Botti, Lorenzo; Di Pietro, Daniele A. \(p\)-multilevel preconditioners for HHO discretizations of the Stokes equations with static condensation. (English) Zbl 07570477 Commun. Appl. Math. Comput. 4, No. 3, 783-822 (2022). MSC: 35Q30 76D07 65N55 PDF BibTeX XML Cite \textit{L. Botti} and \textit{D. A. Di Pietro}, Commun. Appl. Math. Comput. 4, No. 3, 783--822 (2022; Zbl 07570477) Full Text: DOI OpenURL
Ciaramella, G.; Vanzan, T. Substructured two-grid and multi-grid domain decomposition methods. (English) Zbl 07570474 Numer. Algorithms 91, No. 1, 413-448 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{G. Ciaramella} and \textit{T. Vanzan}, Numer. Algorithms 91, No. 1, 413--448 (2022; Zbl 07570474) Full Text: DOI OpenURL
Xu, Fei; Xie, Manting; Huang, Qiumei; Yue, Meiling; Ma, Hongkun Convergence and optimality of adaptive multigrid method for multiple eigenvalue problems. (English) Zbl 07567529 J. Comput. Appl. Math. 415, Article ID 114450, 20 p. (2022). MSC: 65N25 65N30 65N55 35J61 65N12 65N15 PDF BibTeX XML Cite \textit{F. Xu} et al., J. Comput. Appl. Math. 415, Article ID 114450, 20 p. (2022; Zbl 07567529) Full Text: DOI OpenURL
Ainsworth, Mark; Jiang, Shuai A systematic approach to constructing preconditioners for the \(hp\)-version mass matrix on unstructured and hybrid finite element meshes. (English) Zbl 07566193 SIAM J. Sci. Comput. 44, No. 2, A901-A934 (2022). MSC: 65N30 65N55 65F08 PDF BibTeX XML Cite \textit{M. Ainsworth} and \textit{S. Jiang}, SIAM J. Sci. Comput. 44, No. 2, A901--A934 (2022; Zbl 07566193) Full Text: DOI OpenURL
Wang, Yan; Li, Chenliang A modulus-based cascadic multigrid method for elliptic variational inequality problems. (English) Zbl 07565435 Numer. Algorithms 90, No. 4, 1777-1791 (2022). MSC: 65F10 65N55 65N12 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{C. Li}, Numer. Algorithms 90, No. 4, 1777--1791 (2022; Zbl 07565435) Full Text: DOI OpenURL
Hofreither, Clemens; Mitter, Ludwig; Speleers, Hendrik Local multigrid solvers for adaptive isogeometric analysis in hierarchical spline spaces. (English) Zbl 07563199 IMA J. Numer. Anal. 42, No. 3, 2429-2458 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{C. Hofreither} et al., IMA J. Numer. Anal. 42, No. 3, 2429--2458 (2022; Zbl 07563199) Full Text: DOI OpenURL
Hu, Hanzhang; Chen, Yanping A characteristic mixed finite element two-grid method for compressible miscible displacement problem. (English) Zbl 07560297 J. Comput. Math. 40, No. 5, 798-817 (2022). MSC: 65M06 65M12 65M15 65M55 PDF BibTeX XML Cite \textit{H. Hu} and \textit{Y. Chen}, J. Comput. Math. 40, No. 5, 798--817 (2022; Zbl 07560297) Full Text: DOI OpenURL
Tran, Minh-Phuong; Nguyen, Thanh-Nhan; Huynh, Phuoc-Toan; Ly, Nhu-Binh; Nguyen, Minh-Dang; Ho, Quoc-Anh Convergence results for non-overlap Schwarz waveform relaxation algorithm with changing transmission conditions. (English) Zbl 07560238 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 105-126 (2022). MSC: 65N55 65M12 65M60 35K57 PDF BibTeX XML Cite \textit{M.-P. Tran} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 1, 105--126 (2022; Zbl 07560238) Full Text: DOI OpenURL
Yue, Meiling; Xu, Fei; Xie, Manting A multilevel Newton’s method for the Steklov eigenvalue problem. (English) Zbl 07560212 Adv. Comput. Math. 48, No. 3, Paper No. 33, 29 p. (2022). MSC: 35Q99 65N25 65N30 65N55 PDF BibTeX XML Cite \textit{M. Yue} et al., Adv. Comput. Math. 48, No. 3, Paper No. 33, 29 p. (2022; Zbl 07560212) Full Text: DOI OpenURL
Badea, Lori On the resolution of the variational inequalities of the first and the second kind as equations obtained by explicit Moreau-Yosida regularizations. (English) Zbl 07558443 Appl. Math. Optim. 86, No. 2, Paper No. 17, 21 p. (2022). MSC: 65N55 65K15 65N30 35A23 35B65 65N12 65N15 74M15 74M10 PDF BibTeX XML Cite \textit{L. Badea}, Appl. Math. Optim. 86, No. 2, Paper No. 17, 21 p. (2022; Zbl 07558443) Full Text: DOI OpenURL
Martynenko, S. I.; Gökalp, I.; Bakhtin, V. A.; Karaca, M.; Toktaliev, P. D.; Semenëv, P. A. Application of robust multigrid technique for parallel solution of the initial-boundary problems. (Russian. English summary) Zbl 07557299 Mat. Model. 34, No. 5, 73-87 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{S. I. Martynenko} et al., Mat. Model. 34, No. 5, 73--87 (2022; Zbl 07557299) Full Text: DOI MNR OpenURL
Barbarino, Giovanni; Garoni, Carlo; Mazza, Mariarosa; Serra-Capizzano, Stefano Rectangular GLT sequences. (English) Zbl 07556365 ETNA, Electron. Trans. Numer. Anal. 55, 585-617 (2022). MSC: 15B05 47B06 65N30 15A69 65D07 65N55 PDF BibTeX XML Cite \textit{G. Barbarino} et al., ETNA, Electron. Trans. Numer. Anal. 55, 585--617 (2022; Zbl 07556365) Full Text: DOI Link OpenURL
