Edel, P.; Simon, J. A locally adaptive non-intrusive block reduced basis method for scattering applications using the boundary element method. (English) Zbl 07824907 Comput. Methods Appl. Mech. Eng. 421, Article ID 116830, 17 p. (2024). MSC: 65R20 78M15 78M34 PDFBibTeX XMLCite \textit{P. Edel} and \textit{J. Simon}, Comput. Methods Appl. Mech. Eng. 421, Article ID 116830, 17 p. (2024; Zbl 07824907) Full Text: DOI
Hon, Sean; Fung, Po Yin; Dong, Jiamei; Serra-Capizzano, Stefano A sine transform based preconditioned MINRES method for all-at-once systems from constant and variable-coefficient evolutionary PDEs. (English) Zbl 07824749 Numer. Algorithms 95, No. 4, 1769-1799 (2024). MSC: 65-XX 15B05 65F08 65F10 65M22 PDFBibTeX XMLCite \textit{S. Hon} et al., Numer. Algorithms 95, No. 4, 1769--1799 (2024; Zbl 07824749) Full Text: DOI arXiv
Yu, Xuhong; Wang, Xiaoyang Efficient Legendre-Laguerre spectral element methods for problems on unbounded domains with diagonalization technique. (English) Zbl 07824617 Comput. Math. Appl. 159, 11-20 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{X. Yu} and \textit{X. Wang}, Comput. Math. Appl. 159, 11--20 (2024; Zbl 07824617) Full Text: DOI
Faulstich, Fabian M.; Oster, Mathias Coupled cluster theory: toward an algebraic geometry formulation. (English) Zbl 07824421 SIAM J. Appl. Algebra Geom. 8, No. 1, 138-188 (2024). MSC: 12D10 14Q20 90C53 81-08 81-10 PDFBibTeX XMLCite \textit{F. M. Faulstich} and \textit{M. Oster}, SIAM J. Appl. Algebra Geom. 8, No. 1, 138--188 (2024; Zbl 07824421) Full Text: DOI arXiv
Fergoug, Mouad; Parret-Fréaud, Augustin; Feld, Nicolas; Marchand, Basile; Forest, Samuel Hierarchical modeling of heterogeneous structures driven by a modeling error estimator. (English) Zbl 07823429 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116529, 27 p. (2024). MSC: 74-XX 86-XX PDFBibTeX XMLCite \textit{M. Fergoug} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116529, 27 p. (2024; Zbl 07823429) Full Text: DOI
Riffaud, Sébastien; Fernández, Miguel A.; Lombardi, Damiano A low-rank solver for parameter estimation and uncertainty quantification in time-dependent systems of partial differential equations. (English) Zbl 07823285 J. Sci. Comput. 99, No. 2, Paper No. 34, 31 p. (2024). MSC: 65Cxx 65Fxx 65Nxx PDFBibTeX XMLCite \textit{S. Riffaud} et al., J. Sci. Comput. 99, No. 2, Paper No. 34, 31 p. (2024; Zbl 07823285) Full Text: DOI
Lange, Nils; Hütter, Geralf; Kiefer, Bjoern A monolithic hyper ROM \(\mathrm{FE}^2\) method with clustered training at finite deformations. (English) Zbl 07822161 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116522, 23 p. (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{N. Lange} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116522, 23 p. (2024; Zbl 07822161) Full Text: DOI arXiv
Nóvoa, Andrea; Racca, Alberto; Magri, Luca Inferring unknown unknowns: regularized bias-aware ensemble Kalman filter. (English) Zbl 07822148 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116502, 28 p. (2024). MSC: 62-XX 91-XX PDFBibTeX XMLCite \textit{A. Nóvoa} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116502, 28 p. (2024; Zbl 07822148) Full Text: DOI arXiv
Soize, Christian; Ghanem, Roger Probabilistic-learning-based stochastic surrogate model from small incomplete datasets for nonlinear dynamical systems. (English) Zbl 07822144 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116498, 25 p. (2024). MSC: 93-XX 92-XX PDFBibTeX XMLCite \textit{C. Soize} and \textit{R. Ghanem}, Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116498, 25 p. (2024; Zbl 07822144) Full Text: DOI
Discacciati, Marco; Evans, Ben J.; Giacomini, Matteo An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition. (English) Zbl 07822131 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116484, 27 p. (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Discacciati} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116484, 27 p. (2024; Zbl 07822131) Full Text: DOI arXiv
Guo, Theron; Rokoš, Ondřej; Veroy, Karen A reduced order model for geometrically parameterized two-scale simulations of elasto-plastic microstructures under large deformations. (English) Zbl 07822119 Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116467, 18 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T. Guo} et al., Comput. Methods Appl. Mech. Eng. 418, Part A, Article ID 116467, 18 p. (2024; Zbl 07822119) Full Text: DOI arXiv
Parker, Charles; Süli, Endre Stable lifting of polynomial traces on triangles. (English) Zbl 07821070 SIAM J. Numer. Anal. 62, No. 2, 692-717 (2024). MSC: 46E35 65N30 PDFBibTeX XMLCite \textit{C. Parker} and \textit{E. Süli}, SIAM J. Numer. Anal. 62, No. 2, 692--717 (2024; Zbl 07821070) Full Text: DOI arXiv
