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
Cheng, Sibo; Liu, Che; Guo, Yike; Arcucci, Rossella Efficient deep data assimilation with sparse observations and time-varying sensors. (English) Zbl 07807988 J. Comput. Phys. 496, Article ID 112581, 20 p. (2024). MSC: 68Txx 65Kxx 90Cxx PDFBibTeX XMLCite \textit{S. Cheng} et al., J. Comput. Phys. 496, Article ID 112581, 20 p. (2024; Zbl 07807988) Full Text: DOI arXiv
Morisco, Cosimo Tarsia; Tenkès, Lucille-Marie; Alauzet, Frédéric Vertex-centered mixed finite element-finite volume scheme for 2D anisotropic hybrid mesh adaptation. (English) Zbl 07796662 Comput. Methods Appl. Mech. Eng. 419, Article ID 116638, 47 p. (2024). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{C. T. Morisco} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116638, 47 p. (2024; Zbl 07796662) Full Text: DOI
Dominesey, Kurt A.; Ji, Wei Reduced-order modeling of neutron transport eigenvalue problems separated in energy by proper generalized decomposition. (English) Zbl 07788140 J. Comput. Phys. 486, Article ID 112137, 20 p. (2023). MSC: 65Mxx 65Fxx 65Nxx PDFBibTeX XMLCite \textit{K. A. Dominesey} and \textit{W. Ji}, J. Comput. Phys. 486, Article ID 112137, 20 p. (2023; Zbl 07788140) 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
Li, Kun; Li, Yixin; Li, Liang; Lanteri, Stéphane Surrogate modeling of time-domain electromagnetic wave propagation via dynamic mode decomposition and radial basis function. (English) Zbl 07771271 J. Comput. Phys. 491, Article ID 112354, 23 p. (2023). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{K. Li} et al., J. Comput. Phys. 491, Article ID 112354, 23 p. (2023; Zbl 07771271) Full Text: DOI
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression. (English) Zbl 07766241 J. Comput. Phys. 495, Article ID 112503, 28 p. (2023). MSC: 65Nxx 65Mxx 35Pxx PDFBibTeX XMLCite \textit{F. Bertrand} et al., J. Comput. Phys. 495, Article ID 112503, 28 p. (2023; Zbl 07766241) Full Text: DOI arXiv
Ares de Parga, S.; Bravo, J. R.; Hernández, J. A.; Zorrilla, R.; Rossi, R. Hyper-reduction for Petrov-Galerkin reduced order models. (English) Zbl 07761298 Comput. Methods Appl. Mech. Eng. 416, Article ID 116298, 32 p. (2023). MSC: 65-XX 90-XX PDFBibTeX XMLCite \textit{S. Ares de Parga} et al., Comput. Methods Appl. Mech. Eng. 416, Article ID 116298, 32 p. (2023; Zbl 07761298) Full Text: DOI arXiv
Cicci, Ludovica; Fresca, Stefania; Guo, Mengwu; Manzoni, Andrea; Zunino, Paolo Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression. (English) Zbl 07750303 Comput. Math. Appl. 149, 1-23 (2023). MSC: 65M60 65N30 68T05 68T07 65M99 PDFBibTeX XMLCite \textit{L. Cicci} et al., Comput. Math. Appl. 149, 1--23 (2023; Zbl 07750303) Full Text: DOI arXiv
Mou, Changhong; Chen, Nan; Iliescu, Traian An efficient data-driven multiscale stochastic reduced order modeling framework for complex systems. (English) Zbl 07748041 J. Comput. Phys. 493, Article ID 112450, 30 p. (2023). MSC: 76Mxx 76Fxx 65Mxx PDFBibTeX XMLCite \textit{C. Mou} et al., J. Comput. Phys. 493, Article ID 112450, 30 p. (2023; Zbl 07748041) Full Text: DOI arXiv
Halvic, Ian; Ragusa, Jean C. Non-intrusive model order reduction for parametric radiation transport simulations. (English) Zbl 07742890 J. Comput. Phys. 492, Article ID 112385, 21 p. (2023). MSC: 65Nxx 65-XX 65Cxx PDFBibTeX XMLCite \textit{I. Halvic} and \textit{J. C. Ragusa}, J. Comput. Phys. 492, Article ID 112385, 21 p. (2023; Zbl 07742890) Full Text: DOI
Yang, Qihong; Deng, Yangtao; Yang, Yu; He, Qiaolin; Zhang, Shiquan Neural networks based on power method and inverse power method for solving linear eigenvalue problems. (English) Zbl 07741346 Comput. Math. Appl. 147, 14-24 (2023). MSC: 65N25 68Txx 68T05 68T07 65L12 PDFBibTeX XMLCite \textit{Q. Yang} et al., Comput. Math. Appl. 147, 14--24 (2023; Zbl 07741346) Full Text: DOI arXiv
Chetry, Manisha; Borzacchiello, Domenico; D’Avino, Gaetano; Rocha Da Silva, Luisa Comparing different stabilization strategies for reduced order modeling of viscoelastic fluid flow problems. (English) Zbl 1521.76037 Comput. Fluids 265, Article ID 106013, 13 p. (2023). MSC: 76A10 76M10 65N30 PDFBibTeX XMLCite \textit{M. Chetry} et al., Comput. Fluids 265, Article ID 106013, 13 p. (2023; Zbl 1521.76037) Full Text: DOI
He, Xiao-Feng; Li, Liang; Lanteri, Stéphane; Li, Kun Model order reduction for parameterized electromagnetic problems using matrix decomposition and deep neural networks. (English) Zbl 07733949 J. Comput. Appl. Math. 431, Article ID 115271, 24 p. (2023). MSC: 65Mxx 78Mxx 65Nxx PDFBibTeX XMLCite \textit{X.-F. He} et al., J. Comput. Appl. Math. 431, Article ID 115271, 24 p. (2023; Zbl 07733949) Full Text: DOI arXiv