Adler, James H.; He, Yunhui; Hu, Xiaozhe; MacLachlan, Scott; Ohm, Peter Monolithic multigrid for a reduced-quadrature discretization of poroelasticity. (English) Zbl 07556261 SIAM J. Sci. Comput. 44, No. 3, S54-S81 (2022). MSC: 65F08 65F10 65M55 65M60 65N22 76S05 PDF BibTeX XML Cite \textit{J. H. Adler} et al., SIAM J. Sci. Comput. 44, No. 3, S54--S81 (2022; Zbl 07556261) Full Text: DOI OpenURL
Ainsworth, Mark; Parker, Charles A mass conserving mixed \(hp\)-FEM scheme for Stokes flow. III: Implementation and preconditioning. (English) Zbl 07556063 SIAM J. Numer. Anal. 60, No. 3, 1574-1606 (2022). MSC: 65N30 65N55 65F08 65F10 35P15 76M10 76D07 PDF BibTeX XML Cite \textit{M. Ainsworth} and \textit{C. Parker}, SIAM J. Numer. Anal. 60, No. 3, 1574--1606 (2022; Zbl 07556063) Full Text: DOI OpenURL
Feodoritova, O. B.; Krasnov, M. M.; Novikova, N. D.; Zhukov, V. T. Multigrid method for numerical modelling of high temperature superconductors. (English) Zbl 07552139 Math. Montisnigri 53, 72-89 (2022). MSC: 35K05 65M55 82D55 PDF BibTeX XML Cite \textit{O. B. Feodoritova} et al., Math. Montisnigri 53, 72--89 (2022; Zbl 07552139) Full Text: DOI OpenURL
Yang, Yanfang; Fu, Shubin; Chung, Eric T. An adaptive generalized multiscale finite element method based two-grid preconditioner for large scale high-contrast linear elasticity problems. (English) Zbl 07549609 J. Sci. Comput. 92, No. 1, Paper No. 21, 22 p. (2022). MSC: 65N30 65N55 65N50 65F08 65F10 74S05 PDF BibTeX XML Cite \textit{Y. Yang} et al., J. Sci. Comput. 92, No. 1, Paper No. 21, 22 p. (2022; Zbl 07549609) Full Text: DOI OpenURL
Brenner, Susanne C.; Garay, José C.; Sung, Li-Yeng Multiscale finite element methods for an elliptic optimal control problem with rough coefficients. (English) Zbl 07547965 J. Sci. Comput. 91, No. 3, Paper No. 76, 30 p. (2022). MSC: 65N30 65N15 65N55 49N10 PDF BibTeX XML Cite \textit{S. C. Brenner} et al., J. Sci. Comput. 91, No. 3, Paper No. 76, 30 p. (2022; Zbl 07547965) Full Text: DOI OpenURL
Gbikpi-Benissan, Guillaume; Magoulès, Frédéric Asynchronous multiplicative coarse-space correction. (English) Zbl 07547919 SIAM J. Sci. Comput. 44, No. 3, C237-C259 (2022). MSC: 65Y05 65F10 65N55 49M20 PDF BibTeX XML Cite \textit{G. Gbikpi-Benissan} and \textit{F. Magoulès}, SIAM J. Sci. Comput. 44, No. 3, C237--C259 (2022; Zbl 07547919) Full Text: DOI OpenURL
Ciaramella, Gabriele; Vanzan, Tommaso Spectral coarse spaces for the substructured parallel Schwarz method. (English) Zbl 07545430 J. Sci. Comput. 91, No. 3, Paper No. 69, 33 p. (2022). MSC: 65N55 65F10 65N22 PDF BibTeX XML Cite \textit{G. Ciaramella} and \textit{T. Vanzan}, J. Sci. Comput. 91, No. 3, Paper No. 69, 33 p. (2022; Zbl 07545430) Full Text: DOI OpenURL
Kühn, Martin J.; Kruse, Carola; Rüde, Ulrich Implicitly extrapolated geometric multigrid on disk-like domains for the gyrokinetic Poisson equation from fusion plasma applications. (English) Zbl 07543416 J. Sci. Comput. 91, No. 1, Paper No. 28, 27 p. (2022). MSC: 65N55 65N06 65N30 65B99 PDF BibTeX XML Cite \textit{M. J. Kühn} et al., J. Sci. Comput. 91, No. 1, Paper No. 28, 27 p. (2022; Zbl 07543416) Full Text: DOI OpenURL
Liu, Tao Parameter estimation with the multigrid-homotopy method for a nonlinear diffusion equation. (English) Zbl 07542698 J. Comput. Appl. Math. 413, Article ID 114393, 14 p. (2022). MSC: 65-XX 35Rxx 65Mxx 65Nxx PDF BibTeX XML Cite \textit{T. Liu}, J. Comput. Appl. Math. 413, Article ID 114393, 14 p. (2022; Zbl 07542698) Full Text: DOI OpenURL
Schleuß, Julia; Smetana, Kathrin Optimal local approximation spaces for parabolic problems. (English) Zbl 1487.65157 Multiscale Model. Simul. 20, No. 1, 551-582 (2022). MSC: 65M60 65M12 65M15 65M55 PDF BibTeX XML Cite \textit{J. Schleuß} and \textit{K. Smetana}, Multiscale Model. Simul. 20, No. 1, 551--582 (2022; Zbl 1487.65157) Full Text: DOI OpenURL
Gao, Bin; Hu, Guanghui; Kuang, Yang; Liu, Xin An orthogonalization-free parallelizable framework for all-electron calculations in density functional theory. (English) Zbl 07538374 SIAM J. Sci. Comput. 44, No. 3, B723-B745 (2022). MSC: 35Q55 82M36 65N30 49M41 90C06 65Y05 65N55 65P30 PDF BibTeX XML Cite \textit{B. Gao} et al., SIAM J. Sci. Comput. 44, No. 3, B723--B745 (2022; Zbl 07538374) Full Text: DOI OpenURL
Badia, Ismaïl; Caudron, Boris; Antoine, Xavier; Geuzaine, Christophe A well-conditioned weak coupling of boundary element and high-order finite element methods for time-harmonic electromagnetic scattering by inhomogeneous objects. (English) Zbl 07538371 SIAM J. Sci. Comput. 44, No. 3, B640-B667 (2022). MSC: 35Q61 78A45 41A21 65N38 65N30 65F08 65N55 PDF BibTeX XML Cite \textit{I. Badia} et al., SIAM J. Sci. Comput. 44, No. 3, B640--B667 (2022; Zbl 07538371) Full Text: DOI OpenURL
