. 37, 20 p. (2023). MSC: 65N25 65N30 65N55 65N50 65F15 65F50 82B10 82M10 35Q82 35R37 PDFBibTeX XMLCite \textit{H. Xie} et al., J. Sci. Comput. 94, No. 2, Paper No. 37, 20 p. (2023; Zbl 1512.65255) Full Text: DOI
Dang, Haikun; Xie, Hehu; Zhao, Gang; Zhou, Chenguang A nonnested augmented subspace method for elliptic eigenvalue problems with curved interfaces. (English) Zbl 1512.65252 J. Sci. Comput. 94, No. 2, Paper No. 34, 20 p. (2023). MSC: 65N25 65N30 65N55 65N50 65N15 PDFBibTeX XMLCite \textit{H. Dang} et al., J. Sci. Comput. 94, No. 2, Paper No. 34, 20 p. (2023; Zbl 1512.65252) Full Text: DOI arXiv
Luo, Li; Cai, Xiao-Chuan \(\mathrm{PIN}^{\mathcal{L}}\): preconditioned inexact Newton with learning capability for nonlinear system of equations. (English) Zbl 1524.76136 SIAM J. Sci. Comput. 45, No. 2, A849-A871 (2023). MSC: 76D05 65Y05 65M55 PDFBibTeX XMLCite \textit{L. Luo} and \textit{X.-C. Cai}, SIAM J. Sci. Comput. 45, No. 2, A849--A871 (2023; Zbl 1524.76136) Full Text: DOI
Yan, Zhengzheng; Chen, Rongliang; Wang, Chao; Xu, Lei; Li, Jingzhi Parallel domain decomposition-based solver for the simulation of flow over an ahmed reference model. (English) Zbl 1524.76145 Adv. Appl. Math. Mech. 15, No. 3, 769-785 (2023). MSC: 76D05 76F65 65M55 65Y05 PDFBibTeX XMLCite \textit{Z. Yan} et al., Adv. Appl. Math. Mech. 15, No. 3, 769--785 (2023; Zbl 1524.76145) Full Text: DOI
Shao, Baiqiang; Yang, Haijian; Zhao, Hong-Jie Scalable fully implicit methods for subsurface flows in porous media with fractional derivative. (English) Zbl 07674293 Comput. Math. Appl. 134, 55-65 (2023). MSC: 65M55 35R11 65H05 65K10 PDFBibTeX XMLCite \textit{B. Shao} et al., Comput. Math. Appl. 134, 55--65 (2023; Zbl 07674293) Full Text: DOI
Kiefer, Bjoern; Prüger, Stefan; Rheinbach, Oliver; Röver, Friederike Monolithic parallel overlapping Schwarz methods in fully-coupled nonlinear chemo-mechanics problems. (English) Zbl 1510.74134 Comput. Mech. 71, No. 4, 765-788 (2023). MSC: 74S99 74E40 65Y05 PDFBibTeX XMLCite \textit{B. Kiefer} et al., Comput. Mech. 71, No. 4, 765--788 (2023; Zbl 1510.74134) Full Text: DOI arXiv
Feng, Ye; Li, Jie A unified regularized variational cohesive fracture theory with directional energy decomposition. (English) Zbl 07646839 Int. J. Eng. Sci. 182, Article ID 103773, 28 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{Y. Feng} and \textit{J. Li}, Int. J. Eng. Sci. 182, Article ID 103773, 28 p. (2023; Zbl 07646839) Full Text: DOI
Zhao, Hong-Jie; Yang, Haijian; Huang, Jizu Parallel generalized Lagrange-Newton method for fully coupled solution of PDE-constrained optimization problems with bound-constraints. (English) Zbl 1508.49011 Appl. Numer. Math. 184, 219-233 (2023). MSC: 49M41 65K10 PDFBibTeX XMLCite \textit{H.-J. Zhao} et al., Appl. Numer. Math. 184, 219--233 (2023; Zbl 1508.49011) Full Text: DOI
Qin, Shanlin; Chen, Rongliang; Wu, Bokai; Cai, Xiao-Chuan A highly parallel fully implicit domain decomposition method for the simulation of the hemodynamics of a patient-specific artery at the full-body scale. (English) Zbl 07620381 J. Comput. Phys. 472, Article ID 111730, 18 p. (2023). MSC: 76Zxx 92Cxx 76Mxx PDFBibTeX XMLCite \textit{S. Qin} et al., J. Comput. Phys. 472, Article ID 111730, 18 p. (2023; Zbl 07620381) Full Text: DOI
Ang, Ida; Bouklas, Nikolaos; Li, Bin Stabilized formulation for phase-field fracture in nearly incompressible hyperelasticity. (English) Zbl 07769304 Int. J. Numer. Methods Eng. 123, No. 19, 4655-4673 (2022). MSC: 74R10 74B20 74S05 PDFBibTeX XMLCite \textit{I. Ang} et al., Int. J. Numer. Methods Eng. 123, No. 19, 4655--4673 (2022; Zbl 07769304) Full Text: DOI
