Liu, Qiang; Zhu, Wei; Jia, Xiyu; Ma, Feng; Wen, Jun; Wu, Yixiong; Chen, Kuangqi; Zhang, Zhenhai; Wang, Shuang The anisotropic graph neural network model with multiscale and nonlinear characteristic for turbulence simulation. (English) Zbl 07796643 Comput. Methods Appl. Mech. Eng. 419, Article ID 116543, 26 p. (2024). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{Q. Liu} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116543, 26 p. (2024; Zbl 07796643) Full Text: DOI
Stoter, Stein K. F.; Jessen, Etienne; Niedens, Viktor; Schillinger, Dominik A DEIM driven reduced basis method for the diffuse Stokes/Darcy model coupled at parametric phase-field interfaces. (English) Zbl 1502.86003 Comput. Geosci. 26, No. 6, 1465-1502 (2022). MSC: 86-10 86A32 76S05 PDFBibTeX XMLCite \textit{S. K. F. Stoter} et al., Comput. Geosci. 26, No. 6, 1465--1502 (2022; Zbl 1502.86003) Full Text: DOI arXiv
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
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
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
Esmaeili, Mohammad; Ahmadi, Mohammad; Kazemi, Alireza A generalized DEIM technique for model order reduction of porous media simulations in reservoir optimizations. (English) Zbl 07508391 J. Comput. Phys. 422, Article ID 109769, 20 p. (2020). MSC: 76-XX 86-XX PDFBibTeX XMLCite \textit{M. Esmaeili} et al., J. Comput. Phys. 422, Article ID 109769, 20 p. (2020; Zbl 07508391) 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
Zokagoa, Jean-Marie; Soulaïmani, Azzeddine A POD-based reduced-order model for uncertainty analyses in shallow water flows. (English) Zbl 07474471 Int. J. Comput. Fluid Dyn. 32, No. 6-7, 278-292 (2018). MSC: 86-XX 76-XX PDFBibTeX XMLCite \textit{J.-M. Zokagoa} and \textit{A. Soulaïmani}, Int. J. Comput. Fluid Dyn. 32, No. 6--7, 278--292 (2018; Zbl 07474471) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095 Comput. Math. Appl. 75, No. 4, 1390-1412 (2018). MSC: 76M22 76M10 65M70 86A05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 75, No. 4, 1390--1412 (2018; Zbl 1409.76095) Full Text: DOI
Salinas, P.; Pavlidis, D.; Xie, Z.; Osman, H.; Pain, C. C.; Jackson, M. D. A robust mesh optimisation method for multiphase porous media flows. (English) Zbl 1406.65072 Comput. Geosci. 22, No. 5, 1389-1401 (2018). MSC: 65M08 65M50 76M12 76S05 86A05 PDFBibTeX XMLCite \textit{P. Salinas} et al., Comput. Geosci. 22, No. 5, 1389--1401 (2018; Zbl 1406.65072) Full Text: DOI
Nino Ruiz, Elias D.; Sandu, Adrian A derivative-free trust region framework for variational data assimilation. (English) Zbl 1326.65070 J. Comput. Appl. Math. 293, 164-179 (2016). MSC: 65K05 68Q10 86A10 90C15 90C51 90C59 65C05 PDFBibTeX XMLCite \textit{E. D. Nino Ruiz} and \textit{A. Sandu}, J. Comput. Appl. Math. 293, 164--179 (2016; Zbl 1326.65070) Full Text: DOI arXiv
Chen, Yaodeng; Zhang, Ruizhi; Gao, Yufang; Lu, Changna Analysis of the properties of adjoint equations and accuracy verification of adjoint model based on FVM. (English) Zbl 1470.76062 Abstr. Appl. Anal. 2014, Article ID 407468, 7 p. (2014). MSC: 76M12 65M08 76B15 86A05 PDFBibTeX XMLCite \textit{Y. Chen} et al., Abstr. Appl. Anal. 2014, Article ID 407468, 7 p. (2014; Zbl 1470.76062) Full Text: DOI
Altaf, M. U.; Verlaan, M.; Heemink, A. W. Efficient identification of uncertain parameters in a large-scale tidal model of the European continental shelf by proper orthogonal decomposition. (English) Zbl 1243.86001 Int. J. Numer. Methods Fluids 68, No. 4, 422-450 (2012). MSC: 86-08 86A05 PDFBibTeX XMLCite \textit{M. U. Altaf} et al., Int. J. Numer. Methods Fluids 68, No. 4, 422--450 (2012; Zbl 1243.86001) Full Text: DOI
Chen, X.; Akella, S.; Navon, I. M. A dual-weighted trust-region adaptive POD 4-D var applied to a finite-volume shallow water equations model on the sphere. (English) Zbl 1426.76347 Int. J. Numer. Methods Fluids 68, No. 3, 377-402 (2012). MSC: 76M12 76U05 86A05 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. J. Numer. Methods Fluids 68, No. 3, 377--402 (2012; Zbl 1426.76347) Full Text: DOI
Kaleta, Małgorzata P.; Hanea, Remus G.; Heemink, Arnold W.; Jansen, Jan-Dirk Model-reduced gradient-based history matching. (English) Zbl 1209.86003 Comput. Geosci. 15, No. 1, 135-153 (2011). MSC: 86-08 PDFBibTeX XMLCite \textit{M. P. Kaleta} et al., Comput. Geosci. 15, No. 1, 135--153 (2011; Zbl 1209.86003) Full Text: DOI
Fang, F.; Pain, C. C.; Navon, I. M.; Gorman, G. J.; Piggott, M. D.; Allison, P. A.; Goddard, A. J. H. A POD goal-oriented error measure for mesh optimization. (English) Zbl 1425.65096 Int. J. Numer. Methods Fluids 63, No. 2, 185-206 (2010). MSC: 65M15 65M50 86A05 PDFBibTeX XMLCite \textit{F. Fang} et al., Int. J. Numer. Methods Fluids 63, No. 2, 185--206 (2010; Zbl 1425.65096) Full Text: DOI
Behrens, Jörn; Bader, Michael Efficiency considerations in triangular adaptive mesh refinement. (English) Zbl 1192.86005 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 367, No. 1907, 4577-4589 (2009). MSC: 86-08 76M25 65N50 PDFBibTeX XMLCite \textit{J. Behrens} and \textit{M. Bader}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 367, No. 1907, 4577--4589 (2009; Zbl 1192.86005) Full Text: DOI
Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Farrell, P. E.; Allison, P. A.; Goddard, A. J. H. A POD reduced-order 4D-Var adaptive mesh ocean modelling approach. (English) Zbl 1163.86002 Int. J. Numer. Methods Fluids 60, No. 7, 709-732 (2009). MSC: 86A05 76M10 PDFBibTeX XMLCite \textit{F. Fang} et al., Int. J. Numer. Methods Fluids 60, No. 7, 709--732 (2009; Zbl 1163.86002) Full Text: DOI