Chen, Ziang; Lu, Jianfeng; Lu, Yulong; Zhang, Xiangxiong On the convergence of Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem. (English) Zbl 07821069 SIAM J. Numer. Anal. 62, No. 2, 667-691 (2024). MSC: 65N25 65N12 65N06 35A15 35B38 49R05 49M41 35R01 35Q55 PDFBibTeX XMLCite \textit{Z. Chen} et al., SIAM J. Numer. Anal. 62, No. 2, 667--691 (2024; Zbl 07821069) Full Text: DOI arXiv
Ballarin, Francesco; Lee, Sanghyun; Yi, Son-Young Projection-based reduced order modeling of an iterative scheme for linear thermo-poroelasticity. (English) Zbl 07820991 Results Appl. Math. 21, Article ID 100430, 26 p. (2024). MSC: 74Fxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{F. Ballarin} et al., Results Appl. Math. 21, Article ID 100430, 26 p. (2024; Zbl 07820991) Full Text: DOI arXiv
Discacciati, Niccolò; Hesthaven, Jan S. Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps. (English) Zbl 07820288 Comput. Methods Appl. Mech. Eng. 420, Article ID 116770, 31 p. (2024). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{N. Discacciati} and \textit{J. S. Hesthaven}, Comput. Methods Appl. Mech. Eng. 420, Article ID 116770, 31 p. (2024; Zbl 07820288) Full Text: DOI
Wulfinghoff, Stephan Statistically compatible hyper-reduction for computational homogenization. (English) Zbl 07820280 Comput. Methods Appl. Mech. Eng. 420, Article ID 116744, 16 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{S. Wulfinghoff}, Comput. Methods Appl. Mech. Eng. 420, Article ID 116744, 16 p. (2024; Zbl 07820280) Full Text: DOI
Chellappa, Sridhar; Feng, Lihong; Benner, Peter Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure. (English) Zbl 07820256 Comput. Methods Appl. Mech. Eng. 420, Article ID 116712, 29 p. (2024). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{S. Chellappa} et al., Comput. Methods Appl. Mech. Eng. 420, Article ID 116712, 29 p. (2024; Zbl 07820256) Full Text: DOI arXiv
Khan, Sabit Mahmood; Li, Kangan; Mehmani, Yashar Order reduction of fracture mechanics in porous microstructures: a multiscale computing framework. (English) Zbl 07820251 Comput. Methods Appl. Mech. Eng. 420, Article ID 116706, 33 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{S. M. Khan} et al., Comput. Methods Appl. Mech. Eng. 420, Article ID 116706, 33 p. (2024; Zbl 07820251) Full Text: DOI
Cassano, Biagio; Lotoreichik, Vladimir Self-adjointness for the MIT bag model on an unbounded cone. (English) Zbl 07820031 Math. Nachr. 297, No. 3, 1006-1041 (2024). MSC: 47F05 35P15 81Q10 PDFBibTeX XMLCite \textit{B. Cassano} and \textit{V. Lotoreichik}, Math. Nachr. 297, No. 3, 1006--1041 (2024; Zbl 07820031) Full Text: DOI arXiv
Bonizzoni, Francesca; Hauck, Moritz; Peterseim, Daniel A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems. (English) Zbl 07819051 J. Comput. Phys. 499, Article ID 112698, 20 p. (2024). MSC: 65Nxx 35Jxx 41Axx PDFBibTeX XMLCite \textit{F. Bonizzoni} et al., J. Comput. Phys. 499, Article ID 112698, 20 p. (2024; Zbl 07819051) Full Text: DOI arXiv
Klein, R. B.; Sanderse, B. Energy-conserving hyper-reduction and temporal localization for reduced order models of the incompressible Navier-Stokes equations. (English) Zbl 07819050 J. Comput. Phys. 499, Article ID 112697, 33 p. (2024). MSC: 65Mxx 76Mxx 65Lxx PDFBibTeX XMLCite \textit{R. B. Klein} and \textit{B. Sanderse}, J. Comput. Phys. 499, Article ID 112697, 33 p. (2024; Zbl 07819050) Full Text: DOI
Zappon, Elena; Manzoni, Andrea; Gervasio, Paola; Quarteroni, Alfio A reduced order model for domain decompositions with non-conforming interfaces. (English) Zbl 07818687 J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024). MSC: 65N55 65N30 65D05 65N12 35J15 35K57 35K05 65M06 PDFBibTeX XMLCite \textit{E. Zappon} et al., J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024; Zbl 07818687) Full Text: DOI arXiv
Gander, Martin J.; Palitta, Davide A new ParaDiag time-parallel time integration method. (English) Zbl 07816749 SIAM J. Sci. Comput. 46, No. 2, A697-A718 (2024). MSC: 65Y05 65F10 PDFBibTeX XMLCite \textit{M. J. Gander} and \textit{D. Palitta}, SIAM J. Sci. Comput. 46, No. 2, A697--A718 (2024; Zbl 07816749) Full Text: DOI arXiv
Tenderini, Riccardo; Mueller, Nicholas; Deparis, Simone Space-time reduced basis methods for parametrized unsteady Stokes equations. (English) Zbl 07816741 SIAM J. Sci. Comput. 46, No. 1, B1-B32 (2024). MSC: 35Q92 35Q35 76D07 76Z05 65M60 65M06 65L12 65N30 65M12 65M22 65K10 92C35 92C50 PDFBibTeX XMLCite \textit{R. Tenderini} et al., SIAM J. Sci. Comput. 46, No. 1, B1--B32 (2024; Zbl 07816741) Full Text: DOI arXiv
Tyranowski, Tomasz M. Data-driven structure-preserving model reduction for stochastic Hamiltonian systems. (English) Zbl 07815422 J. Comput. Dyn. 11, No. 2, 220-255 (2024). MSC: 65C30 65D30 PDFBibTeX XMLCite \textit{T. M. Tyranowski}, J. Comput. Dyn. 11, No. 2, 220--255 (2024; Zbl 07815422) Full Text: DOI arXiv