Chen, Yuanhong; Sun, Xiang; Lin, Yifan; Gao, Zhen An adaptive non-intrusive multi-fidelity reduced basis method for parameterized partial differential equations. (English) Zbl 1514.65125 East Asian J. Appl. Math. 13, No. 2, 398-419 (2023). MSC: 65M60 35A24 78A48 PDFBibTeX XMLCite \textit{Y. Chen} et al., East Asian J. Appl. Math. 13, No. 2, 398--419 (2023; Zbl 1514.65125) Full Text: DOI
Arcucci, Rossella; Xiao, Dunhui; Fang, Fangxin; Navon, Ionel Michael; Wu, Pin; Pain, Christopher C.; Guo, Yi-Ke A reduced order with data assimilation model: theory and practice. (English) Zbl 1521.76314 Comput. Fluids 257, Article ID 105862, 12 p. (2023). MSC: 76M10 65M60 62R07 76F50 PDFBibTeX XMLCite \textit{R. Arcucci} et al., Comput. Fluids 257, Article ID 105862, 12 p. (2023; Zbl 1521.76314) Full Text: DOI
Abbaszadeh, Mostafa; Azis, Mohammad Ivan; Dehghan, Mehdi; Mohammadi-Arani, Reza Reduced order model for simulation of air pollution model and application in 2D urban street canyons via the meshfree gradient smoothing method. (English) Zbl 07692044 Comput. Math. Appl. 140, 195-210 (2023). MSC: 76M25 76D05 76M12 65M06 76M20 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Comput. Math. Appl. 140, 195--210 (2023; Zbl 07692044) Full Text: DOI
Abbaszadeh, Mostafa; Kalhor, Yasmin; Dehghan, Mehdi; Donatelli, Marco A reduced-order model based on cubic B-spline basis function and SSP Runge-Kutta procedure to investigate option pricing under jump-diffusion models. (English) Zbl 1521.91384 Eng. Anal. Bound. Elem. 150, 154-166 (2023). MSC: 91G60 65M75 65D07 91G20 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Eng. Anal. Bound. Elem. 150, 154--166 (2023; Zbl 1521.91384) Full Text: DOI
Shang, Yueqiang; Ran, Hongtao A parallel subgrid stabilized algorithm for incompressible flows with nonlinear slip boundary conditions. (English) Zbl 1512.65274 Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 4087-4107 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 65Y05 76D05 76M10 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{H. Ran}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 4087--4107 (2023; Zbl 1512.65274) Full Text: DOI
Huhn, Quincy A.; Tano, Mauricio E.; Ragusa, Jean C.; Choi, Youngsoo Parametric dynamic mode decomposition for reduced order modeling. (English) Zbl 07649273 J. Comput. Phys. 475, Article ID 111852, 20 p. (2023). MSC: 65Mxx 37Mxx 65-XX PDFBibTeX XMLCite \textit{Q. A. Huhn} et al., J. Comput. Phys. 475, Article ID 111852, 20 p. (2023; Zbl 07649273) Full Text: DOI arXiv
Fu, Jinlong; Xiao, Dunhui; Fu, Rui; Li, Chenfeng; Zhu, Chuanhua; Arcucci, Rossella; Navon, Ionel M. Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes. (English) Zbl 07644844 Comput. Methods Appl. Mech. Eng. 404, Article ID 115771, 49 p. (2023). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{J. Fu} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115771, 49 p. (2023; Zbl 07644844) Full Text: DOI
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul A reduced order model for the finite element approximation of eigenvalue problems. (English) Zbl 07644830 Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{F. Bertrand} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023; Zbl 07644830) Full Text: DOI arXiv
Cheung, Siu Wun; Choi, Youngsoo; Copeland, Dylan Matthew; Huynh, Kevin Local Lagrangian reduced-order modeling for the Rayleigh-Taylor instability by solution manifold decomposition. (English) Zbl 07620355 J. Comput. Phys. 472, Article ID 111655, 29 p. (2023). MSC: 65Mxx 76Mxx 65Fxx PDFBibTeX XMLCite \textit{S. W. Cheung} et al., J. Comput. Phys. 472, Article ID 111655, 29 p. (2023; Zbl 07620355) Full Text: DOI arXiv
Li, Kun; Huang, Ting-Zhu; Li, Liang; Zhao, Ying; Lanteri, Stéphane A non-intrusive model order reduction approach for parameterized time-domain Maxwell’s equations. (English) Zbl 1498.78046 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449-473 (2023). MSC: 78M34 78M10 65M60 65M99 65F20 78A25 60G15 62F15 35Q60 PDFBibTeX XMLCite \textit{K. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449--473 (2023; Zbl 1498.78046) Full Text: DOI
Damiano, Lombardi State estimation in nonlinear parametric time dependent systems using tensor train. (English) Zbl 07769317 Int. J. Numer. Methods Eng. 123, No. 20, 4935-4956 (2022). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{L. Damiano}, Int. J. Numer. Methods Eng. 123, No. 20, 4935--4956 (2022; Zbl 07769317) Full Text: DOI
Hughes, Alexander C.; Buchan, Andrew G. An adaptive reduced order model for the angular discretization of the Boltzmann transport equation using independent basis sets over a partitioning of the space-angle domain. (English) Zbl 07768052 Int. J. Numer. Methods Eng. 123, No. 16, 3781-3799 (2022). MSC: 65Nxx 82Cxx 35Jxx PDFBibTeX XMLCite \textit{A. C. Hughes} and \textit{A. G. Buchan}, Int. J. Numer. Methods Eng. 123, No. 16, 3781--3799 (2022; Zbl 07768052) Full Text: DOI OA License
