P.W. Li*, The space–time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation. Applied Mathematics Letters. 132, 101881, 2022.
P.W. Li*, J. K. Grabski, C.M. Fan and F.J Wang, A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media. Engineering Analysis with Boundary Elements. 142, 138-152, 2022.
S.F Cheng, F.J Wang*, P.W. Li, W.Z Qu, Singular boundary method for 2D and 3D acoustic design sensitivity analysis. Computers & Mathematics with Applications. 119, 371-386, 2022.
Y.N. Xing, Lina Song*, P.W Li, A generalized finite difference method for solving biharmonic interface problems. Engineering Analysis with Boundary Elements. 132, 159-173, 2022.
P.W. Li*, C.M. Fan and J. K. Grabski, A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique. Engineering Analysis with Boundary Elements. 131, 159-173, 2021.
M.G. Shao, Lina Song, P.W. Li, A generalized finite difference method for solving Stokes interface problems. Engineering Analysis with Boundary Elements. 132, 50-64, 2021.
F.J. Wang*, Z.C. Chen, P.W. Li and C.M. Fan, Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains. Engineering Analysis with Boundary Elements. 129, 82-92, 2021.
P.W. Li*, Space–time generalized finite difference nonlinear model for solving unsteady Burgers’ equations. Applied Mathematics Letters. 114, 106896, 2021
S. Liu, P.W. Li*, C.M. Fan and Y. Gu, Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion equations, Engineering Analysis with Boundary Elements. 124, 237-244, 2021.
W.Z. Qu*, L. Sun and P.W. Li, Bending analysis of simply supported and clamped thin elastic plates by using a modified version of the LMFS, 185, 347-357, 2021
X. Yue, F.J. Wang*, P.W. Li and C.M. Fan, Local non-singular knot method for large-scale computation of acoustic problems in complicated geometries, 84, 128-143, 2021
Lina Song, P.W. Li*, Y. Gu and C.M. Fan, Generalized finite difference method for solving stationary 2D and 3D Stokes equations with a mixed boundary condition. Computers and Mathematics with Applications. 80, 1726-1743, 2020
Z.J. Fu*, W.H. Chu, M. Yang, P.W. Li and C.M. Fan, Estimation of tumor characteristics in a skin tissue by a meshless collocation solver. International Journal of Computational Methods. 2041009, 2020.
T. Zhang*, Z.H. Lin, G.Y. Huang, C.M. Fan and P.W. Li, Numerical simulation of improved Boussinesq model by generalized finite difference method. Ocean engineering. 198, 106975, 2020.
Z.J. Fu*, J. Zhang, P.W. Li and J.H. Zheng, A semi-Lagrangian meshless framework for numerical solutions of two-dimensional sloshing phenomenon Engineering Analysis with Boundary Elements. 112, 58-67, 2020
Z.J. Fu*, Z.C. Tang, H.T. Zhao, P.W. Li and T. Rabczuk, The numerical study on the coupled unsteady nonlinear convection-diffusion equations using a generalized finite difference collocation approach. The European Physical Journal Plus, 134:272, 2019.
P.W. Li*, Z.J. Fu, Y. Gu and Lina Song, The generalized finite difference method for the inverse Cauchy problem in linear elasticity. International Journal of Solids and Structures, 174-175, 69-84, 2019.
P.W. Li*, W. Chen, Z.J. Fu and C.M. Fan, Generalized finite difference method for solving the double-diffusive natural convection in fluid-saturated porous media. Engineering Analysis with Boundary Elements, 95, 175-186, 2018.
T. Zhang*, Y.J. Huang, L. Liang, C.M. Fan and P.W. Li, Numerical solutions of mild slope equation by generalized finite difference method. Engineering Analysis with Boundary Elements, 88, 1-13, 2018.
P.W. Li and C.M. Fan*, The generalized finite difference method for two-dimensional shallow water equations. Engineering Analysis with Boundary Elements, 80, 58-71, 2017.
T. Zhang, Y.F. Ren, Z.Q. Yang, C.M. Fan* and P.W. Li, Application of generalized finite difference method to propagation of nonlinear water waves in numerical wave flume. Ocean Engineering, 123, 278-290, 2016.
T. Zhang, Y.F. Ren, C.M. Fan* and P.W. Li, Simulation of two-dimensional sloshing phenomenon by generalized finite difference method. Engineering Analysis with Boundary Elements, 63, 82-91, 2016.
C.M. Fan*, Y.K. Huang, P.W. Li and Y.T. Lee, Numerical solutions of two-dimensional Stokes flows by the boundary knot method. CMES: Computer Modeling in Engineering & Sciences, 105, 491-515, 2015.
