Chen, Jie; Saad, Yousef; Zhang, Zechen Graph coarsening: from scientific computing to machine learning. (English) Zbl 07511992 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 07511992) Full Text: DOI 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 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
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
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
Siebenborn, Martin; Wagner, Julian A multigrid preconditioner for tensor product spline smoothing. (English) Zbl 07524033 Comput. Stat. 36, No. 4, 2379-2411 (2021). MSC: 65C60 PDF BibTeX XML Cite \textit{M. Siebenborn} and \textit{J. Wagner}, Comput. Stat. 36, No. 4, 2379--2411 (2021; Zbl 07524033) Full Text: DOI OpenURL
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 OpenURL
Alt, Tobias; Peter, Pascal; Weickert, Joachim; Schrader, Karl Translating numerical concepts for PDEs into neural architectures. (English) Zbl 07449739 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: 65N55 68T07 PDF BibTeX XML Cite \textit{T. Alt} et al., Lect. Notes Comput. Sci. 12679, 294--306 (2021; Zbl 07449739) Full Text: DOI OpenURL
Il’in, V. P. Iterative preconditioned methods in Krylov spaces: trends of the 21st century. (English. Russian original) Zbl 07444576 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 PDF BibTeX XML Cite \textit{V. P. Il'in}, Comput. Math. Math. Phys. 61, No. 11, 1750--1775 (2021; Zbl 07444576); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 11, 1786--1813 (2021) Full Text: DOI OpenURL
Chaudhry, Jehanzeb H.; Estep, Donald; Tavener, Simon J. A posteriori error analysis for Schwarz overlapping domain decomposition methods. (English) Zbl 07430392 BIT 61, No. 4, 1153-1191 (2021). MSC: 65N15 65N50 65N55 68W10 PDF BibTeX XML Cite \textit{J. H. Chaudhry} et al., BIT 61, No. 4, 1153--1191 (2021; Zbl 07430392) Full Text: DOI arXiv OpenURL
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 OpenURL
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 OpenURL
Isotton, Giovanni; Frigo, Matteo; Spiezia, Nicolò; Janna, Carlo Chronos: a general purpose classical AMG solver for high performance computing. (English) Zbl 07411920 SIAM J. Sci. Comput. 43, No. 5, C335-C357 (2021). MSC: 65F08 65F10 65F50 68W10 PDF BibTeX XML Cite \textit{G. Isotton} et al., SIAM J. Sci. Comput. 43, No. 5, C335--C357 (2021; Zbl 07411920) Full Text: DOI arXiv OpenURL
Hou, Pengyu; Liu, Fang Two-scale finite element discretizations for nonlinear eigenvalue problems in quantum physics. (English) Zbl 07402264 Adv. Comput. Math. 47, No. 4, Paper No. 59, 28 p. (2021). MSC: 65N15 65N30 65N55 65F10 65Y10 PDF BibTeX XML Cite \textit{P. Hou} and \textit{F. Liu}, Adv. Comput. Math. 47, No. 4, Paper No. 59, 28 p. (2021; Zbl 07402264) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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: 65Y15 65N30 65N55 65N15 35J20 35J25 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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Köstler, Harald; Heisig, Marco; Kohl, Nils; Kuckuk, Sebastian; Bauer, Martin; Rüde, Ulrich Code generation approaches for parallel geometric multigrid solvers. (English) Zbl 07376180 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 07376180) Full Text: DOI OpenURL
Cho, Durkbin Optimal multilevel preconditioners for isogeometric collocation methods. (English) Zbl 07317952 Math. Comput. Simul. 168, 76-89 (2020). MSC: 65Dxx 51Nxx 68Uxx 51Axx PDF BibTeX XML Cite \textit{D. Cho}, Math. Comput. Simul. 168, 76--89 (2020; Zbl 07317952) Full Text: DOI OpenURL