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan Flux-mortar mixed finite element methods on nonmatching grids. (English) Zbl 07538281 SIAM J. Numer. Anal. 60, No. 3, 1193-1225 (2022). MSC: 65N30 65N12 65N15 65N55 65N50 35B45 35A01 35A02 76S05 76D07 PDF BibTeX XML Cite \textit{W. M. Boon} et al., SIAM J. Numer. Anal. 60, No. 3, 1193--1225 (2022; Zbl 07538281) Full Text: DOI OpenURL
Margenberg, Nils; Lessig, Christian; Richter, Thomas Structure preservation for the deep neural network multigrid solver. (English) Zbl 1487.65153 ETNA, Electron. Trans. Numer. Anal. 56, 86-101 (2022). MSC: 65M60 65M55 68T07 76D05 PDF BibTeX XML Cite \textit{N. Margenberg} et al., ETNA, Electron. Trans. Numer. Anal. 56, 86--101 (2022; Zbl 1487.65153) Full Text: DOI OpenURL
Belyaev, V. A.; Bryndin, L. S.; Golushko, S. K.; Semisalov, B. V.; Shapeev, V. P. h-, p-, and hp-versions of the least-squares collocation method for solving boundary value problems for biharmonic equation in irregular domains and their applications. (English. Russian original) Zbl 07538076 Comput. Math. Math. Phys. 62, No. 4, 517-537 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 531-552 (2022). MSC: 65N35 65N12 65N55 31A30 74K20 35Q74 PDF BibTeX XML Cite \textit{V. A. Belyaev} et al., Comput. Math. Math. Phys. 62, No. 4, 517--537 (2022; Zbl 07538076); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 531--552 (2022) Full Text: DOI OpenURL
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver; Widlund, Olof B. Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. (English) Zbl 07537258 SIAM J. Sci. Comput. 44, No. 3, A1176-A1204 (2022). MSC: 65F08 65F10 65N55 68W10 PDF BibTeX XML Cite \textit{A. Heinlein} et al., SIAM J. Sci. Comput. 44, No. 3, A1176--A1204 (2022; Zbl 07537258) Full Text: DOI OpenURL
Botti, Lorenzo; Verzeroli, Luca BR2 discontinuous Galerkin methods for finite hyperelastic deformations. (English) Zbl 07536792 J. Comput. Phys. 463, Article ID 111303, 22 p. (2022). MSC: 74Sxx 65Nxx 74Bxx PDF BibTeX XML Cite \textit{L. Botti} and \textit{L. Verzeroli}, J. Comput. Phys. 463, Article ID 111303, 22 p. (2022; Zbl 07536792) Full Text: DOI OpenURL
Franceschini, Andrea; Gazzola, Laura; Ferronato, Massimiliano A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures. (English) Zbl 07536775 J. Comput. Phys. 463, Article ID 111276, 22 p. (2022). MSC: 65Fxx 65Nxx 74Sxx PDF BibTeX XML Cite \textit{A. Franceschini} et al., J. Comput. Phys. 463, Article ID 111276, 22 p. (2022; Zbl 07536775) Full Text: DOI OpenURL
Claeys, Xavier; Parolin, Emile Robust treatment of cross-points in optimized Schwarz methods. (English) Zbl 07536677 Numer. Math. 151, No. 2, 405-442 (2022). MSC: 65N55 65N30 65N50 65N12 65F10 65N22 35J05 PDF BibTeX XML Cite \textit{X. Claeys} and \textit{E. Parolin}, Numer. Math. 151, No. 2, 405--442 (2022; Zbl 07536677) Full Text: DOI OpenURL
Bui, Duc Quang; Japhet, Caroline; Maday, Yvon; Omnes, Pascal Coupling parareal with optimized Schwarz waveform relaxation for parabolic problems. (English) Zbl 07534664 SIAM J. Numer. Anal. 60, No. 3, 913-939 (2022). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M55 35K20 65M60 65M06 65N30 65M50 65M12 65M22 65Y05 PDF BibTeX XML Cite \textit{D. Q. Bui} et al., SIAM J. Numer. Anal. 60, No. 3, 913--939 (2022; Zbl 07534664) Full Text: DOI OpenURL
Pazner, Will; Kolev, Tzanio Uniform subspace correction preconditioners for discontinuous Galerkin methods with \(hp\)-refinement. (English) Zbl 07534236 Commun. Appl. Math. Comput. 4, No. 2, 697-727 (2022). MSC: 65N55 65N30 65N22 PDF BibTeX XML Cite \textit{W. Pazner} and \textit{T. Kolev}, Commun. Appl. Math. Comput. 4, No. 2, 697--727 (2022; Zbl 07534236) Full Text: DOI OpenURL
Gooran, Orimi Atefeh; Effati, Sohrab; Farahi, Mohammad Hadi Approximate solution of the Hamilton-Jacobi-Bellman equation. (English) Zbl 07533921 J. Math. Model. 10, No. 1, 71-91 (2022). MSC: 34A34 65L05 PDF BibTeX XML Cite \textit{O. A. Gooran} et al., J. Math. Model. 10, No. 1, 71--91 (2022; Zbl 07533921) Full Text: DOI OpenURL
Li, Xiaoli; Chen, Yanping; Chen, Chuanjun An improved two-grid technique for the nonlinear time-fractional parabolic equation based on the block-centered finite difference method. (English) Zbl 07533105 J. Comput. Math. 40, No. 3, 455-473 (2022). MSC: 26A33 65M06 65M12 65M15 65M55 PDF BibTeX XML Cite \textit{X. Li} et al., J. Comput. Math. 40, No. 3, 455--473 (2022; Zbl 07533105) Full Text: DOI OpenURL
Li, Jian; Wang, Xue; Al Mahbub, Md. Abdullah; Zheng, Haibiao; Chen, Zhangxin Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system. (English) Zbl 07531738 J. Comput. Appl. Math. 412, Article ID 114326, 18 p. (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 65M55 65Y05 76S05 76D07 35J05 PDF BibTeX XML Cite \textit{J. Li} et al., J. Comput. Appl. Math. 412, Article ID 114326, 18 p. (2022; Zbl 07531738) Full Text: DOI OpenURL
