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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:  LI LUO;  XIAO-CHUAN CAI;  ZHENGZHENG YAN;  LEI XU;  DAVID E. KEYES
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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 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:  Yi Jiang;  Rongliang Chen;  Xiao-Chuan Cai
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Domain Decomposition  Fiber-reinforced Hyperelasticity  Finite Element  Left Ventricle  Parallel Computing  
A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations Journal article
Journal of Computational and Applied Mathematics, 2020,Volume: 392
Authors:  Xiaomao Deng;  Zi-Ju Liao;  Xiao-Chuan Cai
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Domain Decomposition  Inverse Problems  Parallel Computing  Source Identification  
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:  Rongliang Chen;  Bokai Wu;  Zaiheng Cheng;  Wen-Shin Shiu;  Jia Liu;  Liping Liu;  Yongjun Wang;  Xinhong Wang;  Xiao-Chuan Cai
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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:  Xingding Chen;  Xiao-Chuan Cai
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Domain Decomposition,  Elastic Crack Problem,  Extended Finite Element Method,  Non-matching Grid  Two-level Preconditioners,  
A central-line coarse preconditioner for Stokes flows in artery-like domains Journal article
Numerical Algorithms, 2020
Authors:  Yingzhi Liu;  Xiao-Chuan Cai
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Blood Flow In Artery  Central-line Coarse Space  Finite Element  Multilevel Domain Decomposition  Stokes Problem  
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:  Li Luo;  Lulu Liu;  Xiao-Chuan Cai;  David E. Keyes
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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
Favorite |  | TC[WOS]:1 TC[Scopus]:4 | Submit date:2021/03/11
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  
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.
Favorite |  | TC[WOS]:0 TC[Scopus]:0 | Submit date:2019/02/11
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
Favorite |  | TC[WOS]:6 TC[Scopus]:5 | Submit date:2019/01/17
Stable Approximation  Wasserstein-1 Distance (W-1 Distance)  Stein's Method  L-1 Discrepancy  Normal Domain Of Attraction Of Stable Law  Alpha-stable Processes