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A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations Journal article
Journal of Computational and Applied Mathematics, 2021,Volume: 392
Authors:  Deng,Xiaomao;  Liao,Zi Ju;  Cai,Xiao Chuan
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2021/03/09
Domain decomposition  Inverse problems  Parallel computing  Source identification  
A highly parallel implicit domain decomposition method for the simulation of the left ventricle on unstructured meshes Journal article
Computational Mechanics, 2020,Volume: 66,Issue: 6,Page: 1461-1475
Authors:  Jiang,Yi;  Chen,Rongliang;  Cai,Xiao Chuan
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Domain decomposition  Fiber-reinforced hyperelasticity  Finite element  Left ventricle  Parallel computing  
A parallel non-nested two-level domain decomposition method for simulating blood flows in cerebral artery of stroke patient Journal article
International Journal for Numerical Methods in Biomedical Engineering, 2020,Volume: 36,Issue: 11
Authors:  Chen,Rongliang;  Wu,Bokai;  Cheng,Zaiheng;  Shiu,Wen Shin;  Liu,Jia;  Liu,Liping;  Wang,Yongjun;  Wang,Xinhong;  Cai,Xiao Chuan
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domain decomposition method  finite element on unstructured meshes  full cerebral artery with stenosis  fully implicit method  non-nested coarse space  parallel processing  
Effective Two-Level Domain Decomposition Preconditioners for Elastic Crack Problems Modeled by Extended Finite Element Method Journal article
Communications in Computational Physics, 2020,Volume: 28,Issue: 4,Page: 1561-1584
Authors:  Chen,Xingding;  Cai,Xiao Chuan
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Domain decomposition,  Elastic crack problem,  Extended finite element method,  Non-matching grid  Two-level preconditioners,  
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids Journal article
Journal of Computational Physics, 2020,Volume: 409
Authors:  Luo,Li;  Liu,Lulu;  Cai,Xiao Chuan;  Keyes,David E.
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Discontinuous Galerkin  Inexact Newton  Parallel scalability  Two-level domain decomposition  Two-phase flow in porous media  Unstructured grid  
Two-dimensional frequency-domain system identification Journal article
IEEE Transactions on Automatic Control, 2020,Volume: 65,Issue: 2,Page: 577-590
Authors:  Wang,Xiaoyin;  Qian,Tao;  Leong,Iengtak;  Gao,You
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Generalized partial backward shift operator  matching pursuit  modified maximal selection principle  multidimensional rational approximation  product-Szegö dictionary  product-TM system  two-dimensional (2-D) system identification  
A multilayer nonlinear elimination preconditioned inexact Newton method for steady-state incompressible flow problems in three dimensions Journal article
SIAM Journal on Scientific Computing, 2020,Volume: 42,Issue: 6,Page: B1404-B1428
Authors:  Luo,Li;  Cai,Xiao Chuan;  Yan,Zhengzheng;  Xu,Lei;  Keyes,David E.
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Domain decomposition  Inexact newton  Lid-driven cavity flow at high reynolds numbers  Multilayer preconditioning  Parallel processing  Steady-state incompressible flow  
A central-line coarse preconditioner for Stokes flows in artery-like domains Journal article
Numerical Algorithms, 2020
Authors:  Liu,Yingzhi;  Cai,Xiao Chuan
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Blood flow in artery  Central-line coarse space  Finite element  Multilevel domain decomposition  Stokes problem  
Hardy space decompositions of Lp(ℝn) for 0 < p < 1 with rational approximation Journal article
Complex Variables and Elliptic Equations, 2019,Volume: 64,Issue: 4,Page: 606-630
Authors:  Deng G.-T.;  Li H.-C.;  Qian T.
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decomposition  Hardy spaces on tube domain  rational approximation  
Approximation of stable law in Wasserstein-1 distance by Stein’s method Journal article
ANNALS OF APPLIED PROBABILITY, 2019,Volume: 29,Issue: 1,Page: 458-504
Authors:  Xu, Lihu
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Stable Approximation  Wasserstein-1 Distance (W-1 Distance)  Stein's Method  L-1 Discrepancy  Normal Domain Of Attraction Of Stable Law  Alpha-stable Processes