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Publications
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.
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.
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.
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.
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.
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.
Optimal anisotropic meshes for minimizing interpolation errors in Lp-norm,
Long Chen, Pengtao Sun and Jinchao Xu, Math. Comp. 76 (2007),
179-204.
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
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.
Technical analysis of pressure vessel analytical design software
VAS2.0,
Pengtao Sun, (in Chinese) Process Equipment & Piping, 38
(2001), No.3, 54-57.
Thermal stress finite element analysis of heat-exchanging equipment,
Pengtao Sun, (in Chinese) Process Equipment & Piping, 38
(2001), No.6, 56-59
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.
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.
The non-conforming finite element method for parabolic integro-differential
equations,
Pengtao Sun, Journal of Mathematics and Physics (1997), No.3.
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.
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.
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.
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.
Effects of quadrature errors in finite element methods for nonlinear
hyperbolic integro-differential equations,
Pengtao Sun, Journal of Shandong University, 30 (1995), 43-51.
The analysis of approximation for F.E.M. for nonlinear hyperbolic
integro- differential equations,
Pengtao Sun, Journal of Engineering Mathematics, 11 (1994), 76-82.
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.
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