Chen, Yuan; Hou, Songming; Zhang, Xu Semi and fully discrete error analysis for elastodynamic interface problems using immersed finite element methods. (English) Zbl 07741352 Comput. Math. Appl. 147, 92-110 (2023). MSC: 65N30 74S05 65N15 65N12 65M60 PDFBibTeX XMLCite \textit{Y. Chen} et al., Comput. Math. Appl. 147, 92--110 (2023; Zbl 07741352) Full Text: DOI
Wang, Liqun; Zheng, Hui; Zhao, Meiling; Shi, Liwei; Hou, Songming Petrov-Galerkin method for the band structure computation of anisotropic and piezoelectric phononic crystals. (English) Zbl 1481.74111 Appl. Math. Modelling 89, Part 2, 1090-1105 (2021). MSC: 74E10 74E15 65N30 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Modelling 89, Part 2, 1090--1105 (2021; Zbl 1481.74111) Full Text: DOI
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 A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple-junction points. (English) Zbl 1467.65108 Results Appl. Math. 8, Article ID 100100, 12 p. (2020). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Results Appl. Math. 8, Article ID 100100, 12 p. (2020; Zbl 1467.65108) Full Text: DOI arXiv
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 A FEM for solving two-dimensional nonlinear elliptic-parabolic interface problems with nonhomogeneous jump conditions. (English) Zbl 1488.65658 Adv. Appl. Math. Mech. 10, No. 3, 752-766 (2018). MSC: 65N30 65M60 65M06 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Appl. Math. Mech. 10, No. 3, 752--766 (2018; Zbl 1488.65658) 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 A numerical method for solving two-dimensional elliptic interface problems with nonhomogeneous flux jump condition and nonlinear jump condition. (English) Zbl 1401.65136 Int. J. Nonlinear Sci. Numer. Simul. 18, No. 3-4, 245-254 (2017). MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{L. Wang} et al., Int. J. Nonlinear Sci. Numer. Simul. 18, No. 3--4, 245--254 (2017; Zbl 1401.65136) 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
Wang, Liqun; Hou, Songming; Shi, Liwei; Solow, James A numerical method for solving elasticity equations with interface involving multi-domains and triple junction points. (English) Zbl 1328.74084 Appl. Math. Comput. 251, 615-625 (2015). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Comput. 251, 615--625 (2015; Zbl 1328.74084) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei An improved non-traditional finite element formulation for solving the elliptic interface problems. (English) Zbl 1313.65312 J. Comput. Math. 32, No. 1, 39-57 (2014). MSC: 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Comput. Math. 32, No. 1, 39--57 (2014; Zbl 1313.65312)
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
Hou, Songming; Wang, Liqun; Wang, Wei A numerical method for solving the elliptic interface problems with multi-domains and triple junction points. (English) Zbl 1274.65300 J. Comput. Math. 30, No. 5, 504-516 (2012). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{S. Hou} et al., J. Comput. Math. 30, No. 5, 504--516 (2012; Zbl 1274.65300) Full Text: DOI Link
Hou, Songming; Wang, Wei; Wang, Liqun Numerical method for solving matrix coefficient elliptic equation with sharp-edged interfaces. (English) Zbl 1197.65183 J. Comput. Phys. 229, No. 19, 7162-7179 (2010). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{S. Hou} et al., J. Comput. Phys. 229, No. 19, 7162--7179 (2010; Zbl 1197.65183) Full Text: DOI