Yang, Zihao; Wang, Xintong; Guan, Xiaofei; Huang, Jizu; Wu, Xixin A normalizing field flow induced two-stage stochastic homogenization method for random composite materials. (English) Zbl 07783560 Commun. Comput. Phys. 34, No. 3, 787-812 (2023). MSC: 65M12 74Q05 PDFBibTeX XMLCite \textit{Z. Yang} et al., Commun. Comput. Phys. 34, No. 3, 787--812 (2023; Zbl 07783560) Full Text: DOI
Basir, Shamsulhaq Investigating and mitigating failure modes in physics-informed neural networks (PINNs). (English) Zbl 1514.65146 Commun. Comput. Phys. 33, No. 5, 1240-1269 (2023). MSC: 65M99 35E05 35E15 68T07 90C30 90C47 90C90 PDFBibTeX XMLCite \textit{S. Basir}, Commun. Comput. Phys. 33, No. 5, 1240--1269 (2023; Zbl 1514.65146) Full Text: DOI arXiv
Ma, Hao; Zhang, Yuxuan; Thuerey, Nils; Hu, Xiangyu; Haidn, Oskar J. Physics-driven learning of the steady Navier-Stokes equations using deep convolutional neural networks. (English) Zbl 1500.76071 Commun. Comput. Phys. 32, No. 3, 715-736 (2022). MSC: 76M99 76D05 68T05 PDFBibTeX XMLCite \textit{H. Ma} et al., Commun. Comput. Phys. 32, No. 3, 715--736 (2022; Zbl 1500.76071) Full Text: DOI arXiv
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
Guo, Hailong; Yang, Xu Deep unfitted Nitsche method for elliptic interface problems. (English) Zbl 1493.65203 Commun. Comput. Phys. 31, No. 4, 1162-1179 (2022). MSC: 65N30 68T07 65C05 35J25 35A15 65K05 PDFBibTeX XMLCite \textit{H. Guo} and \textit{X. Yang}, Commun. Comput. Phys. 31, No. 4, 1162--1179 (2022; Zbl 1493.65203) Full Text: DOI arXiv
Jagtap, N. V.; Mudunuru, M. K.; Nakshatrala, K. B. A deep learning modeling framework to capture mixing patterns in reactive-transport systems. (English) Zbl 1507.35182 Commun. Comput. Phys. 31, No. 1, 188-223 (2022). MSC: 35Q35 35Q79 76V05 80A32 92E20 35K57 35-04 35K51 76M10 65M60 65M06 65N30 68T07 68Q32 PDFBibTeX XMLCite \textit{N. V. Jagtap} et al., Commun. Comput. Phys. 31, No. 1, 188--223 (2022; Zbl 1507.35182) Full Text: DOI arXiv