Ojea, Ignacio Anisotropic regularity for elliptic problems with Dirac measures as data. (English) Zbl 07814083 J. Math. Anal. Appl. 535, No. 1, Article ID 128104, 44 p. (2024). MSC: 35J05 35J25 35B65 PDFBibTeX XMLCite \textit{I. Ojea}, J. Math. Anal. Appl. 535, No. 1, Article ID 128104, 44 p. (2024; Zbl 07814083) Full Text: DOI arXiv
Ning, Cui; Kou, Xiaomin; Wang, Yaohong Low-regularity integrator for the Davey-Stewartson II system. (English) Zbl 07812564 J. Sci. Comput. 99, No. 1, Paper No. 10, 17 p. (2024). MSC: 65M70 65N35 65M22 65M12 35B65 35Q55 PDFBibTeX XMLCite \textit{C. Ning} et al., J. Sci. Comput. 99, No. 1, Paper No. 10, 17 p. (2024; Zbl 07812564) Full Text: DOI
Herkert, Robin; Buchfink, Patrick; Haasdonk, Bernard Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems. (English) Zbl 07811921 Adv. Comput. Math. 50, No. 1, Paper No. 12, 34 p. (2024). MSC: 37-XX 34C20 37M15 65P10 78M34 93A15 PDFBibTeX XMLCite \textit{R. Herkert} et al., Adv. Comput. Math. 50, No. 1, Paper No. 12, 34 p. (2024; Zbl 07811921) Full Text: DOI arXiv OA License
Tonnon, Wouter; Hiptmair, Ralf Semi-Lagrangian finite element exterior calculus for incompressible flows. (English) Zbl 07811920 Adv. Comput. Math. 50, No. 1, Paper No. 11, 29 p. (2024). MSC: 65M60 65M06 65N30 76D05 76D10 76B03 76M10 76M20 35A15 35R35 35Q30 35Q35 PDFBibTeX XMLCite \textit{W. Tonnon} and \textit{R. Hiptmair}, Adv. Comput. Math. 50, No. 1, Paper No. 11, 29 p. (2024; Zbl 07811920) Full Text: DOI arXiv OA License
Ye, Dongwei; Krzhizhanovskaya, Valeria; Hoekstra, Alfons G. Data-driven reduced-order modelling for blood flow simulations with geometry-informed snapshots. (English) Zbl 07811324 J. Comput. Phys. 497, Article ID 112639, 17 p. (2024). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{D. Ye} et al., J. Comput. Phys. 497, Article ID 112639, 17 p. (2024; Zbl 07811324) Full Text: DOI arXiv
Buvoli, Tommaso; Minion, Michael Exponential Runge-Kutta parareal for non-diffusive equations. (English) Zbl 07811311 J. Comput. Phys. 497, Article ID 112623, 27 p. (2024). MSC: 65Lxx 65Mxx 65Yxx PDFBibTeX XMLCite \textit{T. Buvoli} and \textit{M. Minion}, J. Comput. Phys. 497, Article ID 112623, 27 p. (2024; Zbl 07811311) Full Text: DOI arXiv
Duan, Junming; Hesthaven, Jan S. Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems. (English) Zbl 07811309 J. Comput. Phys. 497, Article ID 112621, 22 p. (2024). MSC: 65Mxx 65Nxx 65Fxx PDFBibTeX XMLCite \textit{J. Duan} and \textit{J. S. Hesthaven}, J. Comput. Phys. 497, Article ID 112621, 22 p. (2024; Zbl 07811309) Full Text: DOI arXiv
Cancès, Eric; Hassan, Muhammad; Vidal, Laurent Modified-operator method for the calculation of band diagrams of crystalline materials. (English) Zbl 07810330 Math. Comput. 93, No. 347, 1203-1245 (2024). MSC: 65N25 65N30 65F15 65D30 65N50 65N12 65N15 65Z05 35B45 78A60 74E15 74F15 82D80 35Q55 PDFBibTeX XMLCite \textit{E. Cancès} et al., Math. Comput. 93, No. 347, 1203--1245 (2024; Zbl 07810330) Full Text: DOI arXiv
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation. (English) Zbl 07810329 Math. Comput. 93, No. 347, 1153-1202 (2024). MSC: 65M60 65M06 65N30 65M75 65D05 65F55 65P10 82C40 78A35 78A25 78M34 76X05 82D10 35Q83 35Q60 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., Math. Comput. 93, No. 347, 1153--1202 (2024; Zbl 07810329) Full Text: DOI arXiv
Bandera, A.; Fernández-García, S.; Gómez-Mármol, M.; Vidal, A. Automatic proper orthogonal block decomposition method for network dynamical systems with multiple timescales. (English) Zbl 07810042 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107844, 21 p. (2024). MSC: 34E13 34C20 92B20 93B11 PDFBibTeX XMLCite \textit{A. Bandera} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107844, 21 p. (2024; Zbl 07810042) Full Text: DOI
Wang, Yuepeng; Li, Jie; Zhao, Wenju; Navon, I. M.; Lin, Guang Accelerating inverse inference of ensemble Kalman filter via reduced-order model trained using adaptive sparse observations. (English) Zbl 07808000 J. Comput. Phys. 496, Article ID 112600, 19 p. (2024). MSC: 65Mxx 76Mxx 86Axx PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Comput. Phys. 496, Article ID 112600, 19 p. (2024; Zbl 07808000) Full Text: DOI
Steinstraesser, João Guilherme Caldas; da Silva Peixoto, Pedro; Schreiber, Martin Parallel-in-time integration of the shallow water equations on the rotating sphere using parareal and MGRIT. (English) Zbl 07807995 J. Comput. Phys. 496, Article ID 112591, 26 p. (2024). MSC: 65Mxx 65Yxx 65Lxx PDFBibTeX XMLCite \textit{J. G. C. Steinstraesser} et al., J. Comput. Phys. 496, Article ID 112591, 26 p. (2024; Zbl 07807995) Full Text: DOI arXiv
Agarwal, Shivang; Banerjee, Amartya S. Solution of the Schrödinger equation for quasi-one-dimensional materials using helical waves. (English) Zbl 07807977 J. Comput. Phys. 496, Article ID 112551, 29 p. (2024). MSC: 65Fxx 65Dxx 65Nxx PDFBibTeX XMLCite \textit{S. Agarwal} and \textit{A. S. Banerjee}, J. Comput. Phys. 496, Article ID 112551, 29 p. (2024; Zbl 07807977) Full Text: DOI arXiv
