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Xiaoming He
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Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions
X He, T Lin, Y Lin
International Journal of Numerical Analysis and Modeling. 8 (2), 284-301, 2011
1842011
Approximation capability of a bilinear immersed finite element space
X He, T Lin, Y Lin
Numerical Methods for Partial Differential Equations: An International …, 2008
1442008
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems
Y Cao, M Gunzburger, X He, X Wang
Mathematics of Computation 83 (288), 1617-1644, 2014
1402014
Robin–Robin domain decomposition methods for the steady-state Stokes–Darcy system with the Beavers–Joseph interface condition
Y Cao, M Gunzburger, X He, X Wang
Numerische Mathematik 117 (4), 601-629, 2011
1292011
Immersed finite element methods for parabolic equations with moving interface
X He, T Lin, Y Lin, X Zhang
Numerical Methods for Partial Differential Equations 29 (2), 619-646, 2013
1062013
Three dimensional phase-field investigation of droplet formation in microfluidic flow focusing devices with experimental validation
F Bai, X He, X Yang, R Zhou, C Wang
International Journal of Multiphase Flow 93, 130-141, 2017
1042017
A domain decomposition method for the steady-state Navier--Stokes--Darcy model with Beavers--Joseph interface condition
X He, J Li, Y Lin, J Ming
SIAM Journal on Scientific Computing 37 (5), S264-S290, 2015
1042015
Linear, second order and unconditionally energy stable schemes for the viscous Cahn–Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
X Yang, J Zhao, X He
Journal of Computational and Applied Mathematics 343, 80-97, 2018
852018
Decoupled, linear, and energy stable finite element method for the Cahn--Hilliard--Navier--Stokes--Darcy phase field model
Y Gao, X He, L Mei, X Yang
SIAM Journal on Scientific Computing 40 (1), B110-B137, 2018
852018
Modeling electrostatic levitation of dust particles on lunar surface
J Wang, X He, Y Cao
IEEE Transactions on Plasma Science 36 (5), 2459-2466, 2008
792008
Improved numerical simulation for shale gas reservoirs
C Guo, M Wei, H Chen, X He, B Bai
Offshore Technology Conference Asia, OTC-24913-MS, 2014
782014
The convergence of the bilinear and linear immersed finite element solutions to interface problems
X He, T Lin, Y Lin
Numerical Methods for Partial Differential Equations 28 (1), 312-330, 2012
732012
Bilinear immersed finite elements for interface problems
X He
Virginia Tech, 2009
642009
A dual-porosity-Stokes model and finite element method for coupling dual-porosity flow and free flow
J Hou, M Qiu, X He, C Guo, M Wei, B Bai
SIAM Journal on Scientific Computing 38 (5), B710-B739, 2016
632016
Non-iterative domain decomposition methods for a non-stationary Stokes–Darcy model with Beavers–Joseph interface condition
W Feng, X He, Z Wang, X Zhang
Applied Mathematics and Computation 219 (2), 453-463, 2012
622012
A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient
XM He, T Lin, Y Lin
Communications in Computational Physics 6 (1), 185-202, 2009
602009
A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma–lunar surface interactions
D Han, P Wang, X He, T Lin, J Wang
Journal of Computational Physics 321, 965-980, 2016
592016
Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient
X He, T Lin, Y Lin
Journal of Systems Science and Complexity 23 (3), 467-483, 2010
482010
On Stokes--Ritz projection and multistep backward differentiation schemes in decoupling the Stokes--Darcy model
M Gunzburger, X He, B Li
SIAM Journal on Numerical Analysis 56 (1), 397-427, 2018
462018
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition
C Qiu, X He, J Li, Y Lin
Journal of Computational Physics 411, 109400, 2020
432020
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