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 OpenURL
Drzisga, Daniel; Rüde, Ulrich; Wohlmuth, Barbara Stencil scaling for vector-valued PDEs on hybrid grids with applications to generalized Newtonian fluids. (English) Zbl 07303416 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 07303416) Full Text: DOI arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 07418036 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 07418036) Full Text: DOI OpenURL
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 OpenURL
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 OpenURL
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) OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Liu, Jun; Wang, Zhu Efficient time domain decomposition algorithms for parabolic PDE-constrained optimization problems. (English) Zbl 1409.65055 Comput. Math. Appl. 75, No. 6, 2115-2133 (2018). MSC: 65M06 65M55 49M25 35K20 PDF BibTeX XML Cite \textit{J. Liu} and \textit{Z. Wang}, Comput. Math. Appl. 75, No. 6, 2115--2133 (2018; Zbl 1409.65055) Full Text: DOI arXiv OpenURL
González-Andrade, Sergio; López-Ordóñez, Sofía A multigrid optimization algorithm for the numerical solution of quasilinear variational inequalities involving the \(p\)-Laplacian. (English) Zbl 1409.65038 Comput. Math. Appl. 75, No. 4, 1107-1127 (2018). MSC: 65K15 49J40 PDF BibTeX XML Cite \textit{S. González-Andrade} and \textit{S. López-Ordóñez}, Comput. Math. Appl. 75, No. 4, 1107--1127 (2018; Zbl 1409.65038) Full Text: DOI arXiv OpenURL
Grasedyck, Lars; Löbbert, Christian Distributed hierarchical SVD in the hierarchical Tucker format. (English) Zbl 07031735 Numer. Linear Algebra Appl. 25, No. 6, e2174, 22 p. (2018). MSC: 65Y05 65F15 15A18 15A69 PDF BibTeX XML Cite \textit{L. Grasedyck} and \textit{C. Löbbert}, Numer. Linear Algebra Appl. 25, No. 6, e2174, 22 p. (2018; Zbl 07031735) Full Text: DOI arXiv OpenURL
Kang, Zhijiang; Deng, Ze; Han, Wei; Zhang, Dongmei Parallel reservoir simulation with OpenACC and domain decomposition. (English) Zbl 1461.76366 Algorithms (Basel) 11, No. 12, Paper No. 213, 14 p. (2018). MSC: 76M99 65N55 65Y10 76S05 PDF BibTeX XML Cite \textit{Z. Kang} et al., Algorithms (Basel) 11, No. 12, Paper No. 213, 14 p. (2018; Zbl 1461.76366) Full Text: DOI OpenURL
Magoulès, Frédéric; Gbikpi-Benissan, Guillaume Asynchronous parareal time discretization for partial differential equations. (English) Zbl 1404.65155 SIAM J. Sci. Comput. 40, No. 6, C704-C725 (2018). MSC: 65M55 65M22 65Y05 65Y20 PDF BibTeX XML Cite \textit{F. Magoulès} and \textit{G. Gbikpi-Benissan}, SIAM J. Sci. Comput. 40, No. 6, C704--C725 (2018; Zbl 1404.65155) Full Text: DOI arXiv OpenURL
Agreste, Santa; Ricciardello, Angela An overlapping domain decomposition method for large-scale problems. (English) Zbl 1404.65152 Comput. Appl. Math. 37, No. 3, 3744-3758 (2018). MSC: 65M55 65Y05 68W10 65S05 PDF BibTeX XML Cite \textit{S. Agreste} and \textit{A. Ricciardello}, Comput. Appl. Math. 37, No. 3, 3744--3758 (2018; Zbl 1404.65152) Full Text: DOI OpenURL
Kronbichler, Martin; Wall, Wolfgang A. A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers. (English) Zbl 1402.65163 SIAM J. Sci. Comput. 40, No. 5, A3423-A3448 (2018). MSC: 65N30 65N55 65Y05 68W10 65N12 PDF BibTeX XML Cite \textit{M. Kronbichler} and \textit{W. A. Wall}, SIAM J. Sci. Comput. 40, No. 5, A3423--A3448 (2018; Zbl 1402.65163) Full Text: DOI arXiv OpenURL