Wang, Dongwu; Zheng, Bin; Chen, Long; Lin, Guang; Xu, Jinchao Block triangular preconditioning for stochastic Galerkin method. (English) Zbl 07531727 J. Comput. Appl. Math. 412, Article ID 114298, 18 p. (2022). MSC: 65C30 60H35 35R60 PDF BibTeX XML Cite \textit{D. Wang} et al., J. Comput. Appl. Math. 412, Article ID 114298, 18 p. (2022; Zbl 07531727) Full Text: DOI OpenURL
Aretaki, Aikaterini; Karatzas, Efthymios N. Random geometries for optimal control PDE problems based on fictitious domain FEMs and cut elements. (English) Zbl 07531723 J. Comput. Appl. Math. 412, Article ID 114286, 19 p. (2022). MSC: 65N30 65C05 65N55 65F08 65F10 65F50 65N15 49M41 60H30 35R11 PDF BibTeX XML Cite \textit{A. Aretaki} and \textit{E. N. Karatzas}, J. Comput. Appl. Math. 412, Article ID 114286, 19 p. (2022; Zbl 07531723) Full Text: DOI OpenURL
Li, Xiao; Meng, Xiaoying; Xiong, Bo A fractional variational image denoising model with two-component regularization terms. (English) Zbl 07531286 Appl. Math. Comput. 427, Article ID 127178, 14 p. (2022). MSC: 65M55 68U10 65M12 94A08 PDF BibTeX XML Cite \textit{X. Li} et al., Appl. Math. Comput. 427, Article ID 127178, 14 p. (2022; Zbl 07531286) Full Text: DOI OpenURL
Pan, Kejia; Wu, Xiaoxin; Yu, Yunlong; Sheng, Zhiqiang; Yuan, Guangwei Extrapolation cascadic multigrid method for cell-centered FV discretization of diffusion equations with strongly discontinuous and anisotropic coefficients. (English) Zbl 1486.65281 Commun. Comput. Phys. 31, No. 5, 1561-1584 (2022). MSC: 65N55 65N08 PDF BibTeX XML Cite \textit{K. Pan} et al., Commun. Comput. Phys. 31, No. 5, 1561--1584 (2022; Zbl 1486.65281) Full Text: DOI OpenURL
Franceschini, Andrea; Ferronato, Massimiliano; Frigo, Matteo; Janna, Carlo A reverse augmented constraint preconditioner for Lagrange multiplier methods in contact mechanics. (English) Zbl 07525985 Comput. Methods Appl. Mech. Eng. 392, Article ID 114632, 21 p. (2022). MSC: 65F08 65N55 PDF BibTeX XML Cite \textit{A. Franceschini} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114632, 21 p. (2022; Zbl 07525985) Full Text: DOI OpenURL
Kothari, Hardik; Krause, Rolf A generalized multigrid method for solving contact problems in Lagrange multiplier based unfitted finite element method. (English) Zbl 07525984 Comput. Methods Appl. Mech. Eng. 392, Article ID 114630, 29 p. (2022). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{H. Kothari} and \textit{R. Krause}, Comput. Methods Appl. Mech. Eng. 392, Article ID 114630, 29 p. (2022; Zbl 07525984) Full Text: DOI OpenURL
Margenberg, Nils; Hartmann, Dirk; Lessig, Christian; Richter, Thomas A neural network multigrid solver for the Navier-Stokes equations. (English) Zbl 07525148 J. Comput. Phys. 460, Article ID 110983, 19 p. (2022). MSC: 65Nxx 76Dxx 76Mxx PDF BibTeX XML Cite \textit{N. Margenberg} et al., J. Comput. Phys. 460, Article ID 110983, 19 p. (2022; Zbl 07525148) Full Text: DOI OpenURL
Saberi, S.; Meschke, G.; Vogel, A. A restricted additive vanka smoother for geometric multigrid. (English) Zbl 07525121 J. Comput. Phys. 459, Article ID 111123, 16 p. (2022). MSC: 65Nxx 65Fxx 76Dxx PDF BibTeX XML Cite \textit{S. Saberi} et al., J. Comput. Phys. 459, Article ID 111123, 16 p. (2022; Zbl 07525121) Full Text: DOI OpenURL
Pan, Kejia; Wu, Xiaoxin; Hu, Hongling; Yu, Yunlong; Li, Zhilin A new FV scheme and fast cell-centered multigrid solver for 3D anisotropic diffusion equations with discontinuous coefficients. (English) Zbl 07524790 J. Comput. Phys. 449, Article ID 110794, 19 p. (2022). MSC: 65Nxx 65Mxx 35Jxx PDF BibTeX XML Cite \textit{K. Pan} et al., J. Comput. Phys. 449, Article ID 110794, 19 p. (2022; Zbl 07524790) Full Text: DOI OpenURL
Pan, Y.; Persson, P.-O. Agglomeration-based geometric multigrid solvers for compact discontinuous Galerkin discretizations on unstructured meshes. (English) Zbl 07524773 J. Comput. Phys. 449, Article ID 110775, 12 p. (2022). MSC: 65Nxx 65Fxx 35Jxx PDF BibTeX XML Cite \textit{Y. Pan} and \textit{P. O. Persson}, J. Comput. Phys. 449, Article ID 110775, 12 p. (2022; Zbl 07524773) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{E. Aulisa} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 220--236 (2022; Zbl 1485.65028) Full Text: Link OpenURL
Hurtado-de-Mendoza, Aurelio; Kou, Jiaqing; Joshi, Saumitra; Puri, Kunal; Hirsch, Charles; Ferrer, Esteban Non-modal analysis of linear multigrid schemes for the high-order flux reconstruction method. (English) Zbl 07518117 J. Comput. Phys. 456, Article ID 111070, 26 p. (2022). MSC: 65Mxx 65Nxx 76Mxx PDF BibTeX XML Cite \textit{A. Hurtado-de-Mendoza} et al., J. Comput. Phys. 456, Article ID 111070, 26 p. (2022; Zbl 07518117) Full Text: DOI OpenURL