Hesthaven, Jan S.; Pagliantini, Cecilia; Rozza, Gianluigi Reduced basis methods for time-dependent problems. (English) Zbl 07674582 Acta Numerica 31, 265-345 (2022). MSC: 65M99 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., Acta Numerica 31, 265--345 (2022; Zbl 07674582) Full Text: DOI
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa Simulation of Maxwell equation based on an ADI approach and integrated radial basis function-generalized moving least squares (IRBF-GMLS) method with reduced order algorithm based on proper orthogonal decomposition. (English) Zbl 1521.78016 Eng. Anal. Bound. Elem. 143, 397-417 (2022). MSC: 78M10 65M70 35D35 65D12 78A25 86A10 PDFBibTeX XMLCite \textit{A. Ebrahimijahan} et al., Eng. Anal. Bound. Elem. 143, 397--417 (2022; Zbl 1521.78016) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi A POD-RBF-FD scheme for simulating chemotaxis models on surfaces. (English) Zbl 1521.92008 Eng. Anal. Bound. Elem. 143, 316-330 (2022). MSC: 92-08 65M06 35Q35 35Q92 65D12 92C17 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 143, 316--330 (2022; Zbl 1521.92008) Full Text: DOI
Meehan, Michael A.; Simons-Wellin, Sam; Hamlington, Peter E. Efficient algorithm for proper orthogonal decomposition of block-structured adaptively refined numerical simulations. (English) Zbl 07592131 J. Comput. Phys. 469, Article ID 111527, 27 p. (2022). MSC: 65Nxx 76Fxx 65Fxx PDFBibTeX XMLCite \textit{M. A. Meehan} et al., J. Comput. Phys. 469, Article ID 111527, 27 p. (2022; Zbl 07592131) Full Text: DOI
Behne, Patrick; Vermaak, Jan; Ragusa, Jean C. Minimally-invasive parametric model-order reduction for sweep-based radiation transport. (English) Zbl 07592130 J. Comput. Phys. 469, Article ID 111525, 18 p. (2022). MSC: 65Nxx 65-XX 65Mxx PDFBibTeX XMLCite \textit{P. Behne} et al., J. Comput. Phys. 469, Article ID 111525, 18 p. (2022; Zbl 07592130) Full Text: DOI
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat Nonintrusive model order reduction for cross-diffusion systems. (English) Zbl 1501.65089 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N06 65D12 65F20 15A69 35A01 35K51 35K58 65L10 65L12 65L20 65L70 92D25 92C40 35Q92 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022; Zbl 1501.65089) Full Text: DOI arXiv
Yu, Jian; Hesthaven, Jan S. Model order reduction for compressible flows solved using the discontinuous Galerkin methods. (English) Zbl 07578888 J. Comput. Phys. 468, Article ID 111452, 32 p. (2022). MSC: 76Mxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{J. Yu} and \textit{J. S. Hesthaven}, J. Comput. Phys. 468, Article ID 111452, 32 p. (2022; Zbl 07578888) Full Text: DOI
MohammadiArani, Reza; Dehghan, Mehdi; Abbaszadeh, Mostafa Proper orthogonal decomposition-lattice Boltzmann method: simulating the air pollutant problem in street canyon areas. (English) Zbl 1492.76097 SIAM J. Sci. Comput. 44, No. 4, B885-B909 (2022). MSC: 76N15 65M22 76M28 PDFBibTeX XMLCite \textit{R. MohammadiArani} et al., SIAM J. Sci. Comput. 44, No. 4, B885--B909 (2022; Zbl 1492.76097) Full Text: DOI
Donoghue, Geoff; Yano, Masayuki A multi-fidelity ensemble Kalman filter with hyperreduced reduced-order models. (English) Zbl 1507.65200 Comput. Methods Appl. Mech. Eng. 398, Article ID 115282, 18 p. (2022). MSC: 65M75 65C05 PDFBibTeX XMLCite \textit{G. Donoghue} and \textit{M. Yano}, Comput. Methods Appl. Mech. Eng. 398, Article ID 115282, 18 p. (2022; Zbl 1507.65200) Full Text: DOI
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong Model order reduction method based on (r)POD-ANNs for parameterized time-dependent partial differential equations. (English) Zbl 1521.65112 Comput. Fluids 241, Article ID 105481, 13 p. (2022). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{F. Cheng} et al., Comput. Fluids 241, Article ID 105481, 13 p. (2022; Zbl 1521.65112) Full Text: DOI
Du, Eugene; Yano, Masayuki Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations. (English) Zbl 07561076 J. Comput. Phys. 466, Article ID 111399, 20 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{E. Du} and \textit{M. Yano}, J. Comput. Phys. 466, Article ID 111399, 20 p. (2022; Zbl 07561076) Full Text: DOI
Lu, Qinghua; Wang, Li; Li, Longsuo Efficient uncertainty quantification of stochastic problems in CFD by combination of compressed sensing and POD-kriging. (English) Zbl 1507.76176 Comput. Methods Appl. Mech. Eng. 396, Article ID 115118, 29 p. (2022). MSC: 76M35 62M20 62M10 65C20 PDFBibTeX XMLCite \textit{Q. Lu} et al., Comput. Methods Appl. Mech. Eng. 396, Article ID 115118, 29 p. (2022; Zbl 1507.76176) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes. (English) Zbl 1524.65681 Comput. Math. Appl. 117, 127-154 (2022). MSC: 65M70 65M06 35R11 65M12 65M60 26A33 65M99 65N35 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Comput. Math. Appl. 117, 127--154 (2022; Zbl 1524.65681) Full Text: DOI
