Yu, Jian; Ray, Deep; Hesthaven, Jan S. Fourier collocation and reduced basis methods for fast modeling of compressible flows. (English) Zbl 1500.76064 Commun. Comput. Phys. 32, No. 3, 595-637 (2022). MSC: 76M22 76M20 76N15 76L05 PDFBibTeX XMLCite \textit{J. Yu} et al., Commun. Comput. Phys. 32, No. 3, 595--637 (2022; Zbl 1500.76064) Full Text: DOI
Zafar, Muhammad I.; Han, Jiequn; Zhou, Xu-Hui; Xiao, Heng Frame invariance and scalability of neural operators for partial differential equations. (English) Zbl 1495.65202 Commun. Comput. Phys. 32, No. 2, 336-363 (2022). MSC: 65N22 65Z05 65Y20 68T07 PDFBibTeX XMLCite \textit{M. I. Zafar} et al., Commun. Comput. Phys. 32, No. 2, 336--363 (2022; Zbl 1495.65202) Full Text: DOI arXiv
Dahmen, Wolfgang; Wang, Min; Wang, Zhu Nonlinear reduced DNN models for state estimation. (English) Zbl 1492.65291 Commun. Comput. Phys. 32, No. 1, 1-40 (2022). MSC: 65N20 65N21 35J15 68T07 PDFBibTeX XMLCite \textit{W. Dahmen} et al., Commun. Comput. Phys. 32, No. 1, 1--40 (2022; Zbl 1492.65291) Full Text: DOI arXiv
Gao, Zhen; Liu, Qi; Hesthaven, Jan S.; Wang, Bao-Shan; Don, Wai Sun; Wen, Xiao Non-intrusive reduced order modeling of convection dominated flows using artificial neural networks with application to Rayleigh-Taylor instability. (English) Zbl 1528.65070 Commun. Comput. Phys. 30, No. 1, 97-123 (2021). MSC: 65M60 65M99 65D12 65L04 65L06 68T07 76N15 76L05 76E17 76E30 35L65 35Q35 PDFBibTeX XMLCite \textit{Z. Gao} et al., Commun. Comput. Phys. 30, No. 1, 97--123 (2021; Zbl 1528.65070) 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
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng Isogeometric analysis with proper orthogonal decomposition for elastodynamics. (English) Zbl 1528.65076 Commun. Comput. Phys. 30, No. 2, 396-422 (2021). MSC: 65M60 65M06 65N30 65M99 65M12 65M15 35P10 35K20 74B10 74H45 74S22 35Q74 PDFBibTeX XMLCite \textit{R. Li} et al., Commun. Comput. Phys. 30, No. 2, 396--422 (2021; Zbl 1528.65076) Full Text: DOI
Wang, Xiang; Li, Jichun; Fang, Zhiwei Analysis and application of single level, multi-level Monte Carlo and quasi-Monte Carlo finite element methods for time-dependent Maxwell’s equations with random inputs. (English) Zbl 1473.65216 Commun. Comput. Phys. 29, No. 1, 211-236 (2021). MSC: 65M60 65C05 35L15 35Q60 78M10 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Comput. Phys. 29, No. 1, 211--236 (2021; Zbl 1473.65216) Full Text: DOI
Georgaka, Sokratia; Stabile, Giovanni; Rozza, Gianluigi; Bluck, Michael J. Parametric POD-Galerkin model order reduction for unsteady-state heat transfer problems. (English) Zbl 1473.78016 Commun. Comput. Phys. 27, No. 1, 1-32 (2020). MSC: 78M34 97N40 35Q35 PDFBibTeX XMLCite \textit{S. Georgaka} et al., Commun. Comput. Phys. 27, No. 1, 1--32 (2020; Zbl 1473.78016) Full Text: DOI arXiv
Rom, Michael; Müller, Siegfried A reduced basis method for the homogenized Reynolds equation applied to textured surfaces. (English) Zbl 1488.35048 Commun. Comput. Phys. 24, No. 2, 481-509 (2018). MSC: 35B27 76D08 76M50 PDFBibTeX XMLCite \textit{M. Rom} and \textit{S. Müller}, Commun. Comput. Phys. 24, No. 2, 481--509 (2018; Zbl 1488.35048) Full Text: DOI