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2020 – today
- 2024
[j17]Yuping Zeng, Liuqiang Zhong
, Feng Wang, Shangyou Zhang, Mingchao Cai:
A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach. J. Comput. Appl. Math. 445: 115819 (2024)- [j16]Yuping Zeng, Liuqiang Zhong, Feng Wang, Shangyou Zhang, Mingchao Cai:
Corrigendum to "A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach" [Journal of Computational and Applied Mathematics 445 (2024) 115819]. J. Comput. Appl. Math. 447: 115892 (2024) - [j15]Yuping Zeng, Liuqiang Zhong, Feng Wang, Mingchao Cai, Shangyou Zhang:
Low regularity error analysis for an H(div)-conforming discontinuous Galerkin approximation of Stokes problem. J. Comput. Appl. Math. 451: 116118 (2024) - [j14]Yuping Zeng, Liuqiang Zhong, Mingchao Cai, Feng Wang, Shangyou Zhang:
Conforming and Nonconforming Virtual Element Methods for Signorini Problems. J. Sci. Comput. 100(1): 18 (2024) - [i6]Huipeng Gu, Mingchao Cai, Jingzhi Li:
Crank-Nicolson-type iterative decoupled algorithms for Biot's consolidation model using total pressure. CoRR abs/2409.18391 (2024) - 2023
- [j13]Mingchao Cai, Huipeng Gu, Pengxiang Hong, Jingzhi Li:
A combination of physics-informed neural networks with the fixed-stress splitting iteration for solving Biot's model. Frontiers Appl. Math. Stat. 9 (2023) - [j12]Mingchao Cai, Huipeng Gu, Jingzhi Li, Mo Mu:
Some Optimally Convergent Algorithms for Decoupling the Computation of Biot's Model. J. Sci. Comput. 97(2): 48 (2023) - [i5]Meng Lei, Mingchao Cai, Feng Wang:
An Unconditionally Stable Iterative Decoupled Algorithm for Multiple-Network Poroelasticity. CoRR abs/2310.15457 (2023) - 2022
- [j11]Feng Wang, Mingchao Cai, Gang Wang, Yuping Zeng:
A mixed virtual element method for Biot's consolidation model. Comput. Math. Appl. 126: 31-42 (2022) - [j10]Huipeng Gu, Mingchao Cai, Jingzhi Li:
An iterative decoupled algorithm with unconditional stability for Biot model. Math. Comput. 92(341): 1087-1108 (2022) - [i4]Huipeng Gu, Mingchao Cai, Jingzhi Li:
An Iterative Decoupled Algorithm with Unconditional Stability for Biot Model. CoRR abs/2204.08403 (2022) - [i3]Huipeng Gu, Mingchao Cai, Jingzhi Li, Guoliang Ju:
A priori error estimates of two fully discrete coupled schemes for Biot's consolidation model. CoRR abs/2211.10758 (2022) - 2021
- [i2]Mingchao Cai, Guoliang Ju, Jingzhi Li:
Schur complement based preconditioners for twofold and block tridiagonal saddle point problems. CoRR abs/2108.08332 (2021) - 2020
- [j9]Guoliang Ju, Mingchao Cai, Jingzhi Li, Jing Tian:
Parameter-robust multiphysics algorithms for Biot model with application in brain edema simulation. Math. Comput. Simul. 177: 385-403 (2020)
2010 – 2019
- 2019
- [j8]Jing Tian, Mingchao Cai, Zhendong Luo, Yuncheng You, Goong Chen:
A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time. Commun. Nonlinear Sci. Numer. Simul. 78: 104876 (2019) - [i1]Guoliang Jv, Mingchao Cai, Jingzhi Li, Jing Tian:
Parameter-robust Multiphysics Algorithms for Biot Model with Application in Brain Edema Simulation. CoRR abs/1906.08802 (2019) - 2018
- [j7]Mingchao Cai, Peiqi Huang, Mo Mu:
Some multilevel decoupled algorithms for a mixed navier-stokes/darcy model. Adv. Comput. Math. 44(1): 115-145 (2018) - 2017
- [j6]Fangfang Qin, Jinru Chen, Zhilin Li, Mingchao Cai:
A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems. Comput. Math. Appl. 73(3): 404-418 (2017) - 2015
- [j5]Mingchao Cai, Luca F. Pavarino, Olof B. Widlund:
Overlapping Schwarz Methods with a Standard Coarse Space for Almost Incompressible Linear Elasticity. SIAM J. Sci. Comput. 37(2) (2015) - 2012
- [j4]Mingchao Cai, Mo Mu:
A multilevel decoupled method for a mixed Stokes/Darcy model. J. Comput. Appl. Math. 236(9): 2452-2465 (2012) - [j3]Peiqi Huang, Jinru Chen, Mingchao Cai:
A Mixed and Nonconforming FEM with Nonmatching Meshes for a Coupled Stokes-Darcy Model. J. Sci. Comput. 53(2): 377-394 (2012)
2000 – 2009
- 2009
- [j2]Mingchao Cai, Mo Mu, Jinchao Xu:
Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications. J. Comput. Appl. Math. 233(2): 346-355 (2009) - [j1]Mingchao Cai, Mo Mu, Jinchao Xu:
Numerical Solution to a Mixed Navier-Stokes/Darcy Model by the Two-Grid Approach. SIAM J. Numer. Anal. 47(5): 3325-3338 (2009)
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