Albarakati, Aishah; Budišić, Marko; Crocker, Rose; Glass-Klaiber, Juniper; Iams, Sarah; Maclean, John; Marshall, Noah; Roberts, Colin; Van Vleck, Erik S. Model and data reduction for data assimilation: particle filters employing projected forecasts and data with application to a shallow water model. (English) Zbl 1524.62464 Comput. Math. Appl. 116, 194-211 (2022). MSC: 62M20 93E11 37N10 65C05 37M99 PDFBibTeX XMLCite \textit{A. Albarakati} et al., Comput. Math. Appl. 116, 194--211 (2022; Zbl 1524.62464) Full Text: DOI arXiv
Karatzas, Efthymios N.; Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi A reduced order cut finite element method for geometrically parametrized steady and unsteady Navier-Stokes problems. (English) Zbl 1524.76215 Comput. Math. Appl. 116, 140-160 (2022). MSC: 76M10 65N30 76D05 65M60 65M15 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Math. Appl. 116, 140--160 (2022; Zbl 1524.76215) Full Text: DOI arXiv
García-Archilla, Bosco; Novo, Julia; Rubino, Samuele Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations. (English) Zbl 1486.65167 J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022). MSC: 65M60 35Q30 65M12 65M15 65M20 76D55 PDFBibTeX XMLCite \textit{B. García-Archilla} et al., J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022; Zbl 1486.65167) Full Text: DOI arXiv
Dominesey, Kurt A.; Ji, Wei Reduced-order modeling of neutron transport separated in energy by proper generalized decomposition with applications to nuclear reactor physics. (English) Zbl 07524761 J. Comput. Phys. 449, Article ID 110744, 40 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{K. A. Dominesey} and \textit{W. Ji}, J. Comput. Phys. 449, Article ID 110744, 40 p. (2022; Zbl 07524761) Full Text: DOI
Luo, Zhendong; Yang, Jing The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows. (English) Zbl 07518115 J. Comput. Phys. 456, Article ID 111044, 22 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Z. Luo} and \textit{J. Yang}, J. Comput. Phys. 456, Article ID 111044, 22 p. (2022; Zbl 07518115) Full Text: DOI
Cao, Xiulei; Fraser, Kirk; Song, Zilong; Drummond, Chris; Huang, Huaxiong Machine learning and reduced order computation of a friction stir welding model. (English) Zbl 07518046 J. Comput. Phys. 454, Article ID 110863, 20 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{X. Cao} et al., J. Comput. Phys. 454, Article ID 110863, 20 p. (2022; Zbl 07518046) Full Text: DOI
Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. Machine learning moment closure models for the radiative transfer equation. I: Directly learning a gradient based closure. (English) Zbl 1522.65143 J. Comput. Phys. 453, Article ID 110941, 21 p. (2022). MSC: 65M06 65L06 65N06 85A25 80A21 68Q32 68T07 68T09 82C70 35R09 35Q20 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Comput. Phys. 453, Article ID 110941, 21 p. (2022; Zbl 1522.65143) Full Text: DOI arXiv
Kingora, Kamau; Sadat-Hosseini, Hamid A novel interpolation-free sharp-interface immersed boundary method. (English) Zbl 07517711 J. Comput. Phys. 453, Article ID 110933, 30 p. (2022). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{K. Kingora} and \textit{H. Sadat-Hosseini}, J. Comput. Phys. 453, Article ID 110933, 30 p. (2022; Zbl 07517711) Full Text: DOI
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder. (English) Zbl 07517153 J. Comput. Phys. 451, Article ID 110841, 29 p. (2022). MSC: 65Mxx 65Lxx 68Txx PDFBibTeX XMLCite \textit{Y. Kim} et al., J. Comput. Phys. 451, Article ID 110841, 29 p. (2022; Zbl 07517153) Full Text: DOI arXiv
Krah, Philipp; Engels, Thomas; Schneider, Kai; Reiss, Julius Wavelet adaptive proper orthogonal decomposition for large-scale flow data. (English) Zbl 07506435 Adv. Comput. Math. 48, No. 2, Paper No. 10, 40 p. (2022). MSC: 65Mxx PDFBibTeX XMLCite \textit{P. Krah} et al., Adv. Comput. Math. 48, No. 2, Paper No. 10, 40 p. (2022; Zbl 07506435) Full Text: DOI arXiv
Zeng, Yihui; Luo, Zhendong The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation. (English) Zbl 1490.65216 J. Math. Anal. Appl. 513, No. 1, Article ID 126207, 13 p. (2022). MSC: 65M60 65M99 65M12 65M15 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{Z. Luo}, J. Math. Anal. Appl. 513, No. 1, Article ID 126207, 13 p. (2022; Zbl 1490.65216) Full Text: DOI
Peng, Zhichao; Chen, Yanlai; Cheng, Yingda; Li, Fengyan A reduced basis method for radiative transfer equation. (English) Zbl 1493.65162 J. Sci. Comput. 91, No. 1, Paper No. 5, 27 p. (2022). MSC: 65M60 65N30 65K10 65N12 35R09 45K05 35Q49 82D75 PDFBibTeX XMLCite \textit{Z. Peng} et al., J. Sci. Comput. 91, No. 1, Paper No. 5, 27 p. (2022; Zbl 1493.65162) Full Text: DOI arXiv
