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A highly parallel algorithm for simulating the elastodynamics of a patient-specific human heart with four chambers using a heterogeneous hyperelastic model Journal article
Jiang, Yi, Yan, Zhengzheng, Wang, Xinhong, Chen, Rongliang, Cai, Xiao Chuan. A highly parallel algorithm for simulating the elastodynamics of a patient-specific human heart with four chambers using a heterogeneous hyperelastic model[J]. Journal of Computational Physics, 2024, 508, 113027.
Authors:  Jiang, Yi;  Yan, Zhengzheng;  Wang, Xinhong;  Chen, Rongliang;  Cai, Xiao Chuan
Favorite | TC[WOS]:0 TC[Scopus]:1  IF:3.8/4.5 | Submit date：2024/05/16
Domain Decomposition  Finite Element  Fully Implicit Method  Human Heart  Hyperelasticity Model  Parallel Computing  
Domain decomposed classification algorithms based on linear discriminant analysis: An optimality theory and applications Journal article
Li, Jingwei, Cai, Xiao Chuan. Domain decomposed classification algorithms based on linear discriminant analysis: An optimality theory and applications[J]. Neurocomputing, 2024, 575, 127261.
Authors:  Li, Jingwei;  Cai, Xiao Chuan
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:5.5/5.5 | Submit date：2024/04/02
Deflation  Domain Decomposition  Iterative Methods  Linear Discriminant Analysis  Optimality Theory  
A-stable high-order block implicit methods for parabolic equations Journal article
Li, Shishun, Wang, Jing Yuan, Cai, Xiao Chuan. A-stable high-order block implicit methods for parabolic equations[J]. SIAM Journal on Numerical Analysis, 2023, 61(4), 1858-1884.
Authors:  Li, Shishun;  Wang, Jing Yuan;  Cai, Xiao Chuan
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:2.8/3.5 | Submit date：2024/02/22
A-stability  Block Implicit Method  Domain Decomposition Preconditioner  Finite Element  Parabolic Problems  
Two-level additive Schwarz methods for three-dimensional unsteady Stokes flows in patient-specific arteries with parameterized one-dimensional central-line coarse preconditioner Journal article
Liu,Yingzhi, Cai,Xiao Chuan. Two-level additive Schwarz methods for three-dimensional unsteady Stokes flows in patient-specific arteries with parameterized one-dimensional central-line coarse preconditioner[J]. Journal of Computational Physics, 2023, 490, 112290.
Authors:  Liu,Yingzhi;  Cai,Xiao Chuan
Favorite | TC[WOS]:2 TC[Scopus]:2  IF:3.8/4.5 | Submit date：2023/08/03
Blood Flow In Artery  Finite Element Method  Multilevel Domain Decomposition  Parameterized Central-line Coarse Space  Unsteady Stokes Problem  
An Interactive Platform for a High Performance Digital Twin of a Human Heart Conference paper
Yujie Gong, Fenfen Qi, Yingzhi Liu, Jing-Yuan Wang, Tianhao Ma, Zaiheng Cheng, Yi Jiang, Rongliang Chen, Xinhong Wang, Li Luo, Xiao-Chuan Cai. An Interactive Platform for a High Performance Digital Twin of a Human Heart[C]. IEEE, IEEE Computer Society's Technical Community on the Internet (TCI), Kanazawa University:IEEE, 2023, 193-200.
Authors:  Yujie Gong;  Fenfen Qi;  Yingzhi Liu;  Jing-Yuan Wang;  Tianhao Ma; et al.
Adobe PDF | Favorite | TC[Scopus]:1 | Submit date：2023/08/14
Interactive Hologram  Digital Twin  Hyperelasticity Model Of The Heart  Finite Element  Domain Decomposition  Parallel Processing  
Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains Journal article
Wu, Hio Tong, Leong, Ieng Tak, Qian, Tao. Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains[J]. Complex Variables and Elliptic Equations, 2023, 68(4), 568 - 577.
Authors:  Wu, Hio Tong;  Leong, Ieng Tak;  Qian, Tao
Favorite | TC[WOS]:1 TC[Scopus]:1  IF:0.6/0.7 | Submit date：2022/05/13
Bergman Kernel  Bergman Space  Boundary Vanishing Property  Pseudoconvex Domain  Weak Maximal Selection Principle  Weak Pre-orthogonal Adaptive Fourier Decomposition  
A highly parallel fully implicit domain decomposition method for the simulation of the hemodynamics of a patient-specific artery at the full-body scale Journal article
Qin, Shanlin, Chen, Rongliang, Wu, Bokai, Cai, Xiao Chuan. A highly parallel fully implicit domain decomposition method for the simulation of the hemodynamics of a patient-specific artery at the full-body scale[J]. Journal of Computational Physics, 2023, 472.
Authors:  Qin, Shanlin;  Chen, Rongliang;  Wu, Bokai;  Cai, Xiao Chuan
Favorite | TC[WOS]:1 TC[Scopus]:3  IF:3.8/4.5 | Submit date：2023/02/08
Blood Flow Distribution  Domain Decomposition Method  Finite Element Method  Incompressible Navier-stokes Equations  Parallel Computing  Patient-specific-full-body Artery  
NEW OPTIMIZED ROBIN−ROBIN DOMAIN DECOMPOSITION METHODS USING KRYLOV SOLVERS FOR THE STOKES−DARCY SYSTEM Journal article
Liu, Yingzhi, Boubendir, Yassine, He, Xiaoming, He, Yinnian. NEW OPTIMIZED ROBIN−ROBIN DOMAIN DECOMPOSITION METHODS USING KRYLOV SOLVERS FOR THE STOKES−DARCY SYSTEM[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 44(4), B1068--B1095.
Authors:  Liu, Yingzhi;  Boubendir, Yassine;  He, Xiaoming;  He, Yinnian
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:3.0/3.2 | Submit date：2023/01/30
Domain Decomposition Methods  Krylov Solvers  Modal Analysis  Optimized Schwarz Methods  Robin Interface Conditions  Stokes−darcy System  
An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems Journal article
Deng, Xiaomao, Liao, Zi Ju, Cai, Xiao Chuan. An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 111, 98-108.
Authors:  Deng, Xiaomao;  Liao, Zi Ju;  Cai, Xiao Chuan
Favorite | TC[WOS]:3 TC[Scopus]:4  IF:2.9/2.6 | Submit date：2022/05/04
Domain Decomposition  Inverse Problems  Parallel Computing  Source Identification  
A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM Journal article
Chen, Xingding, Cai, Xiao Chuan. A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM[J]. Journal of Computational Physics, 2022, 452(110910).
Authors:  Chen, Xingding;  Cai, Xiao Chuan
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:3.8/4.5 | Submit date：2022/03/28
Extended Finite Element Method  Domain Decomposition Preconditioners  Sequence Of Linear Systems  Crack Propagation  Auxiliary Tip Subspace