C.M. Fan* and P.W. Li, Numerical solutions of direct and inverse Stokes problems by the method of fundamental solutions and the Laplacian decomposition, Numerical Heat Transfer, Part B: Fundamentals, 68, 204-233, 2015.
C.M. Fan*, P.W. Li and W. Yeih, Generalized finite difference method for solving two-dimensional inverse Cauchy problems, Inverse Problems in Science & Engineering, 23(5), 737–759, 2015.
P.W. Li, C.M. Fan*, C.Y. Chen and C.Y. Ku, Generalized finite difference method for numerical solutions of density-driven groundwater flows, CMES: Computer Modeling in Engineering & Sciences, 101(5), 319-350, 2014.
C.M. Fan* and P.W. Li, Generalized finite difference method for solving two-dimensional Burgers’ equations, Procedia Engineering, 79, 55-60, 2014. (EI)
C.M. Fan*, Y.K. Huang, P.W. Li and C.L. Chiu, Application of the generalized finite-difference method to inverse biharmonic boundary-value problems, Numerical Heat Transfer, Part B: Fundamentals, 65, 129-154, 2014.
P.W. Li*, Numerical solutions of one- and two-dimensional Burgers’ equations by space-time coupled generalized finite difference method, The 5th International Workshop on Meshless method, Qingdao, China, 23-25 August, 2019.
P.W. Li*, Z.J. Fu and C.M. Fan, The space-time generalized finite difference method for solving two-dimensional Burgers’ equations, The 10th International Conference on Computational Methods(ICCM2019), Singapore, 9-13 July, 2019.
P.W. Li*, W. Chen, Y. Gu, C.M. Fan, The generalized finite difference method for the inverse Cauchy problem in linear elasticity, The 9th International Conference on Computational Methods(ICCM2018), Rome, Italy, 6-10 August, 2018.
P.W. Li and C.M. Fan, A Meshless Numerical Model with Flux Limiter for Two-dimensional Shallow Water Equations, The 7th International Conference on Computational Methods, Berkeley, California, United States, August 1-4, 2016.
C.M. Fan, T.H. Li, C.C. Chang, P.W. Li, Y.K. Huang, Generalized finite difference method for solving inverse Cauchy problems, The 5th Asia-Pacific International Conference on Computational Methods in Engineering (ICOME2015) and the 11th Chinese National Conference on Computational Methods in Engineering, Hangzhou, China, October 11-13, 2015.
P.W. Li and C.M. Fan*, A characteristic-based meshless model for numerical solutions of shallow water equations, The 5th Asia-Pacific International Conference on Computational Methods in Engineering (ICOME2015) and the 11th Chinese National Conference on Computational Methods in Engineering, Hangzhou, China, October 11-13, 2015.
P.W. Li and C.M. Fan*, The Generalized Finite Difference Method for Two-dimensional Shallow Water Equations, 2015 International Workshop on Typhoon and Flood- APEC Experience Sharing on Hazardous Weather Events and Risk Management, Taipei, Taiwan, May 27-28, 2015.
C.M. Fan, Y.K. Huang, P.W. Li and Y.T. Lee, Numerical solutions of two-dimensional Stokes flow by the boundary knot method, International Conference on Computational & Experimental Engineering and Sciences, Changwon, Korea, June 12-17, 2014.
P.W. Li, C.M. Fan, C.Y. Chen and C.Y. Ku, Generalized finite difference method for numerical solutions of density-driven groundwater flow, International Conference on Computational & Experimental Engineering and Sciences, Changwon, Korea, June 12-17, 2014.
C.M. Fan, Y.K. Huang, P.W. Li and C.L. Chiu, Generalized finite difference method for solving inverse problems governed by fourth-order partial differential equations, The 37th National Conference on Theoretical and Applied Mechanics and The 1st International Conference on Mechanics, Hsinchu, Taiwan, Nov 8-9, 2013.
C.M. Fan and P.W. Li, Generalized finite difference method for solving two-dimensional Burgers’ equations, The 37th National Conference on Theoretical and Applied Mechanics and The 1st International Conference on Mechanics, Hsinchu, Taiwan, Nov 8-9, 2013.
C.M. Fan, P.W. Li, C.C. Chang and W. Yeih, Applications of the generalized finite difference method for inverse Cauchy problems, The 37th National Conference on Theoretical and Applied Mechanics and The 1st International Conference on Mechanics, Hsinchu, Taiwan, Nov 8-9, 2013.
C.M. Fan and P.W. Li, The method of fundamental solutions and Laplacian decomposition for solving two-dimensional Stokes problems, ICOME2012/JASCOME2012, Kyoto, Japan, Dec 12-14, 2012.
发明专利:
傅卓佳; 张瑾; 李柏纬; 汤卓超 ; 一种晃动水槽对波浪形态影响的模拟方法, 2022-9-23, 中国, ZL 2019 1 0268619.3