Cavaliere, F.; Zlotnik, S.; Sevilla, R.; Larrayoz, X.; Díez, P. Nonintrusive parametric solutions in structural dynamics. (English) Zbl 1507.74456 Comput. Methods Appl. Mech. Eng. 389, Article ID 114336, 22 p. (2022). MSC: 74S05 65M60 65M50 70J10 PDFBibTeX XMLCite \textit{F. Cavaliere} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114336, 22 p. (2022; Zbl 1507.74456) Full Text: DOI
Khodabakhshi, Parisa; Willcox, Karen E. Non-intrusive data-driven model reduction for differential-algebraic equations derived from lifting transformations. (English) Zbl 1507.65135 Comput. Methods Appl. Mech. Eng. 389, Article ID 114296, 20 p. (2022). MSC: 65L80 PDFBibTeX XMLCite \textit{P. Khodabakhshi} and \textit{K. E. Willcox}, Comput. Methods Appl. Mech. Eng. 389, Article ID 114296, 20 p. (2022; Zbl 1507.65135) Full Text: DOI
Copeland, Dylan Matthew; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo Reduced order models for Lagrangian hydrodynamics. (English) Zbl 1507.76179 Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022). MSC: 76M60 76M10 65M60 PDFBibTeX XMLCite \textit{D. M. Copeland} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022; Zbl 1507.76179) Full Text: DOI arXiv
Dutta, Sourav; Farthing, Matthew W.; Perracchione, Emma; Savant, Gaurav; Putti, Mario A greedy non-intrusive reduced order model for shallow water equations. (English) Zbl 07512322 J. Comput. Phys. 439, Article ID 110378, 30 p. (2021). MSC: 41Axx 65Dxx 76Mxx PDFBibTeX XMLCite \textit{S. Dutta} et al., J. Comput. Phys. 439, Article ID 110378, 30 p. (2021; Zbl 07512322) Full Text: DOI arXiv
Oulghelou, M.; Allery, C. Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the Grassmann manifold. (English) Zbl 07510048 J. Comput. Phys. 426, Article ID 109924, 16 p. (2021). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{M. Oulghelou} and \textit{C. Allery}, J. Comput. Phys. 426, Article ID 109924, 16 p. (2021; Zbl 07510048) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Noii, Nima; Heitzinger, Clemens; Wick, Thomas A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations. (English) Zbl 07510038 J. Comput. Phys. 426, Article ID 109875, 27 p. (2021). MSC: 80-XX 65-XX PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., J. Comput. Phys. 426, Article ID 109875, 27 p. (2021; Zbl 07510038) Full Text: DOI
Xiao, Cong; Leeuwenburgh, Olwijn; Lin, Hai Xiang; Heemink, Arnold Efficient estimation of space varying parameters in numerical models using non-intrusive subdomain reduced order modeling. (English) Zbl 07508472 J. Comput. Phys. 424, Article ID 109867, 30 p. (2021). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{C. Xiao} et al., J. Comput. Phys. 424, Article ID 109867, 30 p. (2021; Zbl 07508472) Full Text: DOI
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems. (English) Zbl 07508450 J. Comput. Phys. 424, Article ID 109845, 23 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{Y. Choi} et al., J. Comput. Phys. 424, Article ID 109845, 23 p. (2021; Zbl 07508450) Full Text: DOI arXiv
Wang, Yuepeng; Ding, Xuemei; Hu, Kun; Fang, Fangxin; Navon, I. M.; Lin, Guang Feasibility of DEIM for retrieving the initial field via dimensionality reduction. (English) Zbl 07500740 J. Comput. Phys. 429, Article ID 110005, 15 p. (2021). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Comput. Phys. 429, Article ID 110005, 15 p. (2021; Zbl 07500740) Full Text: DOI
Maulik, Romit; Botsas, Themistoklis; Ramachandra, Nesar; Mason, Lachlan R.; Pan, Indranil Latent-space time evolution of non-intrusive reduced-order models using Gaussian process emulation. (English) Zbl 07493969 Physica D 416, Article ID 132797, 17 p. (2021). MSC: 65P99 37M99 68T07 76B15 PDFBibTeX XMLCite \textit{R. Maulik} et al., Physica D 416, Article ID 132797, 17 p. (2021; Zbl 07493969) Full Text: DOI arXiv
Rungpitaxmana, Suchinthra; Chaturantabut, Saifon Model reduction for Fisher’s equation with an error bound. (English) Zbl 1482.65108 Thai J. Math. 19, No. 4, 1729-1762 (2021). MSC: 65L05 65L70 93B11 PDFBibTeX XMLCite \textit{S. Rungpitaxmana} and \textit{S. Chaturantabut}, Thai J. Math. 19, No. 4, 1729--1762 (2021; Zbl 1482.65108) Full Text: Link
Voloskov, Dmitry; Pissarenko, Dimitri Adaptive POD-Galerkin technique for reservoir simulation and optimization. (English) Zbl 1477.86004 Math. Geosci. 53, No. 8, 1951-1975 (2021). MSC: 86-08 65M60 86A04 PDFBibTeX XMLCite \textit{D. Voloskov} and \textit{D. Pissarenko}, Math. Geosci. 53, No. 8, 1951--1975 (2021; Zbl 1477.86004) Full Text: DOI arXiv
Vu-Huu, T.; Le-Thanh, C.; Nguyen-Xuan, H.; Wahab, M. Abdel Equal-order polygonal analysis for fluid computation in curved domain. (English) Zbl 07446900 Int. J. Comput. Methods 18, No. 5, Article ID 2040003, 10 p. (2021). MSC: 76-XX 65-XX PDFBibTeX XMLCite \textit{T. Vu-Huu} et al., Int. J. Comput. Methods 18, No. 5, Article ID 2040003, 10 p. (2021; Zbl 07446900) Full Text: DOI