Chen, Yuyan; Dong, Bin; Xu, Jinchao Meta-mgnet: meta multigrid networks for solving parameterized partial differential equations. (English) Zbl 07518081 J. Comput. Phys. 455, Article ID 110996, 26 p. (2022). MSC: 65Nxx 68Txx 76Mxx PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Phys. 455, Article ID 110996, 26 p. (2022; Zbl 07518081) Full Text: DOI OpenURL
Du, Yongle; Cai, Jinsheng A novel coarse grid boundary treatment for multigrid algorithms in computational fluid dynamics simulations. (English) Zbl 07517172 J. Comput. Phys. 451, Article ID 110889, 7 p. (2022). MSC: 76Mxx 65Nxx 76Nxx PDF BibTeX XML Cite \textit{Y. Du} and \textit{J. Cai}, J. Comput. Phys. 451, Article ID 110889, 7 p. (2022; Zbl 07517172) Full Text: DOI OpenURL
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 OpenURL
Voronin, Alexey; He, Yunhui; MacLachlan, Scott; Olson, Luke N.; Tuminaro, Raymond Low-order preconditioning of the Stokes equations. (English) Zbl 07511607 Numer. Linear Algebra Appl. 29, No. 3, e2426, 17 p. (2022). MSC: 65F08 65N55 PDF BibTeX XML Cite \textit{A. Voronin} et al., Numer. Linear Algebra Appl. 29, No. 3, e2426, 17 p. (2022; Zbl 07511607) Full Text: DOI OpenURL
Kogler, Lukas; Schöberl, Joachim An algebraic multigrid method for elasticity based on an auxiliary topology with edge matrices. (English) Zbl 07511589 Numer. Linear Algebra Appl. 29, No. 1, e2408, 25 p. (2022). MSC: 65N30 65N55 PDF BibTeX XML Cite \textit{L. Kogler} and \textit{J. Schöberl}, Numer. Linear Algebra Appl. 29, No. 1, e2408, 25 p. (2022; Zbl 07511589) Full Text: DOI OpenURL
Buttari, Alfredo; Huber, Markus; Leleux, Philippe; Mary, Theo; Rüde, Ulrich; Wohlmuth, Barbara Block low-rank single precision coarse grid solvers for extreme scale multigrid methods. (English) Zbl 07511588 Numer. Linear Algebra Appl. 29, No. 1, e2407, 15 p. (2022). MSC: 65N55 PDF BibTeX XML Cite \textit{A. Buttari} et al., Numer. Linear Algebra Appl. 29, No. 1, e2407, 15 p. (2022; Zbl 07511588) Full Text: DOI OpenURL
Heinlein, Alexander; Perego, Mauro; Rajamanickam, Sivasankaran FROSch preconditioners for land ice simulations of Greenland and Antarctica. (English) Zbl 07511034 SIAM J. Sci. Comput. 44, No. 2, B339-B367 (2022). MSC: 65F08 65Y05 65M55 65N55 PDF BibTeX XML Cite \textit{A. Heinlein} et al., SIAM J. Sci. Comput. 44, No. 2, B339--B367 (2022; Zbl 07511034) Full Text: DOI OpenURL
Kohl, Nils; Rüde, Ulrich Textbook efficiency: massively parallel matrix-free multigrid for the Stokes system. (English) Zbl 07511032 SIAM J. Sci. Comput. 44, No. 2, C124-C155 (2022). MSC: 65F10 65N30 65N55 65F08 PDF BibTeX XML Cite \textit{N. Kohl} and \textit{U. Rüde}, SIAM J. Sci. Comput. 44, No. 2, C124--C155 (2022; Zbl 07511032) Full Text: DOI OpenURL
MacLachlan, Scott P.; Madden, Niall; Nhan, Thái Anh A boundary-layer preconditioner for singularly perturbed convection diffusion. (English) Zbl 07511022 SIAM J. Matrix Anal. Appl. 43, No. 2, 561-583 (2022). MSC: 65F08 65N22 65N55 PDF BibTeX XML Cite \textit{S. P. MacLachlan} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 561--583 (2022; Zbl 07511022) Full Text: DOI OpenURL
Xu, Xuefeng; Zhang, Chen-Song A new analytical framework for the convergence of inexact two-grid methods. (English) Zbl 07511020 SIAM J. Matrix Anal. Appl. 43, No. 1, 512-533 (2022). MSC: 65F08 65F10 65N55 15A18 PDF BibTeX XML Cite \textit{X. Xu} and \textit{C.-S. Zhang}, SIAM J. Matrix Anal. Appl. 43, No. 1, 512--533 (2022; Zbl 07511020) Full Text: DOI OpenURL
Xu, Fei; Huang, Qiumei; Chen, Shuangshuang; Ma, Hongkun Adaptive multigrid method for eigenvalue problem. (English) Zbl 07509154 Int. J. Numer. Anal. Model. 19, No. 1, 1-18 (2022). MSC: 65F15 65N15 65N25 65N30 65N50 PDF BibTeX XML Cite \textit{F. Xu} et al., Int. J. Numer. Anal. Model. 19, No. 1, 1--18 (2022; Zbl 07509154) Full Text: Link OpenURL
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 OpenURL
Kozyrev, A. N.; Sveshnikov, V. M. Mathematical modeling of intense charged particles beams in extended electron-optical systems. (Russian. English summary) Zbl 1487.78008 Mat. Model. 34, No. 3, 71-84 (2022). MSC: 78A35 78A60 78M99 35J05 65N55 65F10 PDF BibTeX XML Cite \textit{A. N. Kozyrev} and \textit{V. M. Sveshnikov}, Mat. Model. 34, No. 3, 71--84 (2022; Zbl 1487.78008) Full Text: DOI MNR OpenURL
Engström, Emil; Hansen, Eskil Convergence analysis of the nonoverlapping Robin-Robin method for nonlinear elliptic equations. (English) Zbl 07498294 SIAM J. Numer. Anal. 60, No. 2, 585-605 (2022). MSC: 65N55 65J15 65N12 35J70 47N20 PDF BibTeX XML Cite \textit{E. Engström} and \textit{E. Hansen}, SIAM J. Numer. Anal. 60, No. 2, 585--605 (2022; Zbl 07498294) Full Text: DOI OpenURL
