| Numerical approximations of Allen-Cahn and Cahn-Hilliard equations J Shen, X Yang Discrete Contin. Dyn. Syst 28 (4), 1669-1691, 2010 | 329 | 2010 |
| A phase-field model and its numerical approximation for two-phase incompressible flows with different densities and viscosities J Shen, X Yang SIAM Journal on Scientific Computing 32 (3), 1159-1179, 2010 | 190 | 2010 |
| Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method X Yang, JJ Feng, C Liu, J Shen Journal of Computational Physics 218 (1), 417-428, 2006 | 183 | 2006 |
| Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows J Shen, X Yang Chinese Annals of Mathematics, Series B 31 (5), 743-758, 2010 | 81 | 2010 |
| Decoupled, energy stable schemes for phase-field models of two-phase incompressible flows J Shen, X Yang SIAM Journal on Numerical Analysis 53 (1), 279-296, 2015 | 80 | 2015 |
| An efficient moving mesh spectral method for the phase-field model of two-phase flows J Shen, X Yang Journal of computational physics 228 (8), 2978-2992, 2009 | 80 | 2009 |
| Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends X Yang Journal of Computational Physics 327, 294-316, 2016 | 78 | 2016 |
| Error analysis of stabilized semi-implicit method of Allen-Cahn equation X Yang Discrete Contin. Dyn. Syst. Ser. B 11 (4), 1057-1070, 2009 | 68 | 2009 |
| Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method X Yang, J Zhao, Q Wang Journal of Computational Physics 333, 104-127, 2017 | 62 | 2017 |
| Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model X Yang, L Ju Computer Methods in Applied Mechanics and Engineering 315, 691-712, 2017 | 55 | 2017 |
| Decoupled energy stable schemes for phase-field models of two-phase complex fluids J Shen, X Yang SIAM Journal on Scientific Computing 36 (1), B122-B145, 2014 | 54 | 2014 |
| Linearly first-and second-order, unconditionally energy stable schemes for the phase field crystal model X Yang, D Han Journal of Computational Physics 330, 1116-1134, 2017 | 52 | 2017 |
| Efficient energy stable numerical schemes for a phase field moving contact line model J Shen, X Yang, H Yu Journal of Computational Physics 284, 617-630, 2015 | 51 | 2015 |
| Numerical Approximations for a three components Cahn-Hilliard phase-field Model based on the Invariant Energy Quadratization method XYJZQWJ Shen M3AS: Mathematical Models and Methods in Applied Sciences 27 (11), 1993-2030,, 0 | 49* | |
| A novel linear second order unconditionally energy stable scheme for a hydrodynamic Q-tensor model of liquid crystals J Zhao, X Yang, Y Gong, Q Wang Computer Methods in Applied Mechanics and Engineering 318, 803-825, 2017 | 46 | 2017 |
| Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach J Zhao, Q Wang, X Yang International Journal for Numerical Methods in Engineering 110 (3), 279-300, 2017 | 45 | 2017 |
| Numerical analysis of second order, fully discrete energy stable schemes for phase field models of two-phase incompressible flows D Han, A Brylev, X Yang, Z Tan Journal of Scientific Computing 70 (3), 965-989, 2017 | 42 | 2017 |
| Decoupled energy stable schemes for a phase-field model of two-phase incompressible flows with variable density C Liu, J Shen, X Yang Journal of Scientific Computing 62 (2), 601-622, 2015 | 42 | 2015 |
| Mass and volume conservation in phase field models for binary fluids J Shen, X Yang, Q Wang Communications in Computational Physics 13 (4), 1045-1065, 2013 | 42 | 2013 |
| A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids J Zhao, X Yang, J Shen, Q Wang Journal of Computational Physics 305, 539-556, 2016 | 41 | 2016 |
Jie ShenProfessor of Mathematics at Purdue UniversityVerified email at purdue.edu