Kadeethum, Teeratorn; Ballarin, Francesco; Bouklas, Nikolaos Data-driven reduced order modeling of poroelasticity of heterogeneous media based on a discontinuous Galerkin approximation. (English) Zbl 1480.65260 GEM. Int. J. Geomath. 12, Paper No. 12, 45 p. (2021). MSC: 65M60 76S05 86A05 PDFBibTeX XMLCite \textit{T. Kadeethum} et al., GEM. Int. J. Geomath. 12, Paper No. 12, 45 p. (2021; Zbl 1480.65260) Full Text: DOI arXiv
Sarna, Neeraj; Benner, Peter Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. (English) Zbl 1507.65210 Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021). MSC: 65M99 60G15 62J02 PDFBibTeX XMLCite \textit{N. Sarna} and \textit{P. Benner}, Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021; Zbl 1507.65210) Full Text: DOI arXiv
Onori, Michel; Hills, Nicholas J. Reduced order modelling for a rotor-stator cavity using proper orthogonal decomposition. (English) Zbl 1521.76357 Comput. Fluids 216, Article ID 104818, 18 p. (2021). MSC: 76M10 65M60 76F65 76U05 PDFBibTeX XMLCite \textit{M. Onori} and \textit{N. J. Hills}, Comput. Fluids 216, Article ID 104818, 18 p. (2021; Zbl 1521.76357) Full Text: DOI
Mohammadi, Arash; Shimoyama, Koji; Karimi, Mohamad Sadeq; Raisee, Mehrdad Efficient uncertainty quantification of CFD problems by combination of proper orthogonal decomposition and compressed sensing. (English) Zbl 1481.76166 Appl. Math. Modelling 94, 187-225 (2021). MSC: 76M35 65C20 94A12 PDFBibTeX XMLCite \textit{A. Mohammadi} et al., Appl. Math. Modelling 94, 187--225 (2021; Zbl 1481.76166) Full Text: DOI
Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. (English) Zbl 1473.65144 Commun. Comput. Phys. 30, No. 1, 34-66 (2021). MSC: 65M08 35Q35 65M22 76D05 76M12 PDFBibTeX XMLCite \textit{S. K. Star} et al., Commun. Comput. Phys. 30, No. 1, 34--66 (2021; Zbl 1473.65144) Full Text: DOI arXiv
Abdedou, Azzedine; Soulaïmani, Azzeddine A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: application to dam-break flows. (English) Zbl 1524.76130 Comput. Math. Appl. 102, 187-205 (2021). MSC: 76D05 65N30 76M10 65M60 PDFBibTeX XMLCite \textit{A. Abdedou} and \textit{A. Soulaïmani}, Comput. Math. Appl. 102, 187--205 (2021; Zbl 1524.76130) Full Text: DOI arXiv
Lee, SiHun; Jang, Kijoo; Cho, Haeseong; Kim, Haedong; Shin, SangJoon Parametric non-intrusive model order reduction for flow-fields using unsupervised machine learning. (English) Zbl 1507.76113 Comput. Methods Appl. Mech. Eng. 384, Article ID 113999, 24 p. (2021). MSC: 76M10 65Z05 76M22 PDFBibTeX XMLCite \textit{S. Lee} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113999, 24 p. (2021; Zbl 1507.76113) Full Text: DOI
Popov, Andrey A.; Mou, Changhong; Sandu, Adrian; Iliescu, Traian A multifidelity ensemble Kalman filter with reduced order control variates. (English) Zbl 1467.62153 SIAM J. Sci. Comput. 43, No. 2, A1134-A1162 (2021). MSC: 62M20 62F15 65C05 65M60 62-08 PDFBibTeX XMLCite \textit{A. A. Popov} et al., SIAM J. Sci. Comput. 43, No. 2, A1134--A1162 (2021; Zbl 1467.62153) Full Text: DOI arXiv
Benosman, Mouhacine; Borggaard, Jeff Data-driven robust state estimation for reduced-order models of 2D Boussinesq equations with parametric uncertainties. (English) Zbl 1521.76318 Comput. Fluids 214, Article ID 104773, 15 p. (2021). MSC: 76M10 65M60 76D55 PDFBibTeX XMLCite \textit{M. Benosman} and \textit{J. Borggaard}, Comput. Fluids 214, Article ID 104773, 15 p. (2021; Zbl 1521.76318) Full Text: DOI
Kalogeris, Ioannis; Papadopoulos, Vissarion Diffusion maps-aided neural networks for the solution of parametrized PDEs. (English) Zbl 1506.65180 Comput. Methods Appl. Mech. Eng. 376, Article ID 113568, 24 p. (2021). MSC: 65M99 68T05 PDFBibTeX XMLCite \textit{I. Kalogeris} and \textit{V. Papadopoulos}, Comput. Methods Appl. Mech. Eng. 376, Article ID 113568, 24 p. (2021; Zbl 1506.65180) Full Text: DOI
Hernandez, Quercus; Badías, Alberto; González, David; Chinesta, Francisco; Cueto, Elías Deep learning of thermodynamics-aware reduced-order models from data. (English) Zbl 1506.80005 Comput. Methods Appl. Mech. Eng. 379, Article ID 113763, 18 p. (2021). MSC: 80M99 65Q99 80A99 68T05 PDFBibTeX XMLCite \textit{Q. Hernandez} et al., Comput. Methods Appl. Mech. Eng. 379, Article ID 113763, 18 p. (2021; Zbl 1506.80005) Full Text: DOI arXiv Link
Ma, Zhan; Pan, Wenxiao Data-driven nonintrusive reduced order modeling for dynamical systems with moving boundaries using Gaussian process regression. (English) Zbl 1506.65137 Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021). MSC: 65M08 37M10 60G15 62G08 PDFBibTeX XMLCite \textit{Z. Ma} and \textit{W. Pan}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021; Zbl 1506.65137) Full Text: DOI arXiv