Wang, Wei; Zhang, Zhimin Spectral element methods for eigenvalue problems based on domain decomposition. (English) Zbl 07495539 SIAM J. Sci. Comput. 44, No. 2, A689-A719 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N25 65N55 65N12 65Y05 PDF BibTeX XML Cite \textit{W. Wang} and \textit{Z. Zhang}, SIAM J. Sci. Comput. 44, No. 2, A689--A719 (2022; Zbl 07495539) Full Text: DOI OpenURL
Lu, Qing; Wang, Junxian; Shu, Shi; Peng, Jie Two-level overlapping Schwarz methods based on local generalized eigenproblems for Hermitian variational problems. (English) Zbl 07495536 SIAM J. Sci. Comput. 44, No. 2, A605-A635 (2022). MSC: 65F10 65N30 65N55 PDF BibTeX XML Cite \textit{Q. Lu} et al., SIAM J. Sci. Comput. 44, No. 2, A605--A635 (2022; Zbl 07495536) Full Text: DOI OpenURL
Monica Huynh, Ngoc Mai; 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 07495532 SIAM J. Sci. Comput. 44, No. 2, B224-B249 (2022). MSC: 65N55 65M55 65F10 92C30 PDF BibTeX XML Cite \textit{N. M. Monica Huynh} et al., SIAM J. Sci. Comput. 44, No. 2, B224--B249 (2022; Zbl 07495532) Full Text: DOI OpenURL
Li, Shengyue; Cao, Wanrong; Hao, Zhaopeng An extrapolated finite difference method for two-dimensional fractional boundary value problems with non-smooth solution. (English) Zbl 07494124 Int. J. Comput. Math. 99, No. 2, 274-291 (2022). MSC: 26A33 65M06 65M12 65M55 65T50 PDF BibTeX XML Cite \textit{S. Li} et al., Int. J. Comput. Math. 99, No. 2, 274--291 (2022; Zbl 07494124) Full Text: DOI OpenURL
Xia, Yifan; Zheng, Jianjing; Zou, Jianfeng; Zhang, Jifa; Wang, Gaofeng; Zheng, Yao Mesh adaptation for curing the pathological behaviors of an upwind scheme. (English) Zbl 1483.65146 Commun. Comput. Phys. 31, No. 2, 626-644 (2022). MSC: 65M08 65M12 65M55 PDF BibTeX XML Cite \textit{Y. Xia} et al., Commun. Comput. Phys. 31, No. 2, 626--644 (2022; Zbl 1483.65146) Full Text: DOI OpenURL
Yue, Xiaoqiang; Wang, Chunqing; Xu, Xiaowen; Wang, Libo; Shu, Shi A new relaxed splitting preconditioner for multidimensional multi-group radiation diffusion equations. (English) Zbl 1482.65167 East Asian J. Appl. Math. 12, No. 1, 163-184 (2022). MSC: 65M08 65F08 65F10 65M22 65Y05 78M12 PDF BibTeX XML Cite \textit{X. Yue} et al., East Asian J. Appl. Math. 12, No. 1, 163--184 (2022; Zbl 1482.65167) Full Text: DOI OpenURL
Schneckenleitner, Rainer; Takacs, Stefan Convergence theory for IETI-DP solvers for discontinuous Galerkin isogeometric analysis that is explicit in \(h\) and \(p\). (English) Zbl 1482.65214 Comput. Methods Appl. Math. 22, No. 1, 199-225 (2022). MSC: 65N30 65D07 65F08 65N12 65N22 65N55 PDF BibTeX XML Cite \textit{R. Schneckenleitner} and \textit{S. Takacs}, Comput. Methods Appl. Math. 22, No. 1, 199--225 (2022; Zbl 1482.65214) Full Text: DOI arXiv OpenURL
Langer, Ulrich; Steinbach, Olaf; Yang, Huidong Robust discretization and solvers for elliptic optimal control problems with energy regularization. (English) Zbl 1484.49048 Comput. Methods Appl. Math. 22, No. 1, 97-111 (2022). MSC: 49K20 49M41 35J25 65N12 65N30 65N55 PDF BibTeX XML Cite \textit{U. Langer} et al., Comput. Methods Appl. Math. 22, No. 1, 97--111 (2022; Zbl 1484.49048) Full Text: DOI arXiv OpenURL
Chen, Shuangshuang; Huang, Qiumei; Xu, Fei A two-grid decoupled algorithm for a multi-dimensional Darcy-Brinkman fracture model. (English) Zbl 07488701 J. Sci. Comput. 90, No. 3, Paper No. 88, 20 p. (2022). MSC: 65N55 65N30 65N15 76S05 76M10 35Q35 PDF BibTeX XML Cite \textit{S. Chen} et al., J. Sci. Comput. 90, No. 3, Paper No. 88, 20 p. (2022; Zbl 07488701) Full Text: DOI OpenURL
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 07487699 Comput. Methods Appl. Mech. Eng. 391, Article ID 114620, 20 p. (2022). MSC: 65F08 65N30 65N35 65N55 PDF BibTeX XML Cite \textit{F. Dassi} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114620, 20 p. (2022; Zbl 07487699) Full Text: DOI OpenURL
Bolten, Matthias; Donatelli, Marco; Ferrari, Paola; Furci, Isabella A symbol-based analysis for multigrid methods for block-circulant and block-Toeplitz systems. (English) Zbl 07487122 SIAM J. Matrix Anal. Appl. 43, No. 1, 405-438 (2022). MSC: 65Fxx 15B05 65N30 65N55 PDF BibTeX XML Cite \textit{M. Bolten} et al., SIAM J. Matrix Anal. Appl. 43, No. 1, 405--438 (2022; Zbl 07487122) Full Text: DOI arXiv OpenURL
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 07482215 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 07482215) Full Text: DOI OpenURL
Zhong, Liuqiang; Qiu, Dongxue; Peng, Jie Two-level iterative algorithms for two-dimensional H(curl)-elliptic problem with a symmetry interior penalty discontinuous Galerkin method. (English) Zbl 07478976 Appl. Math. Lett. 127, Article ID 107821, 5 p. (2022). MSC: 65N30 65N55 65N15 78A25 78M10 PDF BibTeX XML Cite \textit{L. Zhong} et al., Appl. Math. Lett. 127, Article ID 107821, 5 p. (2022; Zbl 07478976) Full Text: DOI OpenURL
