Mingchao Cai

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 17

Top Topics

Error Estimates

Numerical Scheme

Iterative Process

Applied Mathematics

Top Venues

J. Comput. Appl. Math.

Comput. Math. Appl.

J. Sci. Comput.

Publications

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 (2024)
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 (2024)
Yuping Zeng, Liuqiang Zhong, Mingchao Cai, Feng Wang, Shangyou Zhang
Conforming and Nonconforming Virtual Element Methods for Signorini Problems. J. Sci. Comput. 100 (1) (2024)
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 (2024)
Meng Lei, Mingchao Cai, Feng Wang
An Unconditionally Stable Iterative Decoupled Algorithm for Multiple-Network Poroelasticity. CoRR (2023)
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) (2023)
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)
Huipeng Gu, Mingchao Cai, Jingzhi Li, Guoliang Ju
A priori error estimates of two fully discrete coupled schemes for Biot's consolidation model. CoRR (2022)
Feng Wang, Mingchao Cai, Gang Wang, Yuping Zeng
A mixed virtual element method for Biot's consolidation model. Comput. Math. Appl. 126 (2022)
Huipeng Gu, Mingchao Cai, Jingzhi Li
An Iterative Decoupled Algorithm with Unconditional Stability for Biot Model. CoRR (2022)
Huipeng Gu, Mingchao Cai, Jingzhi Li
An iterative decoupled algorithm with unconditional stability for Biot model. Math. Comput. 92 (341) (2022)
Mingchao Cai, Guoliang Ju, Jingzhi Li
Schur complement based preconditioners for twofold and block tridiagonal saddle point problems. CoRR (2021)
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 (2020)
Guoliang Jv, Mingchao Cai, Jingzhi Li, Jing Tian
Parameter-robust Multiphysics Algorithms for Biot Model with Application in Brain Edema Simulation. CoRR (2019)
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 (2019)
Mingchao Cai, Peiqi Huang, Mo Mu
Some multilevel decoupled algorithms for a mixed navier-stokes/darcy model. Adv. Comput. Math. 44 (1) (2018)
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) (2017)
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)
Mingchao Cai, Mo Mu
A multilevel decoupled method for a mixed Stokes/Darcy model. J. Comput. Appl. Math. 236 (9) (2012)
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) (2012)
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) (2009)
Mingchao Cai, Mo Mu, Jinchao Xu
Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications. J. Comput. Appl. Math. 233 (2) (2009)