Alsayyari, Fahad; Perkó, Zoltán; Tiberga, Marco; Kloosterman, Jan Leen; Lathouwers, Danny A fully adaptive nonintrusive reduced-order modelling approach for parametrized time-dependent problems. (English) Zbl 1506.74384 Comput. Methods Appl. Mech. Eng. 373, Article ID 113483, 21 p. (2021). MSC: 74S05 65M60 PDFBibTeX XMLCite \textit{F. Alsayyari} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113483, 21 p. (2021; Zbl 1506.74384) Full Text: DOI
Han, Seongji; Choi, Hee-Sun; Choi, Juhwan; Choi, Jin Hwan; Kim, Jin-Gyun A DNN-based data-driven modeling employing coarse sample data for real-time flexible multibody dynamics simulations. (English) Zbl 1506.65097 Comput. Methods Appl. Mech. Eng. 373, Article ID 113480, 33 p. (2021). MSC: 65L05 70E55 PDFBibTeX XMLCite \textit{S. Han} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113480, 33 p. (2021; Zbl 1506.65097) Full Text: DOI
Mai-Duy, N.; Strunin, D. New approximations for one-dimensional 3-point and two-dimensional 5-point compact integrated RBF stencils. (English) Zbl 1464.65211 Eng. Anal. Bound. Elem. 125, 12-22 (2021). MSC: 65N35 65D12 PDFBibTeX XMLCite \textit{N. Mai-Duy} and \textit{D. Strunin}, Eng. Anal. Bound. Elem. 125, 12--22 (2021; Zbl 1464.65211) Full Text: DOI Link
Sun, Xiang; Choi, Jung-Il Non-intrusive reduced-order modeling for uncertainty quantification of space-time-dependent parameterized problems. (English) Zbl 1524.76230 Comput. Math. Appl. 87, 50-64 (2021). MSC: 76M10 65M60 76D05 65N99 35B30 76M22 PDFBibTeX XMLCite \textit{X. Sun} and \textit{J.-I. Choi}, Comput. Math. Appl. 87, 50--64 (2021; Zbl 1524.76230) Full Text: DOI
Lu, Chuan; Zhu, Xueyu Bifidelity data-assisted neural networks in nonintrusive reduced-order modeling. (English) Zbl 1466.65225 J. Sci. Comput. 87, No. 1, Paper No. 8, 30 p. (2021). MSC: 65N99 68T07 PDFBibTeX XMLCite \textit{C. Lu} and \textit{X. Zhu}, J. Sci. Comput. 87, No. 1, Paper No. 8, 30 p. (2021; Zbl 1466.65225) Full Text: DOI arXiv
Zhou, Yanjie; Zhang, Yanan; Liang, Ye; Luo, Zhendong A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation. (English) Zbl 1458.35381 Appl. Numer. Math. 162, 192-200 (2021). MSC: 35Q53 35G20 65M06 65M12 65M99 65B05 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Appl. Numer. Math. 162, 192--200 (2021; Zbl 1458.35381) Full Text: DOI
Teng, Fei; Luo, Zhendong A reduced-order extrapolated approach to solution coefficient vectors in the Crank-Nicolson finite element method for the uniform transmission line equation. (English) Zbl 1452.65250 J. Math. Anal. Appl. 493, No. 1, Article ID 124511, 13 p. (2021). MSC: 65M60 65M06 65M99 65M12 65M15 35Q60 PDFBibTeX XMLCite \textit{F. Teng} and \textit{Z. Luo}, J. Math. Anal. Appl. 493, No. 1, Article ID 124511, 13 p. (2021; Zbl 1452.65250) Full Text: DOI
Dietemann, Bastien; Kraft, Torsten; Kruggel-Emden, Harald; Bierwisch, Claas A smoothed particle hydrodynamics scheme for arbitrarily shaped rigid bodies within highly viscous fluids. (English) Zbl 07785539 J. Comput. Phys.: X 8, Article ID 100068, 25 p. (2020). MSC: 76Mxx 76Dxx 65Mxx PDFBibTeX XMLCite \textit{B. Dietemann} et al., J. Comput. Phys.: X 8, Article ID 100068, 25 p. (2020; Zbl 07785539) Full Text: DOI
Becerra-Sagredo, Julián T.; Jeltsch, Rolf; Málaga, Carlos The collocation basis of compact finite differences for moment-preserving interpolations: review, extension and applications. (English) Zbl 1482.65018 Commun. Comput. Phys. 28, No. 4, 1245-1273 (2020). MSC: 65D05 65D07 41A05 76M23 PDFBibTeX XMLCite \textit{J. T. Becerra-Sagredo} et al., Commun. Comput. Phys. 28, No. 4, 1245--1273 (2020; Zbl 1482.65018) Full Text: DOI
Mack, Julian; Arcucci, Rossella; Molina-Solana, Miguel; Guo, Yi-Ke Attention-based convolutional autoencoders for 3D-variational data assimilation. (English) Zbl 1506.94007 Comput. Methods Appl. Mech. Eng. 372, Article ID 113291, 33 p. (2020). MSC: 94A08 65R10 86-08 PDFBibTeX XMLCite \textit{J. Mack} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113291, 33 p. (2020; Zbl 1506.94007) Full Text: DOI arXiv
Karatzas, Efthymios N.; Stabile, Giovanni; Nouveau, Leo; Scovazzi, Guglielmo; Rozza, Gianluigi A reduced-order shifted boundary method for parametrized incompressible Navier-Stokes equations. (English) Zbl 1506.76086 Comput. Methods Appl. Mech. Eng. 370, Article ID 113273, 18 p. (2020). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., Comput. Methods Appl. Mech. Eng. 370, Article ID 113273, 18 p. (2020; Zbl 1506.76086) Full Text: DOI arXiv
Georgaka, Sokratia; Stabile, Giovanni; Star, Kelbij; Rozza, Gianluigi; Bluck, Michael J. A hybrid reduced order method for modelling turbulent heat transfer problems. (English) Zbl 1502.65087 Comput. Fluids 208, Article ID 104615, 13 p. (2020). MSC: 65M08 65D12 76D05 PDFBibTeX XMLCite \textit{S. Georgaka} et al., Comput. Fluids 208, Article ID 104615, 13 p. (2020; Zbl 1502.65087) Full Text: DOI arXiv