Tian, Wei; Huang, Jingjing; Jiang, Yi; Chen, Rongliang A parallel scalable domain decomposition preconditioner for elastic crack simulation using XFEM. (English) Zbl 07768037 Int. J. Numer. Methods Eng. 123, No. 15, 3393-3417 (2022). MSC: 65Nxx 74Sxx 65Fxx PDFBibTeX XMLCite \textit{W. Tian} et al., Int. J. Numer. Methods Eng. 123, No. 15, 3393--3417 (2022; Zbl 07768037) Full Text: DOI arXiv
Yan, Zhengzheng; Chen, Rongliang; Cai, Xiao-Chuan Large eddy simulation of the wind flow in a realistic full-scale urban community with a scalable parallel algorithm. (English) Zbl 1516.76045 Comput. Phys. Commun. 270, Article ID 108170, 14 p. (2022). MSC: 76F65 76M10 76M20 76D05 PDFBibTeX XMLCite \textit{Z. Yan} et al., Comput. Phys. Commun. 270, Article ID 108170, 14 p. (2022; Zbl 1516.76045) Full Text: DOI
Berenguer, L.; Tromeur-Dervout, D. Sparse Aitken-Schwarz domain decomposition with application to Darcy flow. (English) Zbl 1521.65134 Comput. Fluids 249, Article ID 105687, 9 p. (2022). MSC: 65N55 76E06 PDFBibTeX XMLCite \textit{L. Berenguer} and \textit{D. Tromeur-Dervout}, Comput. Fluids 249, Article ID 105687, 9 p. (2022; Zbl 1521.65134) Full Text: DOI
Huynh, Ngoc Mai Monica Newton-Krylov-BDDC deluxe solvers for non-symmetric fully implicit time discretizations of the bidomain model. (English) Zbl 1502.65101 Numer. Math. 152, No. 4, 841-879 (2022). MSC: 65M55 65M06 65H10 65F08 65F10 65Y05 65M12 92C30 92C37 92C50 PDFBibTeX XMLCite \textit{N. M. M. Huynh}, Numer. Math. 152, No. 4, 841--879 (2022; Zbl 1502.65101) Full Text: DOI arXiv
Huynh, Ngoc Mai Monica; Pavarino, Luca F.; Scacchi, Simone Scalable and robust dual-primal Newton-Krylov deluxe solvers for cardiac electrophysiology with biophysical ionic models. (English) Zbl 1507.65276 Vietnam J. Math. 50, No. 4, 1029-1052 (2022). Reviewer: Michael Jung (Dresden) MSC: 65N55 65M55 65M60 65M06 65N30 65H10 65F08 65F10 65Y05 92C30 35Q92 PDFBibTeX XMLCite \textit{N. M. M. Huynh} et al., Vietnam J. Math. 50, No. 4, 1029--1052 (2022; Zbl 1507.65276) Full Text: DOI
Cheng, Tianpei; Yang, Haijian; Sun, Shuyu Parallel fully coupled methods for bound-preserving solution of subsurface flow and transport in porous media. (English) Zbl 07599593 J. Comput. Phys. 470, Article ID 111537, 20 p. (2022). MSC: 65Mxx 76Mxx 65Fxx PDFBibTeX XMLCite \textit{T. Cheng} et al., J. Comput. Phys. 470, Article ID 111537, 20 p. (2022; Zbl 07599593) Full Text: DOI
Ye, Zisheng; Hu, Xiaozhe; Pan, Wenxiao A multigrid preconditioner for spatially adaptive high-order meshless method on fluid-solid interaction problems. (English) Zbl 1507.74140 Comput. Methods Appl. Mech. Eng. 400, Article ID 115506, 30 p. (2022). MSC: 74F10 65F08 65N55 PDFBibTeX XMLCite \textit{Z. Ye} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115506, 30 p. (2022; Zbl 1507.74140) Full Text: DOI arXiv
Piperni, Pat; Talukder, Maahi M. Newton linearization of the curvature operator in structured grid generation with sample solutions. (English) Zbl 1497.65207 Int. J. Math. Math. Sci. 2022, Article ID 7266801, 20 p. (2022). MSC: 65N06 65N50 65N12 65N55 PDFBibTeX XMLCite \textit{P. Piperni} and \textit{M. M. Talukder}, Int. J. Math. Math. Sci. 2022, Article ID 7266801, 20 p. (2022; Zbl 1497.65207) Full Text: DOI
Gunatilake, Janitha An improved multigrid solver for the \(p\)-hierarchical basis finite element method using a space decomposition smoother. (English) Zbl 1524.65807 Comput. Math. Appl. 124, 52-62 (2022). MSC: 65N30 65N55 35J25 65F10 65N50 65N15 65N12 PDFBibTeX XMLCite \textit{J. Gunatilake}, Comput. Math. Appl. 124, 52--62 (2022; Zbl 1524.65807) Full Text: DOI
Brubeck, Pablo D.; Farrell, Patrick E. A scalable and robust vertex-star relaxation for high-order FEM. (English) Zbl 1501.65014 SIAM J. Sci. Comput. 44, No. 5, A2991-A3017 (2022). MSC: 65F08 65N35 65N55 PDFBibTeX XMLCite \textit{P. D. Brubeck} and \textit{P. E. Farrell}, SIAM J. Sci. Comput. 44, No. 5, A2991--A3017 (2022; Zbl 1501.65014) Full Text: DOI arXiv