Batlle, Pau; Darcy, Matthieu; Hosseini, Bamdad; Owhadi, Houman Kernel methods are competitive for operator learning. (English) Zbl 07807976 J. Comput. Phys. 496, Article ID 112549, 24 p. (2024). MSC: 65Nxx 65Cxx 60Hxx PDFBibTeX XMLCite \textit{P. Batlle} et al., J. Comput. Phys. 496, Article ID 112549, 24 p. (2024; Zbl 07807976) Full Text: DOI arXiv
Actor, Jonas A.; Hu, Xiaozhe; Huang, Andy; Roberts, Scott A.; Trask, Nathaniel Data-driven Whitney forms for structure-preserving control volume analysis. (English) Zbl 07807972 J. Comput. Phys. 496, Article ID 112520, 32 p. (2024). MSC: 65Nxx 74Sxx 65Mxx PDFBibTeX XMLCite \textit{J. A. Actor} et al., J. Comput. Phys. 496, Article ID 112520, 32 p. (2024; Zbl 07807972) Full Text: DOI
Wang, Bin; Jiang, Yaolin Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems. (English) Zbl 07807774 BIT 64, No. 1, Paper No. 6, 34 p. (2024). MSC: 65L04 34E13 65L05 65L20 65L70 PDFBibTeX XMLCite \textit{B. Wang} and \textit{Y. Jiang}, BIT 64, No. 1, Paper No. 6, 34 p. (2024; Zbl 07807774) Full Text: DOI
Janssen, Lars A. L.; Besselink, Bart; Fey, Rob H. B.; van de Wouw, Nathan Modular model reduction of interconnected systems: a robust performance analysis perspective. (English) Zbl 07803890 Automatica 160, Article ID 111423, 13 p. (2024). MSC: 93B11 93B35 93B70 PDFBibTeX XMLCite \textit{L. A. L. Janssen} et al., Automatica 160, Article ID 111423, 13 p. (2024; Zbl 07803890) Full Text: DOI arXiv
Scarciotti, Giordano; Astolfi, Alessandro Interconnection-based model order reduction – a survey. (English) Zbl 07803802 Eur. J. Control 75, Article ID 100929, 17 p. (2024). MSC: 93B11 93B70 93C10 93C30 93E03 93-02 PDFBibTeX XMLCite \textit{G. Scarciotti} and \textit{A. Astolfi}, Eur. J. Control 75, Article ID 100929, 17 p. (2024; Zbl 07803802) Full Text: DOI
Li, Fu; Xu, Yingxiang A diagonalization-based parallel-in-time algorithm for Crank-Nicolson’s discretization of the viscoelastic equation. (English) Zbl 07803728 East Asian J. Appl. Math. 14, No. 1, 47-78 (2024). MSC: 65F08 65F10 65M22 65Y05 PDFBibTeX XMLCite \textit{F. Li} and \textit{Y. Xu}, East Asian J. Appl. Math. 14, No. 1, 47--78 (2024; Zbl 07803728) Full Text: DOI
Janssens, N.; Meyers, J. Parallel-in-time multiple shooting for optimal control problems governed by the Navier-Stokes equations. (English) Zbl 07803309 Comput. Phys. Commun. 296, Article ID 109019, 22 p. (2024). MSC: 49K20 49M41 35Q30 76D05 PDFBibTeX XMLCite \textit{N. Janssens} and \textit{J. Meyers}, Comput. Phys. Commun. 296, Article ID 109019, 22 p. (2024; Zbl 07803309) Full Text: DOI
Gilbert, Rhys E.; Lasagna, Davide On the application of optimal control techniques to the shadowing approach for time averaged sensitivity analysis of chaotic systems. (English) Zbl 07803216 SIAM J. Appl. Dyn. Syst. 23, No. 1, 505-552 (2024). MSC: 49Q12 37N35 PDFBibTeX XMLCite \textit{R. E. Gilbert} and \textit{D. Lasagna}, SIAM J. Appl. Dyn. Syst. 23, No. 1, 505--552 (2024; Zbl 07803216) Full Text: DOI
Keil, Tim; Ohlberger, Mario A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. (English) Zbl 07799052 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79-105 (2024). MSC: 90Cxx 35J20 65N15 65N30 90C06 PDFBibTeX XMLCite \textit{T. Keil} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79--105 (2024; Zbl 07799052) Full Text: DOI arXiv
Chaudhry, Jehanzeb H.; Estep, Donald; Tavener, Simon J. A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations. (English) Zbl 07798417 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23065, 26 p. (2024). MSC: 65N55 PDFBibTeX XMLCite \textit{J. H. Chaudhry} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23065, 26 p. (2024; Zbl 07798417) Full Text: DOI arXiv
Chen, Wenqian; Stinis, Panos Feature-adjacent multi-fidelity physics-informed machine learning for partial differential equations. (English) Zbl 07797662 J. Comput. Phys. 498, Article ID 112683, 21 p. (2024). MSC: 68Txx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{W. Chen} and \textit{P. Stinis}, J. Comput. Phys. 498, Article ID 112683, 21 p. (2024; Zbl 07797662) Full Text: DOI arXiv
Aretz, Nicole; Chen, Peng; Degen, Denise; Veroy, Karen A greedy sensor selection algorithm for hyperparameterized linear Bayesian inverse problems with correlated noise models. (English) Zbl 07797623 J. Comput. Phys. 498, Article ID 112599, 24 p. (2024). MSC: 65Nxx 35Qxx 65Cxx PDFBibTeX XMLCite \textit{N. Aretz} et al., J. Comput. Phys. 498, Article ID 112599, 24 p. (2024; Zbl 07797623) Full Text: DOI arXiv
Chua, Albert; Hirn, Matthew; Little, Anna On generalizations of the nonwindowed scattering transform. (English) Zbl 07796947 Appl. Comput. Harmon. Anal. 68, Article ID 101597, 35 p. (2024). MSC: 42C40 42B10 PDFBibTeX XMLCite \textit{A. Chua} et al., Appl. Comput. Harmon. Anal. 68, Article ID 101597, 35 p. (2024; Zbl 07796947) Full Text: DOI arXiv
