Preconditioning techniques for a mixed Stokes/Darcy model in porous media applications. - Mingchao Cai; Mo Mu; Jinchao Xu (J. Comput. Appl. Math., 2009)

Numerical Solution to a Mixed Navier-Stokes/Darcy Model by the Two-Grid Approach. - Mingchao Cai; Mo Mu; Jinchao Xu (SIAM J. Numer. Anal., 2009)

A multilevel decoupled method for a mixed Stokes/Darcy model. - Mingchao Cai; Mo Mu (J. Comput. Appl. Math., 2012)

A Mixed and Nonconforming FEM with Nonmatching Meshes for a Coupled Stokes-Darcy Model. - Peiqi Huang; Jinru Chen; Mingchao Cai (J. Sci. Comput., 2012)

Overlapping Schwarz Methods with a Standard Coarse Space for Almost Incompressible Linear Elasticity. - Mingchao Cai; Luca F. Pavarino; Olof B. Widlund (SIAM J. Sci. Comput., 2015)

A Cartesian grid nonconforming immersed finite element method for planar elasticity interface problems. - Fangfang Qin; Jinru Chen; Zhilin Li 002; Mingchao Cai (Comput. Math. Appl., 2017)

Some multilevel decoupled algorithms for a mixed navier-stokes/darcy model. - Mingchao Cai; Peiqi Huang; Mo Mu (Adv. Comput. Math., 2018)

A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time. - Jing Tian; Mingchao Cai; Zhendong Luo; Yuncheng You; Goong Chen (Commun. Nonlinear Sci. Numer. Simul., 2019)

Parameter-robust Multiphysics Algorithms for Biot Model with Application in Brain Edema Simulation. - Guoliang Jv; Mingchao Cai; Jingzhi Li 001; Jing Tian (CoRR, 2019)

Parameter-robust multiphysics algorithms for Biot model with application in brain edema simulation. - Guoliang Ju; Mingchao Cai; Jingzhi Li 001; Jing Tian (Math. Comput. Simul., 2020)

Schur complement based preconditioners for twofold and block tridiagonal saddle point problems. - Mingchao Cai; Guoliang Ju; Jingzhi Li 001 (CoRR, 2021)

A mixed virtual element method for Biot's consolidation model. - Feng Wang; Mingchao Cai; Gang Wang; Yuping Zeng (Comput. Math. Appl., 2022)

A priori error estimates of two fully discrete coupled schemes for Biot's consolidation model. - Huipeng Gu; Mingchao Cai; Jingzhi Li 001; Guoliang Ju (CoRR, 2022)

An iterative decoupled algorithm with unconditional stability for Biot model. - Huipeng Gu; Mingchao Cai; Jingzhi Li 001 (Math. Comput., 2022)

An Unconditionally Stable Iterative Decoupled Algorithm for Multiple-Network Poroelasticity. - Meng Lei; Mingchao Cai; Feng Wang (CoRR, 2023)

A combination of physics-informed neural networks with the fixed-stress splitting iteration for solving Biot's model. - Mingchao Cai; Huipeng Gu; Pengxiang Hong; Jingzhi Li 001 (Frontiers Appl. Math. Stat., 2023)

Some Optimally Convergent Algorithms for Decoupling the Computation of Biot's Model. - Mingchao Cai; Huipeng Gu; Jingzhi Li 001; Mo Mu (J. Sci. Comput., 2023)

Crank-Nicolson-type iterative decoupled algorithms for Biot's consolidation model using total pressure. - Huipeng Gu; Mingchao Cai; Jingzhi Li 001 (CoRR, 2024)

Low regularity error analysis for an H(div)-conforming discontinuous Galerkin approximation of Stokes problem. - Yuping Zeng; Liuqiang Zhong; Feng Wang; Mingchao Cai; Shangyou Zhang (J. Comput. Appl. Math., 2024)

A pressure-robust numerical scheme for the Stokes equations based on the WOPSIP DG approach. - Yuping Zeng; Liuqiang Zhong; Feng Wang; Shangyou Zhang; Mingchao Cai (J. Comput. Appl. Math., 2024)

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]. - Yuping Zeng; Liuqiang Zhong; Feng Wang; Shangyou Zhang; Mingchao Cai (J. Comput. Appl. Math., 2024)

Conforming and Nonconforming Virtual Element Methods for Signorini Problems. - Yuping Zeng; Liuqiang Zhong; Mingchao Cai; Feng Wang; Shangyou Zhang (J. Sci. Comput., 2024)

An optimally convergent parallel splitting algorithm for the multiple-network poroelasticity model. - Jijing Zhao; Huangxin Chen; Mingchao Cai; Shuyu Sun 003 (J. Comput. Phys., 2025)

Parameter-Robust Preconditioners for A Four-Field Thermo-Poroelasticity Model. - Mingchao Cai; Miroslav Kuchta; Jingzhi Li; Ziliang Li; Kent-André Mardal (CoRR, 2025)

Efficient Iterative Decoupling Methods for Thermo-Poroelasticity Based on a Four-Field Formulation. - Mingchao Cai; Jingzhi Li; Ziliang Li; Qiang Liu (CoRR, 2025)

An Optimally Convergent Split Parallel Algorithm for the Multiple-Network Poroelasticity Model. - Jijing Zhao; Huangxin Chen; Mingchao Cai; Shuyu Sun 003 (CoRR, 2025)

DAE-KAN: A Kolmogorov-Arnold Network Model for High-Index Differential-Algebraic Equations. - Kai Luo; Juan Tang; Mingchao Cai; Xiaoqing Zeng; Manqi Xie; Ming Yan (CoRR, 2025)

POD-based reduced order modeling of global-in-time iterative decoupled algorithms for Biot's consolidation model. - Huipeng Gu; Francesco Ballarin; Mingchao Cai; Jingzhi Li 001 (CoRR, 2025)

Some semi-decoupled algorithms with optimal convergence for a four-field linear thermo-poroelastic model. - Ziliang Li; Mingchao Cai; Jingzhi Li; Qiang Liu (CoRR, 2025)