Krzyżanowski, Piotr Analysis of a preconditioner for a membrane diffusion problem with the Kedem-Katchalsky transmission condition. (English) Zbl 1524.65830 Comput. Math. Appl. 122, 28-34 (2022). MSC: 65N30 65N55 35J25 65F35 65F10 65F08 65N12 65Y05 35A15 74K15 35Q74 PDFBibTeX XMLCite \textit{P. Krzyżanowski}, Comput. Math. Appl. 122, 28--34 (2022; Zbl 1524.65830) Full Text: DOI
Botti, Lorenzo; Di Pietro, Daniele A. \(p\)-multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation. (English) Zbl 1513.65053 Commun. Appl. Math. Comput. 4, No. 3, 783-822 (2022). MSC: 65F08 35Q30 76D07 65N55 PDFBibTeX XMLCite \textit{L. Botti} and \textit{D. A. Di Pietro}, Commun. Appl. Math. Comput. 4, No. 3, 783--822 (2022; Zbl 1513.65053) Full Text: DOI arXiv
Pusztay, Joseph V.; Knepley, Matthew G.; Adams, Mark F. Conservative projection between finite element and particle bases. (English) Zbl 1492.65346 SIAM J. Sci. Comput. 44, No. 4, C310-C319 (2022). MSC: 65N55 65N30 65F10 82D10 PDFBibTeX XMLCite \textit{J. V. Pusztay} et al., SIAM J. Sci. Comput. 44, No. 4, C310--C319 (2022; Zbl 1492.65346) Full Text: DOI arXiv
Liu, Lulu; Hwang, Feng-Nan; Luo, Li; Cai, Xiao-Chuan; Keyes, David E. A nonlinear elimination preconditioned inexact Newton algorithm. (English) Zbl 1492.65144 SIAM J. Sci. Comput. 44, No. 3, A1579-A1605 (2022). MSC: 65H20 65N06 65N22 65Y05 76H05 PDFBibTeX XMLCite \textit{L. Liu} et al., SIAM J. Sci. Comput. 44, No. 3, A1579--A1605 (2022; Zbl 1492.65144) Full Text: DOI
Hedayat, Mohammadali; Akbarzadeh, Amir M.; Borazjani, Iman A parallel dynamic overset grid framework for immersed boundary methods. (English) Zbl 1521.65091 Comput. Fluids 239, Article ID 105378, 27 p. (2022). MSC: 65M55 65Y05 PDFBibTeX XMLCite \textit{M. Hedayat} et al., Comput. Fluids 239, Article ID 105378, 27 p. (2022; Zbl 1521.65091) Full Text: DOI arXiv
Al Daas, Hussam; Jolivet, Pierre; Scott, Jennifer A. A robust algebraic domain decomposition preconditioner for sparse normal equations. (English) Zbl 1492.65070 SIAM J. Sci. Comput. 44, No. 3, A1047-A1068 (2022). MSC: 65F08 65F20 65F50 PDFBibTeX XMLCite \textit{H. Al Daas} et al., SIAM J. Sci. Comput. 44, No. 3, A1047--A1068 (2022; Zbl 1492.65070) Full Text: DOI arXiv
Aulisa, Eugenio; Capodaglio, Giacomo; Ke, Guoyi A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient. (English) Zbl 1485.65028 Int. J. Numer. Anal. Model. 19, No. 2-3, 220-236 (2022). MSC: 65F08 65C30 65N55 PDFBibTeX XMLCite \textit{E. Aulisa} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 220--236 (2022; Zbl 1485.65028) Full Text: arXiv Link
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 PDFBibTeX XMLCite \textit{J. Liu} et al., Adv. Comput. Math. 48, No. 3, Paper No. 16, 29 p. (2022; Zbl 07506441) Full Text: DOI arXiv
Deng, Xiaomao; Liao, Zi-Ju; Cai, Xiao-Chuan An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems. (English) Zbl 1524.65477 Comput. Math. Appl. 111, 98-108 (2022). MSC: 65M32 35R30 35K20 65J20 65M60 65M55 49M41 65F10 65M08 65Y05 93B30 PDFBibTeX XMLCite \textit{X. Deng} et al., Comput. Math. Appl. 111, 98--108 (2022; Zbl 1524.65477) Full Text: DOI
Huynh, Ngoc Mai Monica; Pavarino, Luca F.; Scacchi, Simone Parallel Newton-Krylov BDDC and FETI-DP deluxe solvers for implicit time discretizations of the cardiac bidomain equations. (English) Zbl 1490.65304 SIAM J. Sci. Comput. 44, No. 2, B224-B249 (2022). MSC: 65N55 65M55 65F10 92C30 PDFBibTeX XMLCite \textit{N. M. M. Huynh} et al., SIAM J. Sci. Comput. 44, No. 2, B224--B249 (2022; Zbl 1490.65304) Full Text: DOI arXiv
Yang, Ming; Soghrati, Soheil On the performance of domain decomposition methods for modeling heterogenous materials. (English) Zbl 07492664 Comput. Mech. 69, No. 1, 177-199 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{M. Yang} and \textit{S. Soghrati}, Comput. Mech. 69, No. 1, 177--199 (2022; Zbl 07492664) Full Text: DOI