Chen, Peiyi; Hu, Tianchen; Guilleminot, Johann A nonlinear-manifold reduced-order model and operator learning for partial differential equations with sharp solution gradients. (English) Zbl 07796701 Comput. Methods Appl. Mech. Eng. 419, Article ID 116684, 20 p. (2024). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{P. Chen} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116684, 20 p. (2024; Zbl 07796701) Full Text: DOI
Moreno, Alejandro Bandera; García, Cristina Caravaca; Chacón Rebollo, Tomás; Delgado Ávila, Enrique; Gómez Mármol, Macarena Reduced basis modelling of turbulence with well-developed inertial range. (English) Zbl 07796700 Comput. Methods Appl. Mech. Eng. 419, Article ID 116683, 20 p. (2024). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{A. B. Moreno} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116683, 20 p. (2024; Zbl 07796700) Full Text: DOI
Verhelst, H. M.; Weinmüller, P.; Mantzaflaris, A.; Takacs, T.; Toshniwal, D. A comparison of smooth basis constructions for isogeometric analysis. (English) Zbl 07796682 Comput. Methods Appl. Mech. Eng. 419, Article ID 116659, 27 p. (2024). MSC: 65-XX 92-XX PDFBibTeX XMLCite \textit{H. M. Verhelst} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116659, 27 p. (2024; Zbl 07796682) Full Text: DOI arXiv
He, Yanchen; Schwab, Christoph Analytic regularity and solution approximation for a semilinear elliptic partial differential equation in a polygon. (English) Zbl 07795707 Calcolo 61, No. 1, Paper No. 11, 23 p. (2024). MSC: 35J61 35A20 35B65 65N30 PDFBibTeX XMLCite \textit{Y. He} and \textit{C. Schwab}, Calcolo 61, No. 1, Paper No. 11, 23 p. (2024; Zbl 07795707) Full Text: DOI
Cancès, Eric; Kemlin, Gaspard; Levitt, Antoine A priori error analysis of linear and nonlinear periodic Schrödinger equations with analytic potentials. (English) Zbl 07788947 J. Sci. Comput. 98, No. 1, Paper No. 25, 21 p. (2024). MSC: 65N25 65N12 82M36 35P30 35A20 47A75 35Q55 PDFBibTeX XMLCite \textit{E. Cancès} et al., J. Sci. Comput. 98, No. 1, Paper No. 25, 21 p. (2024; Zbl 07788947) Full Text: DOI arXiv
Chen, Jau-Uei; Kang, Shinhoo; Bui-Thanh, Tan; Shadid, John N. A unified hp-HDG framework for Friedrichs’ PDE systems. (English) Zbl 07784362 Comput. Math. Appl. 154, 236-266 (2024). MSC: 65N30 65N15 76M10 65N12 35J25 PDFBibTeX XMLCite \textit{J.-U. Chen} et al., Comput. Math. Appl. 154, 236--266 (2024; Zbl 07784362) Full Text: DOI arXiv
Liu, Chen; Gao, Yuan; Zhang, Xiangxiong Structure preserving schemes for Fokker-Planck equations of irreversible processes. (English) Zbl 07784038 J. Sci. Comput. 98, No. 1, Paper No. 4, 38 p. (2024). MSC: 65M06 65N06 65N30 65M12 35Q84 PDFBibTeX XMLCite \textit{C. Liu} et al., J. Sci. Comput. 98, No. 1, Paper No. 4, 38 p. (2024; Zbl 07784038) Full Text: DOI arXiv
Fu, Jun-Liang; Liu, Jijun Double-parameter regularization for solving the backward diffusion problem with parallel-in-time algorithm. (English) Zbl 07780886 Inverse Probl. 40, No. 1, Article ID 015010, 30 p. (2024). MSC: 65M32 65M06 65N06 65M15 65Y05 35R25 35R30 PDFBibTeX XMLCite \textit{J.-L. Fu} and \textit{J. Liu}, Inverse Probl. 40, No. 1, Article ID 015010, 30 p. (2024; Zbl 07780886) Full Text: DOI
Wang, Guanjie; Liao, Qifeng Reduced basis stochastic Galerkin methods for partial differential equations with random inputs. (English) Zbl 07764805 Appl. Math. Comput. 463, Article ID 128375, 15 p. (2024). MSC: 60Hxx 65Cxx 65Nxx PDFBibTeX XMLCite \textit{G. Wang} and \textit{Q. Liao}, Appl. Math. Comput. 463, Article ID 128375, 15 p. (2024; Zbl 07764805) Full Text: DOI arXiv
Garai, Gobinda; Mandal, Bankim C. Diagonalization based parallel-in-time method for a class of fourth order time dependent PDEs. (English) Zbl 07764056 Math. Comput. Simul. 215, 21-42 (2024). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{G. Garai} and \textit{B. C. Mandal}, Math. Comput. Simul. 215, 21--42 (2024; Zbl 07764056) Full Text: DOI arXiv
Zhang, Xuehan; Jiang, Lijian Conditional variational autoencoder with Gaussian process regression recognition for parametric models. (English) Zbl 07756746 J. Comput. Appl. Math. 438, Article ID 115532, 22 p. (2024). MSC: 65Nxx 68Txx 35Rxx PDFBibTeX XMLCite \textit{X. Zhang} and \textit{L. Jiang}, J. Comput. Appl. Math. 438, Article ID 115532, 22 p. (2024; Zbl 07756746) Full Text: DOI arXiv
Rösler, Frank; Stepanenko, Alexei Computing eigenvalues of the Laplacian on rough domains. (English) Zbl 1527.65123 Math. Comput. 93, No. 345, 111-161 (2024). MSC: 65N25 65N30 35P15 28A80 47F10 PDFBibTeX XMLCite \textit{F. Rösler} and \textit{A. Stepanenko}, Math. Comput. 93, No. 345, 111--161 (2024; Zbl 1527.65123) Full Text: DOI arXiv
Xu, Fei; Wang, Bingyi; Luo, Fusheng Adaptive multigrid method for quantum eigenvalue problems. (English) Zbl 1519.65052 J. Comput. Appl. Math. 436, Article ID 115445, 17 p. (2024). MSC: 65N25 65N30 65N50 65N12 PDFBibTeX XMLCite \textit{F. Xu} et al., J. Comput. Appl. Math. 436, Article ID 115445, 17 p. (2024; Zbl 1519.65052) Full Text: DOI