Kashefi, Ali; Staples, Anne E. A finite-element coarse-grid projection method for incompressible flow simulations. (English) Zbl 1398.35149 Adv. Comput. Math. 44, No. 4, 1063-1090 (2018). MSC: 35Q30 65Y20 65N30 65N55 76D05 65M06 PDF BibTeX XML Cite \textit{A. Kashefi} and \textit{A. E. Staples}, Adv. Comput. Math. 44, No. 4, 1063--1090 (2018; Zbl 1398.35149) Full Text: DOI arXiv OpenURL
Volokhov, V.; Toktaliev, P.; Martynenko, S.; Yanovskiy, L.; Varlamov, D.; Volokhov, A.; Amosova, E. Structure of highly parallel, efficient, scalable, true robust pseudomultigrid technique for black-box solving a large class of the boundary value problems on high performance computing systems. (English) Zbl 1483.65201 Lobachevskii J. Math. 39, No. 4, 603-608 (2018). MSC: 65N55 65Y05 65Y10 PDF BibTeX XML Cite \textit{V. Volokhov} et al., Lobachevskii J. Math. 39, No. 4, 603--608 (2018; Zbl 1483.65201) Full Text: DOI OpenURL
Tolstykh, M.; Goyman, G.; Fadeev, R.; Shashkin, V. Structure and algorithms of SL-AV atmosphere model parallel program complex. (English) Zbl 1483.86002 Lobachevskii J. Math. 39, No. 4, 587-595 (2018). MSC: 86-08 65Y05 86A10 PDF BibTeX XML Cite \textit{M. Tolstykh} et al., Lobachevskii J. Math. 39, No. 4, 587--595 (2018; Zbl 1483.86002) Full Text: DOI OpenURL
Moutafis, Byron E.; Filelis-Papadopoulos, Christos K.; Gravvanis, George A. Parallel Schur complement techniques based on multiprojection methods. (English) Zbl 1395.65009 SIAM J. Sci. Comput. 40, No. 4, C634-C654 (2018). Reviewer: Constantin Popa (Constanţa) MSC: 65F08 65F10 65F50 65N55 68W10 68W15 PDF BibTeX XML Cite \textit{B. E. Moutafis} et al., SIAM J. Sci. Comput. 40, No. 4, C634--C654 (2018; Zbl 1395.65009) Full Text: DOI OpenURL
Chiron, L.; Marrone, S.; Di Mascio, A.; Le Touzé, D. Coupled SPH-FV method with net vorticity and mass transfer. (English) Zbl 1392.76060 J. Comput. Phys. 364, 111-136 (2018). MSC: 76M28 76M12 35Q30 65M55 PDF BibTeX XML Cite \textit{L. Chiron} et al., J. Comput. Phys. 364, 111--136 (2018; Zbl 1392.76060) Full Text: DOI OpenURL
Gremse, Felix; Küpper, Kerstin; Naumann, Uwe Memory-efficient sparse matrix-matrix multiplication by row merging on many-core architectures. (English) Zbl 1391.65119 SIAM J. Sci. Comput. 40, No. 4, C429-C449 (2018). MSC: 65F50 65Y20 65Y10 PDF BibTeX XML Cite \textit{F. Gremse} et al., SIAM J. Sci. Comput. 40, No. 4, C429--C449 (2018; Zbl 1391.65119) Full Text: DOI OpenURL
Calvo, Juan G. On the approximation of a virtual coarse space for domain decomposition methods in two dimensions. (English) Zbl 1448.65259 Math. Models Methods Appl. Sci. 28, No. 7, 1267-1289 (2018). MSC: 65N55 65N30 65F10 65F08 35J15 PDF BibTeX XML Cite \textit{J. G. Calvo}, Math. Models Methods Appl. Sci. 28, No. 7, 1267--1289 (2018; Zbl 1448.65259) Full Text: DOI OpenURL
Neumüller, Martin; Thalhammer, Andreas A fully parallelizable space-time multilevel Monte Carlo method for stochastic differential equations with additive noise. (English) Zbl 1391.65023 SIAM J. Sci. Comput. 40, No. 3, C388-C400 (2018). MSC: 65C30 60H15 65C05 65M55 PDF BibTeX XML Cite \textit{M. Neumüller} and \textit{A. Thalhammer}, SIAM J. Sci. Comput. 40, No. 3, C388--C400 (2018; Zbl 1391.65023) Full Text: DOI OpenURL
Qiu, Yue; van Gijzen, Martin B.; van Wingerden, Jan-Willem; Verhaegen, Michel; Vuik, Cornelis Evaluation of multilevel sequentially semiseparable preconditioners on computational fluid dynamics benchmark problems using incompressible flow and iterative solver software. (English) Zbl 1386.65104 Math. Methods Appl. Sci. 41, No. 3, 888-903 (2018). MSC: 65F08 76M25 65Y20 PDF BibTeX XML Cite \textit{Y. Qiu} et al., Math. Methods Appl. Sci. 41, No. 3, 888--903 (2018; Zbl 1386.65104) Full Text: DOI OpenURL