Dassi, Franco; Zampini, Stefano; Scacchi, S. Robust and scalable adaptive BDDC preconditioners for virtual element discretizations of elliptic partial differential equations in mixed form. (English) Zbl 1507.65237 Comput. Methods Appl. Mech. Eng. 391, Article ID 114620, 20 p. (2022). MSC: 65N30 65F08 65N55 PDFBibTeX XMLCite \textit{F. Dassi} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114620, 20 p. (2022; Zbl 1507.65237) Full Text: DOI
Farrell, Patrick; Orozco, Pablo Alexei Gazca; Süli, Endre Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids. (English) Zbl 1490.65271 Math. Comput. 91, No. 334, 659-697 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N55 65F08 65F10 35D30 80A19 76A05 PDFBibTeX XMLCite \textit{P. Farrell} et al., Math. Comput. 91, No. 334, 659--697 (2022; Zbl 1490.65271) Full Text: DOI arXiv
Liao, Zi-Ju; Qin, Shanlin; Chen, Rongliang; Cai, Xiao-Chuan A parallel domain decomposition method for large eddy simulation of blood flow in human artery with resistive boundary condition. (English) Zbl 1521.76927 Comput. Fluids 232, Article ID 105201, 11 p. (2022). MSC: 76Z05 65M55 65Y05 76F65 76M10 PDFBibTeX XMLCite \textit{Z.-J. Liao} et al., Comput. Fluids 232, Article ID 105201, 11 p. (2022; Zbl 1521.76927) Full Text: DOI
Thiele, Christopher; Riviere, Beatrice \(p\)-multigrid with partial smoothing: an efficient preconditioner for discontinuous Galerkin discretizations with modal bases. (English) Zbl 1519.65060 J. Comput. Appl. Math. 402, Article ID 113815, 16 p. (2022). Reviewer: Wei Gong (Beijing) MSC: 65N55 65N30 65F08 65Y05 35J05 76S05 74F10 74L10 PDFBibTeX XMLCite \textit{C. Thiele} and \textit{B. Riviere}, J. Comput. Appl. Math. 402, Article ID 113815, 16 p. (2022; Zbl 1519.65060) Full Text: DOI
Carlson, Max; Zheng, Xiaoning; Sundar, Hari; Karniadakis, George Em; Kirby, Robert M. An open-source parallel code for computing the spectral fractional Laplacian on 3D complex geometry domains. (English) Zbl 07690829 Comput. Phys. Commun. 261, Article ID 107695, 11 p. (2021). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{M. Carlson} et al., Comput. Phys. Commun. 261, Article ID 107695, 11 p. (2021; Zbl 07690829) Full Text: DOI
Ying, Jinyong; Fan, Ronghong; Li, Jiao; Lu, Benzhuo A new block preconditioner and improved finite element solver of Poisson-Nernst-Planck equation. (English) Zbl 07506529 J. Comput. Phys. 430, Article ID 110098, 21 p. (2021). MSC: 65Nxx 65Mxx 78Axx PDFBibTeX XMLCite \textit{J. Ying} et al., J. Comput. Phys. 430, Article ID 110098, 21 p. (2021; Zbl 07506529) Full Text: DOI
Amor-Martin, Adrian; Garcia-Castillo, Luis E.; Lee, Jin-Fa Study of accuracy of a non-conformal finite element domain decomposition method. (English) Zbl 07500726 J. Comput. Phys. 429, Article ID 109989, 16 p. (2021). MSC: 65Nxx 78Mxx 78Axx PDFBibTeX XMLCite \textit{A. Amor-Martin} et al., J. Comput. Phys. 429, Article ID 109989, 16 p. (2021; Zbl 07500726) Full Text: DOI
Li, Rui; Yang, Haijian; Yang, Chao Adaptive fully implicit simulator with multilevel Schwarz methods for gas reservoir flows in fractured porous media. (English) Zbl 1482.65183 Commun. Comput. Phys. 30, No. 5, 1499-1528 (2021). MSC: 65M60 65M22 65M55 76S05 PDFBibTeX XMLCite \textit{R. Li} et al., Commun. Comput. Phys. 30, No. 5, 1499--1528 (2021; Zbl 1482.65183) Full Text: DOI
Liu, Shuang; Tang, Qi; Tang, Xian-zhu A parallel cut-cell algorithm for the free-boundary Grad-Shafranov problem. (English) Zbl 1481.65205 SIAM J. Sci. Comput. 43, No. 6, B1198-B1225 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N06 65N08 65N38 65N55 65Y05 76W05 82D75 82D10 35Q82 35R35 PDFBibTeX XMLCite \textit{S. Liu} et al., SIAM J. Sci. Comput. 43, No. 6, B1198--B1225 (2021; Zbl 1481.65205) Full Text: DOI arXiv