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Structure-preserving model order reduction of Hamiltonian systems. (English) Zbl 07822585 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5072-5097 (2023). MSC: 65M99 70H33 70G45 70H15 65P10 15A18 65F20 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5072--5097 (2023; Zbl 07822585) Full Text: DOI arXiv OA License
Khowaja, Kainat; Shcherbatyy, Mykhaylo; Karl Härdle, Wolfgang Surrogate models for optimization of dynamical systems. (English) Zbl 07822580 Belomestny, Denis (ed.) et al., Foundations of modern statistics. Festschrift in honor of Vladimir Spokoiny. Selected contributions based on the presentations at the international conference, Berlin, Germany, November 6–8, 2019 and Moscow, Russia, November 30, 2019. Cham: Springer. Springer Proc. Math. Stat. 425, 563-593 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{K. Khowaja} et al., Springer Proc. Math. Stat. 425, 563--593 (2023; Zbl 07822580) Full Text: DOI arXiv
van Buggenhout, Niel On generating Sobolev orthogonal polynomials. (English) Zbl 07819970 Numer. Math. 155, No. 3-4, 415-443 (2023). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{N. van Buggenhout}, Numer. Math. 155, No. 3--4, 415--443 (2023; Zbl 07819970) Full Text: DOI arXiv
Cicci, Ludovica; Fresca, Stefania; Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. (English) Zbl 07817661 Math. Eng. (Springfield) 5, No. 2, Paper No. 26, 38 p. (2023). MSC: 92C10 35Q92 65M60 PDFBibTeX XMLCite \textit{L. Cicci} et al., Math. Eng. (Springfield) 5, No. 2, Paper No. 26, 38 p. (2023; Zbl 07817661) Full Text: DOI
Khamlich, Moaad; Stabile, Giovanni; Rozza, Gianluigi; Környei, László; Horváth, Zoltán A physics-based reduced order model for urban air pollution prediction. (English) Zbl 07804979 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116416, 22 p. (2023). MSC: 86-XX 76-XX PDFBibTeX XMLCite \textit{M. Khamlich} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116416, 22 p. (2023; Zbl 07804979) Full Text: DOI arXiv
El Khalfi, Hamid; Baiz, Othmane; Benaissa, Hicham Error estimates of piezoelectric Signorini’s contact problems. (English) Zbl 07801499 ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300112, 19 p. (2023). MSC: 74M15 74F15 74M10 74S05 65N30 65N15 PDFBibTeX XMLCite \textit{H. El Khalfi} et al., ZAMM, Z. Angew. Math. Mech. 103, No. 12, Article ID e202300112, 19 p. (2023; Zbl 07801499) Full Text: DOI
Rahmi, Diah Puspita; Fleischhauer, Robert; Kaliske, Michael A displacement-driven approach to frictional contact mechanics. (English) Zbl 07801072 Int. J. Numer. Methods Eng. 124, No. 24, 5471-5503 (2023). MSC: 74S05 74M15 74M10 PDFBibTeX XMLCite \textit{D. P. Rahmi} et al., Int. J. Numer. Methods Eng. 124, No. 24, 5471--5503 (2023; Zbl 07801072) Full Text: DOI OA License
Feng, Lihong; Lombardi, Luigi; Antonini, Giulio; Benner, Peter Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems. (English) Zbl 07801065 Int. J. Numer. Methods Eng. 124, No. 23, 5312-5333 (2023). MSC: 68Qxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{L. Feng} et al., Int. J. Numer. Methods Eng. 124, No. 23, 5312--5333 (2023; Zbl 07801065) Full Text: DOI arXiv OA License
Key, Fabian; von Danwitz, Max; Ballarin, Francesco; Rozza, Gianluigi Model order reduction for deforming domain problems in a time-continuous space-time setting. (English) Zbl 07801059 Int. J. Numer. Methods Eng. 124, No. 23, 5125-5150 (2023). MSC: 65M60 65M15 76Z05 92C35 PDFBibTeX XMLCite \textit{F. Key} et al., Int. J. Numer. Methods Eng. 124, No. 23, 5125--5150 (2023; Zbl 07801059) Full Text: DOI arXiv OA License
Sun, L. L.; Chang, M. L. Galerkin spectral method for a multi-term time-fractional diffusion equation and an application to inverse source problem. (English) Zbl 07798631 Netw. Heterog. Media 18, No. 1, 212-243 (2023). MSC: 65L05 65L10 PDFBibTeX XMLCite \textit{L. L. Sun} and \textit{M. L. Chang}, Netw. Heterog. Media 18, No. 1, 212--243 (2023; Zbl 07798631) Full Text: DOI
Čaklović, Gayatri; Speck, Robert; Frank, Martin A parallel-in-time collocation method using diagonalization: theory and implementation for linear problems. (English) Zbl 07795549 Commun. Appl. Math. Comput. Sci. 18, No. 1, 55-85 (2023). MSC: 65F10 65G50 65M70 65Y05 65M22 65Y20 PDFBibTeX XMLCite \textit{G. Čaklović} et al., Commun. Appl. Math. Comput. Sci. 18, No. 1, 55--85 (2023; Zbl 07795549) Full Text: DOI arXiv
Chen, Long; Guo, Ruchi; Zou, Jun A family of immersed finite element spaces and applications to three-dimensional \(\mathbf{H}(\operatorname{curl})\) interface problems. (English) Zbl 07790223 SIAM J. Sci. Comput. 45, No. 6, A3121-A3149 (2023). MSC: 65N30 65N55 65F08 65F10 65N12 65N15 58A12 78A55 35Q61 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Sci. Comput. 45, No. 6, A3121--A3149 (2023; Zbl 07790223) Full Text: DOI arXiv
