Publications
Assistant Professor
hedongdong@cuhk.edu.cn
Research building A 212
Computational Fluid Mechanics, Numerical methods for Partial Differential Equations, Modeling and Scientific Computing
Applied and Computational Mathematics
https://myweb.cuhk.edu.cn/hedongdong
Mingyang Pan, Dongdong He*, Kejia Pan, Unconditionally energy stable method for solving eletrohytrodynamic system. Computer Methods in Applied Mechanics and Engineering. 361 (2020) 112817.
Dongdong He, Kejia Pan, Hongling Hu, A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation. Applied Numerical Mathematics. 151 (2020) 44--63.
Kejia Pan, Xianlin Jin, Dongdong He*, Pointwise error estimates of a linearized difference scheme for strongly coupled fractional Ginzburg-Landau equations. Mathematical Methods in the Applied Sciences. 43 (2020) 512--535.
Dongdong He, Kejia Pan, Xiaoqiang Yue, A positivity preserving and free energy dissipative difference scheme for the Poisson-Nernst-Planck system. Journal of Scientific Computing. 81 (2019) 436-458.
Wentao Cai, Dongdong He*, Kejia Pan, A linearized energy-conservative finite element method for the nonlinear Schrodinger equation with wave operator. Applied Numerical Mathematics. 140 (2019) 183-198.
Dongdong He, Kejia Pan, Maximum norm error analysis of an unconditionally stable semi-implici scheme for multi-dimensional Allen-Cahn equations. Numerical Methods for Partial Differential Equations 35 (2019) 955-975.
Buyun Chen, Dongdong He*, Kejia Pan, An unconditionally stable CCD-ADI method for a twodimensional linear hyperbolic equation with variable coefficients. International Journal of Computer Mathematics, 96 (2019) 992-1004.
Yunqiao Liu, Dongdong He, Xiaobo Gong, Huaxong Huang, Deformation of an encapsulated bubblein steady and oscillatory electric fields. Journal of Fluid Mechanics. 844 (2018) 567-596. (Top 1 Journal in Fluid Mechanics)
Dongdong He, Kejia Pan, An unconditionally stable linearized difference scheme for the fractiona Ginzburg-Landau equation. Numerical Algorithms,79 (2018) 899-925.
Buyun Chen, Dongdong He*, Kejia Pan, A linearized high-order combined compact finite differenc method for solving multi-dimensional coupled Burgers’ equations. Numerical Mathematics-Theory, Methods and Applications, 11 (2018) 299-320.
Dongdong He, Kejia Pan, A high-order combined compact finite difference method for the Stokes flo on the polar geometries. East Asian Journal on Applied Mathematics, 7 (2017) 714-727.
Hongling Hu, Zhengyong Ren, Dongdong He, Kejia Pan, On the convergence of an extrapolation cascadic multigrid method for elliptic problems. Computers & Mathematics with Applications, 74 (2017) 759-771
Kejia Pan, Dongdong He, Hongling Hu, Zhengyong Ren, A new extrapolation cascadic multigrid method for three dimensional elliptic boundary value problems. Journal of Computational Physics, 344 (2017) 499-515. (Top journal in computational fluid mechanics and computational physics)
Dongdong He, Kejia Pan, An unconditionally stable linearized CCD-ADI method for generalize nonlinear Schr¨odinger equations with variable coefficients in two and three dimensions. Computers & Mathematics with Applications, 73 (2017) 2360-2374.
Huadong Gao, Dongdong He*, Linearized Conservative Finite Element Methods for the Nernst-Planck-Poisson Equations. Journal of Scientific Computing, 72 (2017) 1269-1289.
Kejia Pan, Dongdong He*, Chuanmiao Chen, An extrapolation cascadic multigrid method for elliptic problems on reentrant domains. Advances in Applied Mathematics and Mechanics, 9 (2017) 1347- 1363.
Kejia Pan, Dongdong He*, Hongling Hu, An extrapolation cascadic multigrid method combined with a fourth order compact scheme for 3D poisson equation. Journal of Scientific Computing, 70 (2017) 1180-1203.
Dongdong He and Huaxiong Huang, A contact line dynamic model for a conducting water drop on an electrowetting device. Communications in Computational Physics, 20 (2016) 811-834.
Dongdong He, Jonathan J. Wylie, Huaxiong Huang and Robert M. Miura, Extension of a viscou thread with temperature-dependent viscosity and surface tension. Journal of Fluid Mechanics, 800 (2016) 720-752. (Top 1 Journal in Fluid Mechanics)
Dongdong He, An unconditionally stable spatial sixth order CCD-ADI method for the two dimensiona linear hyperbolic equation. Numerical Algorithms, 72 (2016) 1103-1117.
Dongdong He and Kejia Pan, An energy preserving finite difference scheme for the Poisson-Nernst-Planck system. Applied Mathematics and Computation, 287-288(5) (2016) 214-223.
Dongdong He, On the L1-norm convergence of a three-level linearly implicit finite difference metho for the extended Fisher-Kolmogorov equation in both 1D and 2D. Computers & Mathematics with Applications 71 (12) (2016) 2594-2607
Dongdong He, Exact solitary solution and a three-level linearly implicit conservative finite differenc method for the generalized Rosenau-Kawahara-RLW equation with generalized Novikov type perturbation. Nonlinear Dynamics, 85 (2016) 479-498.
Dongdong He and Kejia Pan, A linearly implicit conservative difference scheme for the generalizedRosenau-Kawahara-RLW equation. Applied Mathematics and Computation, 271 (2015), 323-336.
Dongdong He, New solitary solutions and a conservative numerical method for the Rosenau-Kawahar equation with power law nonlinearity. Nonlinear Dynamics, 82 (2015), 1177-1190.
Dongdong He and Kejia Pan, An order optimal regularization method for the Cauchy problem of a Laplace equation in an annulus domain. Applied Mathematical Modelling, 39 (10-11) (2015) 3063-3074.
Xiangsheng Wang, Dongdong He, Jonathan J. Wylie, Huaxiong Huang, Singular perturbation solutionsof steady-state Poisson-Nernst-Planck systems, Physical Review E, 89, 022722, 2014.
Joshua C. Chang, K.C. Brennan, Dongdong He, Huaxiong Huang, Robert M. Miura, Phillip L. Wilson, Jonathan J. Wylie, A mathematical model of the metabolic and perfusion effects on cortical spreading depression. PLoS One 8(8): e70469. (2013) doi:10.1371/journal.pone.0070469.
Dongdong He and Huaxiong Huang, A constrained level set method for simulating the formation of liqui bridges. Communications in Computational Physics, 2 (2012) 577-594.
Dongdong He, Huaxiong Huang and Youngji Tan, Numerical simulation for a droplet fission process of electrowetting on dielectric device. Communications in Computational Physics, 7 (2010) 1076-1094.