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias Fully-coupled micro-macro finite element simulations of the Nakajima test using parallel computational homogenization. (English) Zbl 1479.74120 Comput. Mech. 68, No. 5, 1153-1178 (2021). MSC: 74S05 74M15 74Q05 PDFBibTeX XMLCite \textit{A. Klawonn} et al., Comput. Mech. 68, No. 5, 1153--1178 (2021; Zbl 1479.74120) Full Text: DOI
Jiao, Xiangmin; Wang, Xuebin; Chen, Qiao Optimal and low-memory near-optimal preconditioning of fully implicit Runge-Kutta schemes for parabolic PDEs. (English) Zbl 07418132 SIAM J. Sci. Comput. 43, No. 5, A3527-A3551 (2021). MSC: 65F08 65F50 65M99 PDFBibTeX XMLCite \textit{X. Jiao} et al., SIAM J. Sci. Comput. 43, No. 5, A3527--A3551 (2021; Zbl 07418132) Full Text: DOI arXiv
D’Ambra, Pasqua; Durastante, Fabio; Filippone, Salvatore AMG preconditioners for linear solvers towards extreme scale. (English) Zbl 07418125 SIAM J. Sci. Comput. 43, No. 5, S679-S703 (2021). MSC: 65F08 65F10 65N55 65Y05 PDFBibTeX XMLCite \textit{P. D'Ambra} et al., SIAM J. Sci. Comput. 43, No. 5, S679--S703 (2021; Zbl 07418125) Full Text: DOI arXiv
Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S. Monolithic multigrid methods for magnetohydrodynamics. (English) Zbl 1490.76133 SIAM J. Sci. Comput. 43, No. 5, S70-S91 (2021). MSC: 76M10 65N22 65F10 65N55 76W05 PDFBibTeX XMLCite \textit{J. H. Adler} et al., SIAM J. Sci. Comput. 43, No. 5, S70--S91 (2021; Zbl 1490.76133) Full Text: DOI arXiv
Benedusi, Pietro; Minion, Michael L.; Krause, Rolf An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem. (English) Zbl 1524.65516 Comput. Math. Appl. 99, 162-170 (2021). MSC: 65M60 65M55 65Y05 65M15 65L05 65M70 65M12 65F10 35K05 65L04 65N30 65M06 65N50 PDFBibTeX XMLCite \textit{P. Benedusi} et al., Comput. Math. Appl. 99, 162--170 (2021; Zbl 1524.65516) Full Text: DOI arXiv
Benedusi, Pietro; Ferrari, Paola; Garoni, Carlo; Krause, Rolf; Serra-Capizzano, Stefano Fast parallel solver for the space-time IgA-DG discretization of the diffusion equation. (English) Zbl 1480.65247 J. Sci. Comput. 89, No. 1, Paper No. 20, 21 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65F08 65M55 65Y05 47B06 80A19 35Q79 PDFBibTeX XMLCite \textit{P. Benedusi} et al., J. Sci. Comput. 89, No. 1, Paper No. 20, 21 p. (2021; Zbl 1480.65247) Full Text: DOI
Bootland, Niall; Dolean, Victorita; Jolivet, Pierre; Tournier, Pierre-Henri A comparison of coarse spaces for Helmholtz problems in the high frequency regime. (English) Zbl 1524.65918 Comput. Math. Appl. 98, 239-253 (2021). MSC: 65N55 65F10 65N30 35J05 65F08 78A40 78A45 65Y05 65N50 76Q05 PDFBibTeX XMLCite \textit{N. Bootland} et al., Comput. Math. Appl. 98, 239--253 (2021; Zbl 1524.65918) 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 PDFBibTeX XMLCite \textit{S. Badia} et al., SIAM J. Sci. Comput. 43, No. 3, C203--C234 (2021; Zbl 1472.65141) Full Text: DOI arXiv
Peng, Zhichao; Li, Fengyan Asymptotic preserving IMEX-DG-S schemes for linear kinetic transport equations based on Schur complement. (English) Zbl 1484.65232 SIAM J. Sci. Comput. 43, No. 2, A1194-A1220 (2021). Reviewer: Michael Plum (Karlsruhe) MSC: 65M60 65M12 65L04 65L06 PDFBibTeX XMLCite \textit{Z. Peng} and \textit{F. Li}, SIAM J. Sci. Comput. 43, No. 2, A1194--A1220 (2021; Zbl 1484.65232) Full Text: DOI arXiv
Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F. Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. (English) Zbl 1507.65071 Math. Comput. 90, No. 330, 1773-1797 (2021). MSC: 65F08 65N30 65N35 65N55 PDFBibTeX XMLCite \textit{O. B. Widlund} et al., Math. Comput. 90, No. 330, 1773--1797 (2021; Zbl 1507.65071) Full Text: DOI
Xia, Jingmin; Farrell, Patrick E.; Wechsung, Florian Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals. (English) Zbl 1482.76008 BIT 61, No. 2, 607-644 (2021). Reviewer: Xingbin Pan (Shanghai) MSC: 76A15 65F08 65N30 65N55 82D30 PDFBibTeX XMLCite \textit{J. Xia} et al., BIT 61, No. 2, 607--644 (2021; Zbl 1482.76008) Full Text: DOI arXiv