Zhang, Min; Huang, Weizhang; Qiu, Jianxian High-order conservative positivity-preserving DG-interpolation for deforming meshes and application to moving mesh DG simulation of radiative transfer. (English) Zbl 1454.65122 SIAM J. Sci. Comput. 42, No. 5, A3109-A3135 (2020). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M60 65M50 65D05 35R09 45J05 85A25 PDFBibTeX XMLCite \textit{M. Zhang} et al., SIAM J. Sci. Comput. 42, No. 5, A3109--A3135 (2020; Zbl 1454.65122) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi Simulation flows with multiple phases and components via the radial basis functions-finite difference (RBF-FD) procedure: Shan-Chen model. (English) Zbl 1464.65081 Eng. Anal. Bound. Elem. 119, 151-161 (2020). MSC: 65M06 65D12 65M70 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 119, 151--161 (2020; Zbl 1464.65081) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation. (English) Zbl 1452.65145 Appl. Numer. Math. 158, 271-291 (2020). MSC: 65M06 65N06 65M99 65M15 65M12 65D30 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 158, 271--291 (2020; Zbl 1452.65145) Full Text: DOI
Luo, Zhendong; Jiang, Wenrui A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation. (English) Zbl 1450.65126 Appl. Numer. Math. 158, 123-133 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M12 65M15 65M99 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{W. Jiang}, Appl. Numer. Math. 158, 123--133 (2020; Zbl 1450.65126) Full Text: DOI
Li, Yipeng; Chen, Qiao; Wang, Xuebin; Jiao, Xiangmin WLS-ENO remap: superconvergent and non-oscillatory weighted least squares data transfer on surfaces. (English) Zbl 1437.65008 J. Comput. Phys. 417, Article ID 109578, 20 p. (2020). MSC: 65D05 65M08 65M60 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Phys. 417, Article ID 109578, 20 p. (2020; Zbl 1437.65008) Full Text: DOI arXiv
Cheng, M.; Fang, F.; Pain, C. C.; Navon, I. M. Data-driven modelling of nonlinear spatio-temporal fluid flows using a deep convolutional generative adversarial network. (English) Zbl 1442.76040 Comput. Methods Appl. Mech. Eng. 365, Article ID 113000, 17 p. (2020). MSC: 76D05 76-10 76M10 65M60 PDFBibTeX XMLCite \textit{M. Cheng} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 113000, 17 p. (2020; Zbl 1442.76040) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi Reduced order modeling of time-dependent incompressible Navier-Stokes equation with variable density based on a local radial basis functions-finite difference (LRBF-FD) technique and the POD/DEIM method. (English) Zbl 1442.65287 Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020). MSC: 65M70 65D12 76D05 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Comput. Methods Appl. Mech. Eng. 364, Article ID 112914, 28 p. (2020; Zbl 1442.65287) Full Text: DOI
Marconi, Jacopo; Tiso, Paolo; Braghin, Francesco A nonlinear reduced order model with parametrized shape defects. (English) Zbl 1441.74262 Comput. Methods Appl. Mech. Eng. 360, Article ID 112785, 22 p. (2020). MSC: 74S05 65N30 74H45 PDFBibTeX XMLCite \textit{J. Marconi} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112785, 22 p. (2020; Zbl 1441.74262) Full Text: DOI
Wu, Pin; Sun, Junwu; Chang, Xuting; Zhang, Wenjie; Arcucci, Rossella; Guo, Yike; Pain, Christopher C. Data-driven reduced order model with temporal convolutional neural network. (English) Zbl 1441.76101 Comput. Methods Appl. Mech. Eng. 360, Article ID 112766, 13 p. (2020). MSC: 76M99 65F50 PDFBibTeX XMLCite \textit{P. Wu} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112766, 13 p. (2020; Zbl 1441.76101) Full Text: DOI
Yang, Feng-Lian; Yan, Liang A non-intrusive reduced basis EKI for time fractional diffusion inverse problems. (English) Zbl 1431.65161 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 183-202 (2020). MSC: 65M32 62F15 35R11 PDFBibTeX XMLCite \textit{F.-L. Yang} and \textit{L. Yan}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 183--202 (2020; Zbl 1431.65161) Full Text: DOI arXiv
Abbaszadeh, Mostafa; Dehghan, Mehdi Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique. (English) Zbl 1444.76083 Appl. Numer. Math. 150, 274-294 (2020). Reviewer: Petr Sváček (Praha) MSC: 76M99 76M20 76A10 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 150, 274--294 (2020; Zbl 1444.76083) Full Text: DOI
Karatzas, Efthymios N.; Stabile, Giovanni; Atallah, Nabil; Scovazzi, Guglielmo; Rozza, Gianluigi A reduced order approach for the embedded shifted boundary FEM and a heat exchange system on parametrized geometries. (English) Zbl 1442.65376 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 111-125 (2020). MSC: 65N30 65N38 65N50 80M10 80M15 80A19 35K05 PDFBibTeX XMLCite \textit{E. N. Karatzas} et al., IUTAM Bookser. 36, 111--125 (2020; Zbl 1442.65376) Full Text: DOI arXiv