Ryzhakov, P. B.; Marti, J.; Dialami, N. A unified arbitrary Lagrangian-Eulerian model for fluid-structure interaction problems involving flows in flexible channels. (English) Zbl 07477392 J. Sci. Comput. 90, No. 3, Paper No. 85, 22 p. (2022). MSC: 76Mxx 74Fxx 74Sxx PDF BibTeX XML Cite \textit{P. B. Ryzhakov} et al., J. Sci. Comput. 90, No. 3, Paper No. 85, 22 p. (2022; Zbl 07477392) Full Text: DOI OpenURL
Farrell, Patrick; Orozco, Pablo Alexei Gazca; Süli, Endre Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids. (English) Zbl 07473340 Math. Comput. 91, No. 334, 659-697 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N55 65F08 65F10 35D30 80A19 76A05 PDF BibTeX XML Cite \textit{P. Farrell} et al., Math. Comput. 91, No. 334, 659--697 (2022; Zbl 07473340) Full Text: DOI arXiv OpenURL
Liang, Qigang; Xu, Xuejun A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem. (English) Zbl 1483.65190 Math. Comput. 91, No. 334, 623-657 (2022). MSC: 65N30 65N25 65N55 65F15 65F35 PDF BibTeX XML Cite \textit{Q. Liang} and \textit{X. Xu}, Math. Comput. 91, No. 334, 623--657 (2022; Zbl 1483.65190) Full Text: DOI arXiv OpenURL
Bastian, Peter; Scheichl, Robert; Seelinger, Linus; Strehlow, Arne Multilevel spectral domain decomposition. (English) Zbl 1482.65223 SIAM J. Sci. Comput. 44, No. 1, S1-S26 (2022). MSC: 65N55 65F08 65F10 PDF BibTeX XML Cite \textit{P. Bastian} et al., SIAM J. Sci. Comput. 44, No. 1, S1--S26 (2022; Zbl 1482.65223) Full Text: DOI arXiv OpenURL
Park, Jintae; Lee, Chaeyoung; Choi, Yongho; Lee, Hyun Geun; Kwak, Soobin; Hwang, Youngjin; Kim, Junseok An unconditionally stable splitting method for the Allen-Cahn equation with logarithmic free energy. (English) Zbl 07469802 J. Eng. Math. 132, Paper No. 18, 18 p. (2022). MSC: 65M55 65M06 65N06 65F10 35Q35 PDF BibTeX XML Cite \textit{J. Park} et al., J. Eng. Math. 132, Paper No. 18, 18 p. (2022; Zbl 07469802) Full Text: DOI OpenURL
Berrone, Stefano; Grappein, Denise; Scialò, Stefano; Vicini, Fabio A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems. (English) Zbl 1478.65114 GEM. Int. J. Geomath. 13, Paper No. 1, 25 p. (2022). MSC: 65N30 49M41 65N22 65N50 65N55 86-08 PDF BibTeX XML Cite \textit{S. Berrone} et al., GEM. Int. J. Geomath. 13, Paper No. 1, 25 p. (2022; Zbl 1478.65114) Full Text: DOI arXiv OpenURL
Viguerie, Alex; Bertoluzza, Silvia; Veneziani, Alessandro; Auricchio, Ferdinando A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media. (English) Zbl 07468859 Appl. Numer. Math. 173, 94-111 (2022). Reviewer: Wei Gong (Beijing) MSC: 65N30 65N55 65N25 65N12 65F10 PDF BibTeX XML Cite \textit{A. Viguerie} et al., Appl. Numer. Math. 173, 94--111 (2022; Zbl 07468859) Full Text: DOI arXiv OpenURL
North, Evan; Tsynkov, Semyon; Turkel, Eli Non-iterative domain decomposition for the Helmholtz equation with strong material discontinuities. (English) Zbl 1484.35163 Appl. Numer. Math. 173, 51-78 (2022). MSC: 35J05 65N55 65N06 65N30 PDF BibTeX XML Cite \textit{E. North} et al., Appl. Numer. Math. 173, 51--78 (2022; Zbl 1484.35163) Full Text: DOI arXiv OpenURL
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 OpenURL
Wang, Liang; Yuan, Xinpeng; Xiong, Chunguang; Wu, Huibin A priori error analysis of discontinuous Galerkin isogeometric analysis approximations of Burgers on surface. (English) Zbl 07464724 Comput. Methods Appl. Mech. Eng. 390, Article ID 114342, 16 p. (2022). MSC: 65F10 65N30 65N55 PDF BibTeX XML Cite \textit{L. Wang} et al., Comput. Methods Appl. Mech. Eng. 390, Article ID 114342, 16 p. (2022; Zbl 07464724) Full Text: DOI OpenURL
Xu, Xuefeng; Zhang, Chen-Song Convergence analysis of inexact two-grid methods: a theoretical framework. (English) Zbl 1481.65049 SIAM J. Numer. Anal. 60, No. 1, 133-156 (2022). MSC: 65F08 65F10 65N55 15A18 PDF BibTeX XML Cite \textit{X. Xu} and \textit{C.-S. Zhang}, SIAM J. Numer. Anal. 60, No. 1, 133--156 (2022; Zbl 1481.65049) Full Text: DOI arXiv OpenURL
Hannukainen, Antti; Malinen, Jarmo; Ojalammi, Antti Distributed solution of Laplacian eigenvalue problems. (English) Zbl 07463752 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 07463752) Full Text: DOI arXiv OpenURL
Yi, Son-Young; Lee, Sanghyun; Zikatanov, Ludmil Locking-free enriched Galerkin method for linear elasticity. (English) Zbl 1483.65195 SIAM J. Numer. Anal. 60, No. 1, 52-75 (2022). MSC: 65N30 65N55 65F08 65F10 35B45 74B10 74S05 35Q74 PDF BibTeX XML Cite \textit{S.-Y. Yi} et al., SIAM J. Numer. Anal. 60, No. 1, 52--75 (2022; Zbl 1483.65195) Full Text: DOI OpenURL