Farrell, Patrick E.; Mitchell, Lawrence; Scott, L. Ridgway; Wechsung, Florian A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations. (English) Zbl 1472.65155 SMAI J. Comput. Math. 7, 75-96 (2021). MSC: 65N55 65N30 65F08 76D05 76M10 35Q30 PDFBibTeX XMLCite \textit{P. E. Farrell} et al., SMAI J. Comput. Math. 7, 75--96 (2021; Zbl 1472.65155) Full Text: DOI arXiv
Feppon, F.; Allaire, G.; Dapogny, C.; Jolivet, P. Body-fitted topology optimization of 2D and 3D fluid-to-fluid heat exchangers. (English) Zbl 1506.74270 Comput. Methods Appl. Mech. Eng. 376, Article ID 113638, 36 p. (2021). MSC: 74P15 35Q79 65N50 65N55 74F10 76B75 PDFBibTeX XMLCite \textit{F. Feppon} et al., Comput. Methods Appl. Mech. Eng. 376, Article ID 113638, 36 p. (2021; Zbl 1506.74270) Full Text: DOI HAL
Ye, Shuai; Xu, Xinhai; An, Hengbin; Yang, Xuejun A supplementary strategy for coarsening in algebraic multigrid. (English) Zbl 1508.65030 Appl. Math. Comput. 394, Article ID 125795, 19 p. (2021). MSC: 65F10 65N55 PDFBibTeX XMLCite \textit{S. Ye} et al., Appl. Math. Comput. 394, Article ID 125795, 19 p. (2021; Zbl 1508.65030) Full Text: DOI
Allen, Jeffery M.; Chang, Justin; Usseglio-Viretta, Francois L. E.; Graf, Peter; Smith, Kandler A segregated approach for modeling the electrochemistry in the 3-D microstructure of li-ion batteries and its acceleration using block preconditioners. (English) Zbl 1514.78014 J. Sci. Comput. 86, No. 3, Paper No. 42, 33 p. (2021). MSC: 78A57 65M60 65M06 65N30 65N55 65F08 65F10 65Y05 78M10 78M20 PDFBibTeX XMLCite \textit{J. M. Allen} et al., J. Sci. Comput. 86, No. 3, Paper No. 42, 33 p. (2021; Zbl 1514.78014) Full Text: DOI
Jolivet, Pierre; Roman, Jose E.; Zampini, Stefano KSPHPDDM and PCHPDDM: extending PETSc with advanced Krylov methods and robust multilevel overlapping Schwarz preconditioners. (English) Zbl 1524.65135 Comput. Math. Appl. 84, 277-295 (2021). MSC: 65F10 65N55 65Y05 PDFBibTeX XMLCite \textit{P. Jolivet} et al., Comput. Math. Appl. 84, 277--295 (2021; Zbl 1524.65135) Full Text: DOI
Büsing, Henrik Efficient solution techniques for two-phase flow in heterogeneous porous media using exact Jacobians. (English) Zbl 1453.65063 Comput. Geosci. 25, No. 1, 163-177 (2021). MSC: 65F08 65M08 65M55 76S05 76T10 PDFBibTeX XMLCite \textit{H. Büsing}, Comput. Geosci. 25, No. 1, 163--177 (2021; Zbl 1453.65063) Full Text: DOI
Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver The Dune framework: basic concepts and recent developments. (English) Zbl 1524.65003 Comput. Math. Appl. 81, 75-112 (2021). MSC: 65-04 65N30 65N55 65M60 65N15 65N50 35R37 PDFBibTeX XMLCite \textit{P. Bastian} et al., Comput. Math. Appl. 81, 75--112 (2021; Zbl 1524.65003) 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 1524.65001 Comput. Math. Appl. 81, 42-74 (2021). MSC: 65-04 65N30 65N55 65N50 74S05 76M10 65Y05 65Y10 65M60 65L06 65N25 65M06 PDFBibTeX XMLCite \textit{R. Anderson} et al., Comput. Math. Appl. 81, 42--74 (2021; Zbl 1524.65001) 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 PDFBibTeX XMLCite \textit{F. Xing}, J. Comput. Appl. Math. 383, Article ID 113018, 12 p. (2021; Zbl 1456.65177) Full Text: DOI arXiv
Gander, Martin J.; Van Criekingen, Serge New coarse corrections for optimized restricted additive Schwarz using PETSc. (English) Zbl 1502.65245 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, 483-490 (2020). MSC: 65N55 65N50 65N06 65F08 65F10 65Y05 35J05 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{S. Van Criekingen}, Lect. Notes Comput. Sci. Eng. 138, 483--490 (2020; Zbl 1502.65245) Full Text: DOI