Assous, Franck; Raichik, Irina A numerical method for 3D time-dependent Maxwell’s equations in axisymmetric singular domains with arbitrary data. (English) Zbl 07789903 Math. Model. Anal. 28, No. 3, 487-508 (2023). MSC: 65N30 78M10 35B65 35L67 PDFBibTeX XMLCite \textit{F. Assous} and \textit{I. Raichik}, Math. Model. Anal. 28, No. 3, 487--508 (2023; Zbl 07789903) Full Text: DOI
Mohapatra, S.; Kumar, N. Kishore; Joshi, Shivangi Least-squares formulations for Stokes equations with non-standard boundary conditions – a unified approach. (English) Zbl 07789791 Math. Methods Appl. Sci. 46, No. 16, 16463-16482 (2023). MSC: 65N35 65F10 35J57 76D07 PDFBibTeX XMLCite \textit{S. Mohapatra} et al., Math. Methods Appl. Sci. 46, No. 16, 16463--16482 (2023; Zbl 07789791) Full Text: DOI arXiv
Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi A hybrid projection/data-driven reduced order model for the Navier-Stokes equations with nonlinear filtering stabilization. (English) Zbl 07788132 J. Comput. Phys. 486, Article ID 112127, 20 p. (2023). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{M. Girfoglio} et al., J. Comput. Phys. 486, Article ID 112127, 20 p. (2023; Zbl 07788132) Full Text: DOI
Guerder, Marie; Duval, Arnaud; Elguedj, Thomas; Dam, Damien Volumetric embedded entities for the isogeometric analysis of complex structures. (English) Zbl 07788110 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116426, 29 p. (2023). MSC: 74-XX 68-XX PDFBibTeX XMLCite \textit{M. Guerder} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116426, 29 p. (2023; Zbl 07788110) Full Text: DOI
de Castro, Amy; Bochev, Pavel; Kuberry, Paul; Tezaur, Irina Explicit synchronous partitioned scheme for coupled reduced order models based on composite reduced bases. (English) Zbl 07788107 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116398, 36 p. (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{A. de Castro} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116398, 36 p. (2023; Zbl 07788107) Full Text: DOI arXiv
Duong, Thang X.; Leonetti, Leonardo; Kiendl, Josef A variationally consistent contact formulation based on a mixed interpolation point method and isogeometric discretization. (English) Zbl 07788102 Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116361, 29 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T. X. Duong} et al., Comput. Methods Appl. Mech. Eng. 417, Part B, Article ID 116361, 29 p. (2023; Zbl 07788102) Full Text: DOI
Cohen, Albert; Dahmen, Wolfgang; Dolbeault, Matthieu; Somacal, Agustin Reduced order modeling for elliptic problems with high contrast diffusion coefficients. (English) Zbl 07787596 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2775-2802 (2023). MSC: 65N30 35A35 35J70 65N12 65N99 PDFBibTeX XMLCite \textit{A. Cohen} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2775--2802 (2023; Zbl 07787596) Full Text: DOI arXiv
Wu, Mengyue; Yuan, Jianhua; Zhang, Jianxin A convex approximation for a PDE constrained fractional optimization problem with an application to photonic crystal design. (English) Zbl 07787033 Adv. Appl. Math. Mech. 15, No. 6, 1540-1561 (2023). MSC: 49M37 65K10 90C05 90C06 90C26 PDFBibTeX XMLCite \textit{M. Wu} et al., Adv. Appl. Math. Mech. 15, No. 6, 1540--1561 (2023; Zbl 07787033) Full Text: DOI
Yu, Qiang; Wang, Shuaimin; Xiao, Junfeng; Xu, Hang A Coiflet wavelet homotopy technique for nonlinear PDEs: application to the extreme bending of orthotropic plate with forced boundary constraints. (English) Zbl 07787031 Adv. Appl. Math. Mech. 15, No. 6, 1473-1514 (2023). MSC: 78A48 PDFBibTeX XMLCite \textit{Q. Yu} et al., Adv. Appl. Math. Mech. 15, No. 6, 1473--1514 (2023; Zbl 07787031) Full Text: DOI
Abou El Nasser El Yafi, Dima; Péron, Victor Efficient asymptotic models for axisymmetric eddy current problems in linear ferromagnetic materials. (English) Zbl 07783945 Comput. Math. Appl. 151, 335-345 (2023). MSC: 35Q60 35C20 78A25 78M10 35B40 PDFBibTeX XMLCite \textit{D. Abou El Nasser El Yafi} and \textit{V. Péron}, Comput. Math. Appl. 151, 335--345 (2023; Zbl 07783945) Full Text: DOI arXiv
Prusak, Ivan; Nonino, Monica; Torlo, Davide; Ballarin, Francesco; Rozza, Gianluigi An optimisation-based domain-decomposition reduced order model for the incompressible Navier-Stokes equations. (English) Zbl 07783934 Comput. Math. Appl. 151, 172-189 (2023). MSC: 76M10 65N30 76D05 74F10 65M60 PDFBibTeX XMLCite \textit{I. Prusak} et al., Comput. Math. Appl. 151, 172--189 (2023; Zbl 07783934) Full Text: DOI arXiv
Nkemzi, Boniface; Jung, Michael The coefficients in the asymptotic expansion of solutions of second-order hyperbolic problems in polygonal domains. (English) Zbl 07780285 Math. Methods Appl. Sci. 46, No. 8, 9576-9588 (2023). MSC: 35L20 35B40 35B65 PDFBibTeX XMLCite \textit{B. Nkemzi} and \textit{M. Jung}, Math. Methods Appl. Sci. 46, No. 8, 9576--9588 (2023; Zbl 07780285) Full Text: DOI
