Publications

1. 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.

2. New numerical techniques for a liquid feed 3D full direct methanol fuel cell model, Pengtao Sun, Guangri Xue, Chaoyang Wang and Jinchao Xu, SIAM Appl. Math. (submitted), 2008.

3. 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. (submitted), 2007.

4. New numerical techniques for 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. (accepted), 2007.

5. Adaptive finite element-phase field method on thermo-induced Marangoni effects in the mixtures, Chun Liu, Pengtao Sun and Jinchao Xu, (to be submitted), 2007.

6. 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.

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

8. 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

9. Multilevel homotopic adaptive finite element methods for convection dominated problems, Long Chen, Pengtao Sun and Jinchao Xu, The Proceedings for 15th Conferences for Domain Decomposition Methods (2004), 459-468.

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

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

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

13. 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.

14. The non-conforming finite element method for parabolic integro-differential equations, Pengtao Sun, Journal of Mathematics and Physics (1997), No.3.

15. 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.

16. 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.

17. 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.

18. 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.

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

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

21. 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.