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 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 elliptic interface problems using Petrov-Galerkin formulation with adaptive refinement. (English) Zbl 1427.65382 Math. Probl. Eng. 2018, Article ID 3721258, 12 p. (2018). MSC: 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Probl. Eng. 2018, Article ID 3721258, 12 p. (2018; Zbl 1427.65382) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei A numerical method for solving three-dimensional elliptic interface problems with triple junction points. (English) Zbl 1382.65421 Adv. Comput. Math. 44, No. 1, 175-193 (2018). MSC: 65N30 35J25 65N50 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Comput. Math. 44, No. 1, 175--193 (2018; Zbl 1382.65421) Full Text: DOI
Wang, Liqun; Hou, Songming; Shi, Liwei A weak formulation for solving the elliptic interface problems with imperfect contact. (English) Zbl 1488.65657 Adv. Appl. Math. Mech. 9, No. 5, 1189-1205 (2017). MSC: 65N30 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Appl. Math. Mech. 9, No. 5, 1189--1205 (2017; Zbl 1488.65657) 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; Shi, Liwei A simple method for matrix-valued coefficient elliptic equations with sharp-edged interfaces. (English) Zbl 1337.65161 Appl. Math. Comput. 242, 917-930 (2014). MSC: 65N30 PDFBibTeX XMLCite \textit{L. Wang} and \textit{L. Shi}, Appl. Math. Comput. 242, 917--930 (2014; Zbl 1337.65161) 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
Wang, Liqun; Hou, Songming; Shi, Liwei A numerical method for solving 3D elasticity equations with sharp-edged interfaces. (English) Zbl 1302.74171 Int. J. Partial Differ. Equ. 2013, Article ID 476873, 13 p. (2013). MSC: 74S05 65N30 35Q74 74E30 74M15 PDFBibTeX XMLCite \textit{L. Wang} et al., Int. J. Partial Differ. Equ. 2013, Article ID 476873, 13 p. (2013; Zbl 1302.74171) Full Text: DOI
Wang, Liqun; Shi, Liwei Numerical method for solving matrix coefficient elliptic equation on irregular domains with sharp-edged boundaries. (English) Zbl 1292.65129 Adv. Numer. Anal. 2013, Article ID 967342, 10 p. (2013). MSC: 65N30 35J25 65N50 65Y20 65N12 65N15 PDFBibTeX XMLCite \textit{L. Wang} and \textit{L. Shi}, Adv. Numer. Anal. 2013, Article ID 967342, 10 p. (2013; Zbl 1292.65129) Full Text: DOI
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