Lu, Xin; Zhang, Ping; Shi, Liwei; Hou, Songming; Kuang, Ying A radial basis function meshless numerical method for solving interface problems in irregular domains. (English) Zbl 1488.65692 Adv. Appl. Math. Mech. 13, No. 3, 645-670 (2021). MSC: 65N35 65D12 65M70 65M06 65M15 35J05 35K05 PDFBibTeX XMLCite \textit{X. Lu} et al., Adv. Appl. Math. Mech. 13, No. 3, 645--670 (2021; Zbl 1488.65692) Full Text: DOI
Chen, Yuan; Hou, Songming; Zhang, Xu An immersed finite element method for elliptic interface problems with multi-domain and triple junction points. (English) Zbl 1488.65608 Adv. Appl. Math. Mech. 11, No. 5, 1005-1021 (2019). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{Y. Chen} et al., Adv. Appl. Math. Mech. 11, No. 5, 1005--1021 (2019; Zbl 1488.65608) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei; Zhang, Ping A bilinear Petrov-Galerkin finite element method for solving elliptic equation with discontinuous coefficients. (English) Zbl 1488.65659 Adv. Appl. Math. Mech. 11, No. 1, 216-240 (2019). MSC: 65N30 65F50 65F35 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Appl. Math. Mech. 11, No. 1, 216--240 (2019; Zbl 1488.65659) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei A simple weak formulation for solving two-dimensional diffusion equation with local reaction on the interface. (English) Zbl 1409.65076 Comput. Math. Appl. 75, No. 4, 1378-1389 (2018). MSC: 65M60 35K51 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Math. Appl. 75, No. 4, 1378--1389 (2018; Zbl 1409.65076) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei An improved non-traditional finite element formulation for solving three-dimensional elliptic interface problems. (English) Zbl 1368.65237 Comput. Math. Appl. 73, No. 3, 374-384 (2017). MSC: 65N30 65N55 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Math. Appl. 73, No. 3, 374--384 (2017; Zbl 1368.65237) Full Text: DOI
Hou, Songming; Song, Peng; Wang, Liqun; Zhao, Hongkai A weak formulation for solving elliptic interface problems without body fitted grid. (English) Zbl 1314.65147 J. Comput. Phys. 249, 80-95 (2013). MSC: 65N30 35J99 PDFBibTeX XMLCite \textit{S. Hou} et al., J. Comput. Phys. 249, 80--95 (2013; Zbl 1314.65147) Full Text: DOI