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Shapeev, Vasiliĭ Pavlovich; Bryndin, Luka Sergeevich; Belyaev, Vasiliĭ Alekseevich

The \(hp\)-version of the least-squares collocation method with integral collocation for solving a biharmonic equation. (Russian. English summary) Zbl 1513.65487

Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 26, No. 3, 556-572 (2022).
MSC:  65N35 65K10 65M50 65F08 65F10 65F20 65M12 31A30 35J48 74K10
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\textit{V. P. Shapeev} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 26, No. 3, 556--572 (2022; Zbl 1513.65487)
Full Text: DOI MNR
Zhou, Weixing; Martynenko, Sergey

Robust one/two-grid solver for black-box software in the computational continuum mechanics. (English) Zbl 1500.65105

Badriev, Ildar B. (ed.) et al., Mesh methods for boundary-value problems and applications. 13th international conference, Kazan, Russia, October 20–25, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 141, 597-608 (2022).
MSC:  65N55 65N50 65Y20 65-04
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\textit{W. Zhou} and \textit{S. Martynenko}, Lect. Notes Comput. Sci. Eng. 141, 597--608 (2022; Zbl 1500.65105)
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van Venetië, Raymond; Westerdiep, Jan

A parallel algorithm for solving linear parabolic evolution equations. (English) Zbl 1512.65220

Ong, Benjamin (ed.) et al., Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8–12, 2020. Cham: Springer. Springer Proc. Math. Stat. 356, 33-50 (2021).
Reviewer: Marius Ghergu (Dublin)
MSC:  65M60 65M55 65L06 65N30 65T60 65F08 65Y05 65Y20 65M12 65M15 35D30 35K85
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\textit{R. van Venetië} and \textit{J. Westerdiep}, Springer Proc. Math. Stat. 356, 33--50 (2021; Zbl 1512.65220)
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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
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\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)
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Alt, Tobias; Peter, Pascal; Weickert, Joachim; Schrader, Karl

Translating numerical concepts for PDEs into neural architectures. (English) Zbl 1501.65059

Elmoataz, Abderrahim (ed.) et al., Scale space and variational methods in computer vision. 8th international conference, SSVM 2021, virtual event, May 16–20, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12679, 294-306 (2021).
MSC:  65M55 68T07 65M06 65B05 35B35
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\textit{T. Alt} et al., Lect. Notes Comput. Sci. 12679, 294--306 (2021; Zbl 1501.65059)
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Buhr, Andreas; Iapichino, Laura; Ohlberger, Mario; Rave, Stephan; Schindler, Felix; Smetana, Kathrin

Localized model reduction for parameterized problems. (English) Zbl 07358914

Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245-305 (2021).
MSC:  65N30 65N55 65N15 35J20 35J25 65Y15
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\textit{A. Buhr} et al., in: Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245--305 (2021; Zbl 07358914)
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Anderson, Robert; Andrej, Julian; Barker, Andrew; Bramwell, Jamie; Camier, Jean-Sylvain; Cerveny, Jakub; Dobrev, Veselin; Dudouit, Yohann; Fisher, Aaron; Kolev, Tzanio; Pazner, Will; Stowell, Mark; Tomov, Vladimir; Akkerman, Ido; Dahm, Johann; Medina, David; Zampini, Stefano

MFEM: a modular finite element methods library. (English) Zbl 07288706

Comput. Math. Appl. 81, 42-74 (2021).
MSC:  65-04 65N30 65N55 65N50 74S05 76M10 65Y05 65Y10 65M60 65L06 65N25 65M06
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\textit{R. Anderson} et al., Comput. Math. Appl. 81, 42--74 (2021; Zbl 07288706)
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Glusa, Christian; Boman, Erik G.; Chow, Edmond; Rajamanickam, Sivasankaran; Ramanan, Paritosh

Asynchronous one-level and two-level domain decomposition solvers. (English) Zbl 1509.65135

Haynes, Ronald (ed.) et al., Domain decomposition methods in science and engineering XXV. Selected papers based on the presentations at the 25th international conference on domain decomposition methods, Memorial University of Newfoundland, in St. John’s, Newfoundland and Labrador, Canada, July 23–27, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 138, 134-142 (2020).
MSC:  65N55 65Y05 65F08 65F10 68W10 68W15 65-04
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\textit{C. Glusa} et al., Lect. Notes Comput. Sci. Eng. 138, 134--142 (2020; Zbl 1509.65135)
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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
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\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
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
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\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)
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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
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\textit{P. Deuflhard} and \textit{M. Weiser}, Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen. 2nd expanded edition. Berlin: De Gruyter (2020; Zbl 1451.65002)
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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
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\textit{C. Ding} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112753, 25 p. (2020; Zbl 1441.74301)
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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
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\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)
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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
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\textit{N. Kosturski} et al., Lect. Notes Comput. Sci. 10665, 304--312 (2018; Zbl 1476.65035)
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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
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\textit{O. B. Widlund} and \textit{C. R. Dohrmann}, Lect. Notes Comput. Sci. Eng. 125, 553--560 (2018; Zbl 1450.65177)
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