Yang, Zhipeng; Ming, Ju; Qiu, Changxin; Li, Maojun; He, Xiaoming A multigrid multilevel Monte Carlo method for Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition. (English) Zbl 07458294 J. Sci. Comput. 90, No. 2, Paper No. 68, 30 p. (2022). MSC: 65-XX 35R60 65C05 65M60 76S05 PDF BibTeX XML Cite \textit{Z. Yang} et al., J. Sci. Comput. 90, No. 2, Paper No. 68, 30 p. (2022; Zbl 07458294) Full Text: DOI arXiv OpenURL
Jo, Gwanghyun; Ha, Youn Doh Effective multigrid algorithms for algebraic system arising from static peridynamic systems. (English) Zbl 1481.65258 Numer. Algorithms 89, No. 2, 885-904 (2022). MSC: 65N55 65H10 65F08 65F10 65F35 PDF BibTeX XML Cite \textit{G. Jo} and \textit{Y. D. Ha}, Numer. Algorithms 89, No. 2, 885--904 (2022; Zbl 1481.65258) Full Text: DOI OpenURL
Notay, Yvan Rigorous convergence proof of space-time multigrid with coarsening in space. (English) Zbl 07456992 Numer. Algorithms 89, No. 2, 675-699 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65N55 65F08 65F10 65M12 65Y05 PDF BibTeX XML Cite \textit{Y. Notay}, Numer. Algorithms 89, No. 2, 675--699 (2022; Zbl 07456992) Full Text: DOI OpenURL
Fanaskov, Vladimir Gaussian belief propagation solvers for nonsymmetric systems of linear equations. (English) Zbl 1480.65070 SIAM J. Sci. Comput. 44, No. 1, A77-A102 (2022). MSC: 65F10 65F50 62M99 PDF BibTeX XML Cite \textit{V. Fanaskov}, SIAM J. Sci. Comput. 44, No. 1, A77--A102 (2022; Zbl 1480.65070) Full Text: DOI arXiv OpenURL
Führer, Thomas Multilevel decompositions and norms for negative order Sobolev spaces. (English) Zbl 1483.65196 Math. Comput. 91, No. 333, 183-218 (2022). MSC: 65N38 65F08 65F35 65N30 65N55 PDF BibTeX XML Cite \textit{T. Führer}, Math. Comput. 91, No. 333, 183--218 (2022; Zbl 1483.65196) Full Text: DOI arXiv OpenURL
Na, Xuyang; Xu, Xuejun An optimal Robin-Robin domain decomposition method for Stokes equations. (English) Zbl 07418845 Appl. Numer. Math. 171, 426-441 (2022). MSC: 65N55 65N30 65F08 65F10 76D07 76M10 35Q35 PDF BibTeX XML Cite \textit{X. Na} and \textit{X. Xu}, Appl. Numer. Math. 171, 426--441 (2022; Zbl 07418845) Full Text: DOI OpenURL
Thiele, Christopher; Riviere, Beatrice \(p\)-multigrid with partial smoothing: an efficient preconditioner for discontinuous Galerkin discretizations with modal bases. (English) Zbl 07415983 J. Comput. Appl. Math. 402, Article ID 113815, 16 p. (2022). MSC: 65N55 65N30 65F08 65Y05 35J05 76S05 74F10 74L10 PDF BibTeX XML Cite \textit{C. Thiele} and \textit{B. Riviere}, J. Comput. Appl. Math. 402, Article ID 113815, 16 p. (2022; Zbl 07415983) Full Text: DOI OpenURL
Oseledets, Ivan; Fanaskov, Vladimir Direct optimization of BPX preconditioners. (English) Zbl 1482.65047 J. Comput. Appl. Math. 402, Article ID 113811, 13 p. (2022). MSC: 65F08 65M55 PDF BibTeX XML Cite \textit{I. Oseledets} and \textit{V. Fanaskov}, J. Comput. Appl. Math. 402, Article ID 113811, 13 p. (2022; Zbl 1482.65047) Full Text: DOI OpenURL
Parker, J. T.; Hill, P. A.; Dickinson, D.; Dudson, B. D. Parallel tridiagonal matrix inversion with a hybrid multigrid-Thomas algorithm method. (English) Zbl 07389247 J. Comput. Appl. Math. 399, Article ID 113706, 15 p. (2022). MSC: 65M55 65Y05 65F05 35J05 65M06 PDF BibTeX XML Cite \textit{J. T. Parker} et al., J. Comput. Appl. Math. 399, Article ID 113706, 15 p. (2022; Zbl 07389247) Full Text: DOI OpenURL
Li, Xue; Zhang, Zhenwei; Chang, Huibin; Duan, Yuping Accelerated non-overlapping domain decomposition method for total variation minimization. (English) Zbl 07538535 Numer. Math., Theory Methods Appl. 14, No. 4, 1017-1041 (2021). MSC: 68U10 65M55 65N55 PDF BibTeX XML Cite \textit{X. Li} et al., Numer. Math., Theory Methods Appl. 14, No. 4, 1017--1041 (2021; Zbl 07538535) Full Text: DOI OpenURL
Bungartz, Hans-Joachim (ed.); Garcke, Jochen (ed.); Pflüger, Dirk (ed.) Sparse grids and applications – Munich 2018. Selected papers based on the presentations at the fifth workshop, SGA2018, Munich, Germany, July 23–27, 2018. (English) Zbl 07536008 Lecture Notes in Computational Science and Engineering 144. Cham: Springer (ISBN 978-3-030-81361-1/hbk; 978-3-030-81362-8/ebook). viii, 264 p. (2021). MSC: 65-06 65M55 00B25 PDF BibTeX XML Cite \textit{H.-J. Bungartz} (ed.) et al., Sparse grids and applications -- Munich 2018. Selected papers based on the presentations at the fifth workshop, SGA2018, Munich, Germany, July 23--27, 2018. Cham: Springer (2021; Zbl 07536008) Full Text: DOI OpenURL
Habibi, Noora; Mesforush, Ali Extending a new two-grid waveform relaxation on a spatial finite element discretization. (English) Zbl 07527918 Comput. Methods Differ. Equ. 9, No. 4, 1148-1162 (2021). MSC: 65M60 35K60 65M12 PDF BibTeX XML Cite \textit{N. Habibi} and \textit{A. Mesforush}, Comput. Methods Differ. Equ. 9, No. 4, 1148--1162 (2021; Zbl 07527918) Full Text: DOI OpenURL