Svolos, Lampros; Berger-Vergiat, Luc; Waisman, Haim Updating strategy of a domain decomposition preconditioner for parallel solution of dynamic fracture problems. (English) Zbl 07508378 J. Comput. Phys. 422, Article ID 109746, 43 p. (2020). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{L. Svolos} et al., J. Comput. Phys. 422, Article ID 109746, 43 p. (2020; Zbl 07508378) Full Text: DOI
Kwon, Oh-Kyoung; Lee, Jin; Lee, Junghoon; Kang, Ji-Hoon; Choi, Jung-Il MPI parallel implementation for pseudo-spectral simulations for turbulent channel flow. (English) Zbl 1500.76063 Int. J. Comput. Fluid Dyn. 34, No. 7-8, 569-582 (2020). MSC: 76M22 76F10 76F65 65Y05 PDFBibTeX XMLCite \textit{O.-K. Kwon} et al., Int. J. Comput. Fluid Dyn. 34, No. 7--8, 569--582 (2020; Zbl 1500.76063) Full Text: DOI
Klawonn, Axel; Köhler, Stephan; Lanser, Martin; Rheinbach, Oliver Computational homogenization with million-way parallelism using domain decomposition methods. (English) Zbl 1487.74112 Comput. Mech. 65, No. 1, 1-22 (2020). MSC: 74S05 74Q99 PDFBibTeX XMLCite \textit{A. Klawonn} et al., Comput. Mech. 65, No. 1, 1--22 (2020; Zbl 1487.74112) Full Text: DOI Link
Widlund, Olof B. BDDC domain decomposition algorithms. (English) Zbl 1471.65185 Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 261-281 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65N30 65N55 65Y05 65F10 76D07 74K20 PDFBibTeX XMLCite \textit{O. B. Widlund}, Contemp. Math. 754, 261--281 (2020; Zbl 1471.65185) Full Text: DOI
Zhang, Xiaoxuan; Garikipati, Krishna Machine learning materials physics: multi-resolution neural networks learn the free energy and nonlinear elastic response of evolving microstructures. (English) Zbl 1506.74243 Comput. Methods Appl. Mech. Eng. 372, Article ID 113362, 25 p. (2020). MSC: 74N15 74B20 68T07 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{K. Garikipati}, Comput. Methods Appl. Mech. Eng. 372, Article ID 113362, 25 p. (2020; Zbl 1506.74243) Full Text: DOI arXiv
Kalantzis, Vassilis A domain decomposition Rayleigh-Ritz algorithm for symmetric generalized eigenvalue problems. (English) Zbl 1467.65031 SIAM J. Sci. Comput. 42, No. 6, C410-C435 (2020). MSC: 65F15 15A18 65F50 PDFBibTeX XMLCite \textit{V. Kalantzis}, SIAM J. Sci. Comput. 42, No. 6, C410--C435 (2020; Zbl 1467.65031) Full Text: DOI
Jiang, Yi; Chen, Rongliang; Cai, Xiao-Chuan A highly parallel implicit domain decomposition method for the simulation of the left ventricle on unstructured meshes. (English) Zbl 1468.74066 Comput. Mech. 66, No. 6, 1461-1475 (2020). MSC: 74S05 74L15 74E30 92C10 65Y05 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Comput. Mech. 66, No. 6, 1461--1475 (2020; Zbl 1468.74066) 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 PDFBibTeX XMLCite \textit{C. Glusa} et al., SIAM J. Sci. Comput. 42, No. 6, C384--C409 (2020; Zbl 1461.65257) Full Text: DOI
Luo, Li; Cai, Xiao-Chuan; Yan, Zhengzheng; Xu, Lei; Keyes, David E. A multilayer nonlinear elimination preconditioned inexact Newton method for steady-state incompressible flow problems in three dimensions. (English) Zbl 1456.76104 SIAM J. Sci. Comput. 42, No. 6, B1404-B1428 (2020). MSC: 76M99 76D05 65N12 65N55 65Y05 PDFBibTeX XMLCite \textit{L. Luo} et al., SIAM J. Sci. Comput. 42, No. 6, B1404--B1428 (2020; Zbl 1456.76104) Full Text: DOI
Reynolds-Barredo, J. M.; Peraza-Rodríguez, H.; Sanchez, R.; Tribaldos, V. A novel efficient solver for Ampere’s equation in general toroidal topologies based on singular value decomposition techniques. (English) Zbl 1453.78011 J. Comput. Phys. 406, Article ID 109214, 15 p. (2020). MSC: 78M12 78A30 76W05 PDFBibTeX XMLCite \textit{J. M. Reynolds-Barredo} et al., J. Comput. Phys. 406, Article ID 109214, 15 p. (2020; Zbl 1453.78011) Full Text: DOI
Lin, Bo; Zhuang, Chijie; Cai, Zhenning; Zeng, Rong; Bao, Weizhu An efficient and accurate MPI-based parallel simulator for streamer discharges in three dimensions. (English) Zbl 1453.65255 J. Comput. Phys. 401, Article ID 109026, 19 p. (2020). MSC: 65M08 65M55 65Y05 65Z05 76X05 PDFBibTeX XMLCite \textit{B. Lin} et al., J. Comput. Phys. 401, Article ID 109026, 19 p. (2020; Zbl 1453.65255) Full Text: DOI arXiv