Magee, Daniel J.; Niemeyer, Kyle E. Accelerating solutions of one-dimensional unsteady PDEs with GPU-based swept time-space decomposition. (English) Zbl 1422.65474 J. Comput. Phys. 357, 338-352 (2018). MSC: 65Y10 65Y05 65M55 35Q35 PDF BibTeX XML Cite \textit{D. J. Magee} and \textit{K. E. Niemeyer}, J. Comput. Phys. 357, 338--352 (2018; Zbl 1422.65474) Full Text: DOI arXiv OpenURL
Chegini, Nabi; Stevenson, Rob Adaptive piecewise tensor product wavelets scheme for Laplace-interface problems. (English) Zbl 1382.65436 J. Comput. Appl. Math. 336, 72-97 (2018). MSC: 65N55 35J05 35R05 65T60 65N30 65Y20 PDF BibTeX XML Cite \textit{N. Chegini} and \textit{R. Stevenson}, J. Comput. Appl. Math. 336, 72--97 (2018; Zbl 1382.65436) Full Text: DOI OpenURL
Khoromskij, Boris N. Tensor numerical methods in scientific computing. (English) Zbl 1405.65002 Radon Series on Computational and Applied Mathematics 19. Berlin: De Gruyter (ISBN 978-3-11-037013-3/hbk; 978-3-11-036591-7/ebook). x, 369 p. (2018). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65-02 65F30 15A69 65F50 PDF BibTeX XML Cite \textit{B. N. Khoromskij}, Tensor numerical methods in scientific computing. Berlin: De Gruyter (2018; Zbl 1405.65002) Full Text: DOI OpenURL
Hofer, Christoph; Langer, Ulrich Dual-primal isogeometric tearing and interconnecting solvers for multipatch dG-Iga equations. (English) Zbl 1439.65140 Comput. Methods Appl. Mech. Eng. 316, 2-21 (2017). MSC: 65N22 65D07 65N35 65N55 PDF BibTeX XML Cite \textit{C. Hofer} and \textit{U. Langer}, Comput. Methods Appl. Mech. Eng. 316, 2--21 (2017; Zbl 1439.65140) Full Text: DOI arXiv OpenURL
Antonietti, Paola F.; Houston, Paul; Hu, Xiaozhe; Sarti, Marco; Verani, Marco Multigrid algorithms for \(hp\)-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes. (English) Zbl 1421.65029 Calcolo 54, No. 4, 1169-1198 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N55 65N12 PDF BibTeX XML Cite \textit{P. F. Antonietti} et al., Calcolo 54, No. 4, 1169--1198 (2017; Zbl 1421.65029) Full Text: DOI arXiv OpenURL
Dal Santo, Niccolò; Deparis, Simone; Manzoni, Andrea A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations. (English) Zbl 1382.65384 Commun. Appl. Ind. Math. 8, No. 1, 282-297 (2017). MSC: 65N30 35J25 65F08 65N55 65Y20 65F10 PDF BibTeX XML Cite \textit{N. Dal Santo} et al., Commun. Appl. Ind. Math. 8, No. 1, 282--297 (2017; Zbl 1382.65384) Full Text: DOI OpenURL
Stiller, Jörg Robust multigrid for Cartesian interior penalty DG formulations of the Poisson equation in 3D. (English) Zbl 1382.65454 Bittencourt, Marco L. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2016. Selected papers from the ICOSAHOM conference, June 27 – July 1, 2016, Rio de Janeiro, Brazil. Cham: Springer (ISBN 978-3-319-65869-8/hbk; 978-3-319-65870-4/ebook). Lecture Notes in Computational Science and Engineering 119, 189-201 (2017). MSC: 65N55 65N30 35J05 65N12 65Y20 65F10 PDF BibTeX XML Cite \textit{J. Stiller}, Lect. Notes Comput. Sci. Eng. 119, 189--201 (2017; Zbl 1382.65454) Full Text: DOI arXiv OpenURL
Rudi, Johann; Stadler, Georg; Ghattas, Omar Weighted BFBT preconditioner for Stokes flow problems with highly heterogeneous viscosity. (English) Zbl 1392.65039 SIAM J. Sci. Comput. 39, No. 5, S272-S297 (2017). MSC: 65F08 65F10 65N55 65Y05 76D07 76A05 65N30 PDF BibTeX XML Cite \textit{J. Rudi} et al., SIAM J. Sci. Comput. 39, No. 5, S272--S297 (2017; Zbl 1392.65039) Full Text: DOI arXiv OpenURL