Li, Jun; Jiang, Yao-Lin; Miao, Zhen Analysis of the parareal approach based on discontinuous Galerkin method for time-dependent Stokes equations. (English) Zbl 07779697 Numer. Methods Partial Differ. Equations 39, No. 1, 6-29 (2023). MSC: 65M60 65M06 65N30 65M12 65N15 65Y05 76D07 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 6--29 (2023; Zbl 07779697) Full Text: DOI
Maday, Yvon; Marcati, Carlo Analyticity and \(hp\) discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. (English) Zbl 1527.65121 Math. Models Methods Appl. Sci. 33, No. 13, 2657-2701 (2023). MSC: 65N25 35J10 35P30 65N12 65N30 PDFBibTeX XMLCite \textit{Y. Maday} and \textit{C. Marcati}, Math. Models Methods Appl. Sci. 33, No. 13, 2657--2701 (2023; Zbl 1527.65121) Full Text: DOI arXiv
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Spectral approximation for optimal control problems governed by first bi-harmonic equation. (English) Zbl 07777335 Numer. Methods Partial Differ. Equations 39, No. 4, 2808-2822 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Lin} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 2808--2822 (2023; Zbl 07777335) Full Text: DOI
Gatica, Gabriel N.; Núñez, Nicolás; Ruiz-Baier, Ricardo New non-augmented mixed finite element methods for the Navier-Stokes-Brinkman equations using Banach spaces. (English) Zbl 07775697 J. Numer. Math. 31, No. 4, 343-373 (2023). MSC: 65N30 65N15 76D05 76M10 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., J. Numer. Math. 31, No. 4, 343--373 (2023; Zbl 07775697) Full Text: DOI
Grundel, Sara; Herty, Michael Model-order reduction for hyperbolic relaxation systems. (English) Zbl 07773929 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2763-2780 (2023). MSC: 35-XX 34-XX PDFBibTeX XMLCite \textit{S. Grundel} and \textit{M. Herty}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2763--2780 (2023; Zbl 07773929) Full Text: DOI arXiv
Chetry, Manisha; Borzacchiello, Domenico; Lestandi, Lucas; Rocha Da Silva, Luisa An iterative multi-fidelity approach for model order reduction of multidimensional input parametric PDE systems. (English) Zbl 07772337 Int. J. Numer. Methods Eng. 124, No. 22, 4941-4962 (2023). MSC: 65Nxx 65Cxx 65Mxx PDFBibTeX XMLCite \textit{M. Chetry} et al., Int. J. Numer. Methods Eng. 124, No. 22, 4941--4962 (2023; Zbl 07772337) Full Text: DOI arXiv
Diercks, Philipp; Veroy, Karen; Robens-Radermacher, Annika; Unger, Jörg F. Multiscale modeling of linear elastic heterogeneous structures via localized model order reduction. (English) Zbl 07772324 Int. J. Numer. Methods Eng. 124, No. 20, 4580-4602 (2023). MSC: 65Nxx 74Sxx 65Mxx PDFBibTeX XMLCite \textit{P. Diercks} et al., Int. J. Numer. Methods Eng. 124, No. 20, 4580--4602 (2023; Zbl 07772324) Full Text: DOI arXiv OA License
Discacciati, Niccolò; Hesthaven, Jan S. Localized model order reduction and domain decomposition methods for coupled heterogeneous systems. (English) Zbl 07772297 Int. J. Numer. Methods Eng. 124, No. 18, 3964-3996 (2023). MSC: 65Mxx 65Nxx 35Kxx PDFBibTeX XMLCite \textit{N. Discacciati} and \textit{J. S. Hesthaven}, Int. J. Numer. Methods Eng. 124, No. 18, 3964--3996 (2023; Zbl 07772297) Full Text: DOI OA License
Fu, R.; Xiao, D.; Navon, I. M.; Fang, F.; Yang, L.; Wang, C.; Cheng, S. A non-linear non-intrusive reduced order model of fluid flow by auto-encoder and self-attention deep learning methods. (English) Zbl 1524.76277 Int. J. Numer. Methods Eng. 124, No. 13, 3087-3111 (2023). MSC: 76M22 PDFBibTeX XMLCite \textit{R. Fu} et al., Int. J. Numer. Methods Eng. 124, No. 13, 3087--3111 (2023; Zbl 1524.76277) Full Text: DOI
Chamoin, Ludovic; Legoll, Frédéric An introductory review on a posteriori error estimation in finite element computations. (English) Zbl 1528.65104 SIAM Rev. 65, No. 4, 963-1028 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65B05 65N12 65N50 65-02 PDFBibTeX XMLCite \textit{L. Chamoin} and \textit{F. Legoll}, SIAM Rev. 65, No. 4, 963--1028 (2023; Zbl 1528.65104) Full Text: DOI arXiv
Rosenberger, H.; Sanderse, B. No pressure? Energy-consistent ROMs for the incompressible Navier-Stokes equations with time-dependent boundary conditions. (English) Zbl 07771309 J. Comput. Phys. 491, Article ID 112405, 20 p. (2023). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{H. Rosenberger} and \textit{B. Sanderse}, J. Comput. Phys. 491, Article ID 112405, 20 p. (2023; Zbl 07771309) Full Text: DOI arXiv
Kou, Jiaqing; Marino, Oscar A.; Ferrer, Esteban Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes. (English) Zbl 07771306 J. Comput. Phys. 491, Article ID 112399, 25 p. (2023). MSC: 65Mxx 76Mxx 65Nxx PDFBibTeX XMLCite \textit{J. Kou} et al., J. Comput. Phys. 491, Article ID 112399, 25 p. (2023; Zbl 07771306) Full Text: DOI arXiv