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Mingchao Cai
Mingchao Cai
Prof, Dept Math, Morgan State University
Verified email at morgan.edu - Homepage
Title
Cited by
Year
A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time
J Tian, M Cai, Z Luo, Y You, G Chen
Communications in Nonlinear Science and Numerical Simulation 78, 104876, 2019
32019
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems
Fangfang Qin, Jinru Chen, Zhilin Li, Mingchao Cai
Computers & Mathematics with Applications 73 (3), 404–418, 2016
13*2016
A Combination of Physics-Informed Neural Networks with the Fixed-Stress Splitting Iteration for Solving Biot's Model
M Cai, H Gu, P Hong, J Li
Frontiers in Applied Mathematics and Statistics 9, 1206500, 2023
2023
A COUPLED METHOD COMBINING CROUZEIX-RAVIART NONCONFORMING AND NODE CONFORMING FINITE ELEMENT SPACES FOR BIOT CONSOLIDATION MODEL
Y Zeng, M Cai, L Zhong
Journal of Computational Mathematics 42 (4), 911-931, 2024
2024
A Framework to Assess Human Coronary Plaque Vulnerability Using Intravascular Ultrasound, On-Site Pressure, Angiography, and Anisotropic FSI Models
H Liu, M Cai, C Yang, J Zheng, R Bach, M Kural, K Billiar, D Muccigrosso, ...
Summer Bioengineering Conference 44809, 909-910, 2012
2012
A generalization of T. Chan’s preconditioner
MC Cai, XQ Jin, YM Wei
Linear algebra and its applications 407, 11-18, 2005
142005
A Global-in-Time Iterative Decoupled Algorithm with a Parallel Stokes Subsolver for Biot's Model
H Gu, M Cai, J Li
Available at SSRN 4627722, 0
A mixed and nonconforming FEM with nonmatching meshes for a coupled Stokes-Darcy model
P Huang, J Chen, M Cai
Journal of Scientific Computing 53, 377-394, 2012
222012
A mixed virtual element method for Biot's consolidation model
YZ Feng Wang, Mingchao Cai, Gang Wang
Computers & Mathematics with Applications 126, 31-42, 2022
42022
A mortar method using nonconforming and mixed finite elements for the coupled Stokes-Darcy model
P Huang, J Chen, M Cai
Advances in Applied Mathematics and Mechanics 9 (3), 596-620, 2017
22017
A multilevel decoupled method for a mixed Stokes/Darcy model
M Cai, M Mu
Journal of Computational and Applied Mathematics, 2011
612011
A multirate approach for fluid-structure interaction computation with decoupled methods
L Zhang, M Cai, M Mu
arXiv preprint arXiv:1810.11933, 2018
62018
A Newton type linearization based two grid method for coupling fluid flow with porous media flow
P Huang, M Cai, F Wang
Applied Numerical Mathematics 106, 182-198, 2016
142016
A note on T. Chan’s preconditioner
MC Cai, XQ Jin
Linear algebra and its applications 376, 283-290, 2004
132004
A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach
Y Zeng, L Zhong, F Wang, S Zhang, M Cai
Journal of Computational and Applied Mathematics 445, 115819, 2024
2024
A priori error estimates of two fully discrete coupled schemes for Biot's consolidation model
H Gu, M Cai, J Li, G Ju
Numer. Methods Partial Differ. Eq., 2023
2023
A priori error estimates of two monolithic schemes for Biot's consolidation model
H Gu, M Cai, J Li, G Ju
Numerical Methods for Partial Differential Equations 40 (1), e23059, 2024
12024
Acknowledgement to Reviewers of Fluids in 2017
BE Abali, R Abramov, S Afkhami, L Alain, GA Anderson, F Anselmet, ...
An H (div)-conforming finite element method for Biot’s consolidation model
Y Zeng, M Cai, F Wang
East Asian journal on applied mathematics 9 (3), 558, 2019
62019
An iterative decoupled algorithm with unconditional stability for Biot model
H Gu, M Cai, J Li
Mathematics of Computation 92 (341), 1087-1108, 2023
42023
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