Publications

1. The Internal and External Coordinated Simulation for PEMFCs, Mingyan He, Su Zhou, Ziping Huang and Pengtao Sun, Journal of Fuel Cell Science and Technology  (submitted), 2009.

2. Collaborative simulation for dynamical PEMFC power systems, Shuang Zhai, Pengtao Sun, Fengxiang Chen, Su Zhou, International Journal of Hydrogen Energy (submitted), 2009

3. Numerical Validation of a single-phase transport model for proton exchange membrane fuel cells, Shuang Zhai, Su Zhou, Ziping Huang and Pengtao Sun, Applied Mathematics and Mechanics (under review), 2009.

4. Numerical studies of thermal transport and mechanical effects due to thermal-inertia loading in PEMFC stack in sub-freezing environment, Pengtao Sun, Su Zhou, Journal of Fuel Cell Science and Technology  (accepted), 2009

5. Numerical study of finite element methods for two dimensional convection dominated convection diffusion problems, Pengtao Sun, Long Chen and Jinchao Xu, Journal of Scientific Computing (accepted), 2009.

6. SIMULINK/FLUENT Collaborative Simulation for PEM Fuel Cells, Mingyan He, Su Zhou, Ziping Huang and Pengtao Sun, Journal of System Simulation (accepted), 2008.

7. A Combined Finite Element-Upwind Finite Volume Method for Liquid-Feed Direct Methanol Fuel Cell Simulations, Pengtao Sun, Chaoyang Wang, Jinchao Xu, Journal of Fuel Cell Science and Technology (in press), 2009

8. Numerical studies of heat transport for polymer electrolyte fuel cell stack in sub-freezing environment, Pengtao Sun, Su Zhou and Ziping Huang, Proceeding of Seventh International Fuel Cell Science, Engineering and Technology Conference, 2009.

9. Fast numerical simulation of two-phase transport model in the cathode of a polymer electrolyte fuel cell, Pengtao Sun, Guangri Xue, Chaoyang Wang and Jinchao Xu, Commun. Comput. Phys., 6 (2009), 49-71.

10. Phase field model of thermo-induced Marangoni effects in the mixtures and its numerical simulations with mixed finite element method, Pengtao Sun, Chun Liu and Jinchao Xu, Commun. Comput. Phys., 6 (2009), 1095-1117.

11. A domain decomposition method for two-phase transport model in the cathode of a polymer electrolyte fuel cell. Pengtao Sun, Guangri Xue, Chaoyang Wang and Jinchao Xu, J. Comput. Phys. 228 (2009), 6016–6036.

12. New numerical techniques for a liquid feed 3D full direct methanol fuel cell model, Pengtao Sun, Guangri Xue, Chaoyang Wang and Jinchao Xu, SIAM J. Appl. Math. 70 (2009), 600-620.

13. A combined finite element-upwind finite volume-Newton's method for liquid feed direct methanol fuel cell simulations, Pengtao Sun, Guangri Xue, Chaoyang Wang and Jinchao Xu, Proceeding of Sixth International Fuel Cell Science, Engineering and Technology Conference, 2008, 851-864 .

14. A new adaptive local mesh refinement algorithm and its application on fourth order thin film flow problem, Pengtao Sun, Robert Russell and Jinchao Xu, J. Comput. Phys., 224 (2007), 1021-1048.

15. Optimal anisotropic meshes for minimizing interpolation errors in L^p-norm, Long Chen, Pengtao Sun and Jinchao Xu, Math. Comp. 76 (2007), 179-204.

16. A toy model for testing finite element methods to simulate extreme-mass-ratio binary systems, Carlos F. Sopuerta, Pengtao Sun, Pablo Laguna and Jinchao Xu, Class. Quantum Grav. 23 (2006), 251-285

17. Multilevel homotopic adaptive finite element methods for convection dominated problems, Long Chen, Pengtao Sun and Jinchao Xu, Lecture Notes in Computational Science and Engineering, Springer Berlin Heidelberg, 40 (2005), 459-468.

18. Technical analysis of pressure vessel analytical design software VAS2.0, Pengtao Sun, Process Equipment & Piping, 38 (2001), No.3, 54-57.

19. Thermal stress finite element analysis of heat-exchanging equipment, Pengtao Sun, Process Equipment & Piping, 38 (2001), No.6, 56-59

20. Solving parabolic problem by domain decomposition methods with Lagrangian multipliers, Qiya Hu, Pengtao Sun and Guoping Liang, Journal of Computational Mathematics, 22 (2000), 241-256.

21. Lagrangian multiplier based domain decomposition method with non-matching grids for time-dependent equations, Pengtao Sun, Hong Wei, High Performance Computing in the Asia-Pacific Region, 2000. Proceedings. The Fourth International Conference/Exhibition on Volume 2 (2000), 998 - 1000.

22. Trans-basinal fluid migration between fault-bound basins on the south China margin, Wang, C. Y., M. J. Wang, Pengtao Sun, G. P. Liang, and H. Cui, in Liu Baojun et al., eds., Proceedings of the 30th International Geological Congress, New York, Springer-Verlag, Vol. 8 (1997), 1-16.

23. Mixed Finite Elements for Parabolic Integro-Differential Equations, Pengtao Sun , Acta Mathematica Scientia, 17 (1997), 319-329.

24. The non-conforming Wilson finite element method for parabolic integro-differential equations, Pengtao Sun, Acta Mathematica Scientia No. S1 (1996), 57-65.

25. The F.E.M. for hyperbolic integro-differential equation and the application of Interpolated postprocessing technique, Pengtao Sun, Journal of Mathematica Applicata, 9 (1996), 433-440.

26. The interpolated postprocessing technique of the F.E.M. for nonlinear parabolic integro-differential equations, Pengtao Sun, Journal of Systems Science and Mathematical Sciences, 16 (1996), 159-171.

27. Elliptic-Volterra projection and the H²-Galerkin methods for the integro- differential equations of evolution, Pengtao Sun, Journal of Applied Mathematics, 10 (1995), 11-24.

28. Finite element method with moving mesh for nonlinear parabolic integro-differential equations, Pengtao Sun, Journal of Shandong University (Natural Science), 30 (1995), 227-235.

29. Effects of quadrature errors in finite element methods for nonlinear hyperbolic integro-differential equations, Pengtao Sun, Journal of Shandong University, 30 (1995), 43-51.

30. The analysis of approximation for F.E.M. for nonlinear hyperbolic integro- differential equations, Pengtao Sun, Journal of Engineering Mathematics, 11 (1994), 76-82.

31. Interpolated post-processing technique for convection and diffusion equation, Pengtao Sun, The Proceedings of the Sixth National Symposium on Numerical Methods for Fluid Dynamics, Jinan, China, 1993.