Bauer, S.; Mohr, M.; Rüde, U.; Weismüller, J.; Wittmann, M.; Wohlmuth, B. A two-scale approach for efficient on-the-fly operator assembly in massively parallel high performance multigrid codes. (English) Zbl 1375.65168 Appl. Numer. Math. 122, 14-38 (2017). MSC: 65N55 65N30 35J25 65Y05 65Y15 65F35 PDF BibTeX XML Cite \textit{S. Bauer} et al., Appl. Numer. Math. 122, 14--38 (2017; Zbl 1375.65168) Full Text: DOI arXiv OpenURL
Sentyabov, A.; Gavrilov, A.; Grizan, S.; Dekterev, A.; Boykov, D. Computational efficiency of GPU-based uncompressible flow simulation. (Russian. English summary) Zbl 1381.76270 Mat. Model. 29, No. 3, 16-28 (2017). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 76M25 65Y10 65M55 PDF BibTeX XML Cite \textit{A. Sentyabov} et al., Mat. Model. 29, No. 3, 16--28 (2017; Zbl 1381.76270) Full Text: MNR OpenURL
Jomo, John N.; Zander, Nils; Elhaddad, Mohamed; Özcan, Ali; Kollmannsberger, Stefan; Mundani, Ralf-Peter; Rank, Ernst Parallelization of the multi-level \(hp\)-adaptive finite cell method. (English) Zbl 1375.65151 Comput. Math. Appl. 74, No. 1, 126-142 (2017). MSC: 65N30 65N50 65N55 65Y05 65Y20 35J25 PDF BibTeX XML Cite \textit{J. N. Jomo} et al., Comput. Math. Appl. 74, No. 1, 126--142 (2017; Zbl 1375.65151) Full Text: DOI arXiv OpenURL
Wilbrandt, Ulrich; Bartsch, Clemens; Ahmed, Naveed; Alia, Najib; Anker, Felix; Blank, Laura; Caiazzo, Alfonso; Ganesan, Sashikumaar; Giere, Swetlana; Matthies, Gunar; Meesala, Raviteja; Shamim, Abdus; Venkatesan, Jagannath; John, Volker ParMooN – a modernized program package based on mapped finite elements. (English) Zbl 1375.65158 Comput. Math. Appl. 74, No. 1, 74-88 (2017). MSC: 65N30 65M60 35J25 35K20 65M55 65N55 65Y15 65Y05 PDF BibTeX XML Cite \textit{U. Wilbrandt} et al., Comput. Math. Appl. 74, No. 1, 74--88 (2017; Zbl 1375.65158) Full Text: DOI arXiv OpenURL
Appelhans, David J.; Manteuffel, Tom; McCormick, Steve; Ruge, John A low-communication, parallel algorithm for solving PDEs based on range decomposition. (English) Zbl 1424.65264 Numer. Linear Algebra Appl. 24, No. 3, e2041, 30 p. (2017). MSC: 65Y05 65N22 65N55 65N30 PDF BibTeX XML Cite \textit{D. J. Appelhans} et al., Numer. Linear Algebra Appl. 24, No. 3, e2041, 30 p. (2017; Zbl 1424.65264) Full Text: DOI OpenURL
Blonigan, Patrick; Wang, Qiqi Multigrid-in-time for sensitivity analysis of chaotic dynamical systems. (English) Zbl 1424.65246 Numer. Linear Algebra Appl. 24, No. 3, e1946, 21 p. (2017). Reviewer: Jan Chleboun (Praha) MSC: 65P99 37M99 65Y20 49K15 34K27 65L12 PDF BibTeX XML Cite \textit{P. Blonigan} and \textit{Q. Wang}, Numer. Linear Algebra Appl. 24, No. 3, e1946, 21 p. (2017; Zbl 1424.65246) Full Text: DOI arXiv OpenURL
Gaspar, Francisco J.; Rodrigo, Carmen Multigrid waveform relaxation for the time-fractional heat equation. (English) Zbl 1371.65103 SIAM J. Sci. Comput. 39, No. 4, A1201-A1224 (2017). MSC: 65M55 35K05 35R11 65Y20 PDF BibTeX XML Cite \textit{F. J. Gaspar} and \textit{C. Rodrigo}, SIAM J. Sci. Comput. 39, No. 4, A1201--A1224 (2017; Zbl 1371.65103) Full Text: DOI arXiv OpenURL
Li, Buyang; Liu, Jun; Xiao, Mingqing A new multigrid method for unconstrained parabolic optimal control problems. (English) Zbl 1370.65032 J. Comput. Appl. Math. 326, 358-373 (2017). MSC: 65K10 49J20 49M25 65Y20 PDF BibTeX XML Cite \textit{B. Li} et al., J. Comput. Appl. Math. 326, 358--373 (2017; Zbl 1370.65032) Full Text: DOI OpenURL
Albright, Jason; Epshteyn, Yekaterina; Xia, Qing High-order accurate methods based on difference potentials for 2D parabolic interface models. (English) Zbl 06751890 Commun. Math. Sci. 15, No. 4, 985-1019 (2017). MSC: 35K20 65M06 65M12 65M22 65M55 65M70 PDF BibTeX XML Cite \textit{J. Albright} et al., Commun. Math. Sci. 15, No. 4, 985--1019 (2017; Zbl 06751890) Full Text: DOI OpenURL