May, Ian C. T.; Haynes, Ronald D.; Ruuth, Steven J. Schwarz solvers and preconditioners for the closest point method. (English) Zbl 1457.65241 SIAM J. Sci. Comput. 42, No. 6, A3584-A3609 (2020). MSC: 65N55 65N22 65F08 65F10 65F50 PDFBibTeX XMLCite \textit{I. C. T. May} et al., SIAM J. Sci. Comput. 42, No. 6, A3584--A3609 (2020; Zbl 1457.65241) Full Text: DOI arXiv
Farrell, P. E.; Gazca-Orozco, P. A. An augmented Lagrangian preconditioner for implicitly constituted non-Newtonian incompressible flow. (English) Zbl 1458.65147 SIAM J. Sci. Comput. 42, No. 6, B1329-B1349 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N55 65N22 65F08 35Q35 76A05 PDFBibTeX XMLCite \textit{P. E. Farrell} and \textit{P. A. Gazca-Orozco}, SIAM J. Sci. Comput. 42, No. 6, B1329--B1349 (2020; Zbl 1458.65147) Full Text: DOI arXiv
Peng, Zhichao; Tang, Qi; Tang, Xian-Zhu An adaptive discontinuous Petrov-Galerkin method for the Grad-Shafranov equation. (English) Zbl 1451.65202 SIAM J. Sci. Comput. 42, No. 5, B1227-B1249 (2020). MSC: 65N30 65N50 65N55 65F10 35Q35 PDFBibTeX XMLCite \textit{Z. Peng} et al., SIAM J. Sci. Comput. 42, No. 5, B1227--B1249 (2020; Zbl 1451.65202) Full Text: DOI arXiv
Huang, Jizu; Yang, Chao; Wei, Ying Parallel energy-stable solver for a coupled Allen-Cahn and Cahn-Hilliard system. (English) Zbl 1452.74116 SIAM J. Sci. Comput. 42, No. 5, C294-C312 (2020). MSC: 74S20 74N20 65Y05 PDFBibTeX XMLCite \textit{J. Huang} et al., SIAM J. Sci. Comput. 42, No. 5, C294--C312 (2020; Zbl 1452.74116) Full Text: DOI arXiv
Kong, Fande; Wang, Yaqi; Gaston, Derek R.; Permann, Cody J.; Slaughter, Andrew E.; Lindsay, Alexander D.; DeHart, Mark D.; Martineau, Richard C. A highly parallel multilevel Newton-Krylov-Schwarz method with subspace-based coarsening and partition-based balancing for the multigroup neutron transport equation on three-dimensional unstructured meshes. (English) Zbl 1451.65221 SIAM J. Sci. Comput. 42, No. 5, C193-C220 (2020). MSC: 65N55 65Y05 65N25 65N30 65F08 65F10 82D75 35Q49 35Q82 PDFBibTeX XMLCite \textit{F. Kong} et al., SIAM J. Sci. Comput. 42, No. 5, C193--C220 (2020; Zbl 1451.65221) Full Text: DOI
Schween, Nils; Gerstner, Philipp; Meyer-Hübner, Nico; Slednev, Viktor; Leibfried, Thomas; Fichtner, Wolf; Bertsch, Valentin; Heuveline, Vincent A domain decomposition approach to solve dynamic optimal power flow problems in parallel. (English) Zbl 1447.93134 Bertsch, Valentin (ed.) et al., Advances in energy system optimization. Proceedings of the 2nd international symposium on energy system optimization, ISESO 2018, Karlsruhe, Germany, October 10–11, 2018. Cham: Birkhäuser. Trends Math., 41-64 (2020). MSC: 93B70 93A15 93C05 PDFBibTeX XMLCite \textit{N. Schween} et al., in: Advances in energy system optimization. Proceedings of the 2nd international symposium on energy system optimization, ISESO 2018, Karlsruhe, Germany, October 10--11, 2018. Cham: Birkhäuser. 41--64 (2020; Zbl 1447.93134) Full Text: DOI
He, Yunhui; MacLachlan, Scott Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian. (English) Zbl 1463.65403 Numer. Linear Algebra Appl. 27, No. 3, e2285, 27 p. (2020). Reviewer: Ivana Pultarová (Praha) MSC: 65N55 65F08 65N22 65F10 PDFBibTeX XMLCite \textit{Y. He} and \textit{S. MacLachlan}, Numer. Linear Algebra Appl. 27, No. 3, e2285, 27 p. (2020; Zbl 1463.65403) Full Text: DOI
Luo, Li; Liu, Lulu; Cai, Xiao-Chuan; Keyes, David E. Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids. (English) Zbl 1435.76038 J. Comput. Phys. 409, Article ID 109312, 19 p. (2020). MSC: 76M10 76S05 76T06 65Y05 PDFBibTeX XMLCite \textit{L. Luo} et al., J. Comput. Phys. 409, Article ID 109312, 19 p. (2020; Zbl 1435.76038) Full Text: DOI