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2020 – today
- 2024
[j73]Jingwei Li, Xiao-Chuan Cai
:
Domain decomposed classification algorithms based on linear discriminant analysis: An optimality theory and applications. Neurocomputing 575: 127261 (2024)- [j72]Yi Jiang, Zhengzheng Yan, Xinhong Wang, Rongliang Chen, Xiao-Chuan Cai:
A highly parallel algorithm for simulating the elastodynamics of a patient-specific human heart with four chambers using a heterogeneous hyperelastic model. J. Comput. Phys. 508: 113027 (2024) - [j71]Yingzhi Liu, Fenfen Qi, Xiao-Chuan Cai:
A One-Dimensional Coarse Preconditioner for Three-Dimensional Unsteady Incompressible Navier-Stokes Flows in Patient-Specific Arteries. SIAM J. Sci. Comput. 46(2): S1-S23 (2024) - 2023
- [j70]Shanlin Qin, Rongliang Chen, Bokai Wu, Xiao-Chuan Cai:
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. Comput. Phys. 472: 111730 (2023) - [j69]Yingzhi Liu, Xiao-Chuan Cai:
Two-level additive Schwarz methods for three-dimensional unsteady Stokes flows in patient-specific arteries with parameterized one-dimensional central-line coarse preconditioner. J. Comput. Phys. 490: 112290 (2023) - [j68]Shishun Li, Jing-Yuan Wang, Xiao-Chuan Cai:
A-Stable High-Order Block Implicit Methods for Parabolic Equations. SIAM J. Numer. Anal. 61(4): 1858-1884 (2023) - [j67]Li Luo, Xiao-Chuan Cai:
\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations. SIAM J. Sci. Comput. 45(2): 849- (2023) - [j66]Zhengzheng Yan, Zhifeng Yao, Weifeng Guo, Dandan Shang, Rongliang Chen, Jia Liu, Xiao-Chuan Cai, Junbo Ge:
Impact of Pressure Wire on Fractional Flow Reserve and Hemodynamics of the Coronary Arteries: A Computational and Clinical Study. IEEE Trans. Biomed. Eng. 70(5): 1683-1691 (2023) - [c12]Yujie Gong, Fenfen Qi, Jing-Yuan Wang, Yingzhi Liu, 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. MetaCom 2023: 193-200 - 2022
- [j65]Xiaomao Deng, Zi-Ju Liao, Xiao-Chuan Cai:
An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems. Comput. Math. Appl. 111: 98-108 (2022) - [j64]Jian Xie, Zaiheng Cheng, Lihua Gu, Bokai Wu, Gaojia Zhang, Wen-Shin Shiu, Rongliang Chen, Zan Wang, Chang Liu, Jie Tu, Xiao-Chuan Cai, Jia Liu, Zhijun Zhang:
Evaluation of cerebrovascular hemodynamics in vascular dementia patients with a new individual computational fluid dynamics algorithm. Comput. Methods Programs Biomed. 213: 106497 (2022) - [j63]Zhengzheng Yan, Rongliang Chen, Xiao-Chuan Cai:
Large eddy simulation of the wind flow in a realistic full-scale urban community with a scalable parallel algorithm. Comput. Phys. Commun. 270: 108170 (2022) - [j62]Xingding Chen, Xiao-Chuan Cai:
A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM. J. Comput. Phys. 452: 110910 (2022) - [j61]Lulu Liu, Feng-Nan Hwang, Li Luo, Xiao-Chuan Cai, David E. Keyes:
A Nonlinear Elimination Preconditioned Inexact Newton Algorithm. SIAM J. Sci. Comput. 44(3): 1579- (2022) - 2021
- [j60]Linyan Gu, Xiao-Chuan Cai:
Fusing 2D and 3D convolutional neural networks for the segmentation of aorta and coronary arteries from CT images. Artif. Intell. Medicine 121: 102189 (2021) - [j59]Shanlin Qin, Bokai Wu, Jia Liu, Wen-Shin Shiu, Zhengzheng Yan, Rongliang Chen, Xiao-Chuan Cai:
Efficient parallel simulation of hemodynamics in patient-specific abdominal aorta with aneurysm. Comput. Biol. Medicine 136: 104652 (2021) - [j58]Wenpeng Ma, Xiao-Chuan Cai:
Point-block incomplete LU preconditioning with asynchronous iterations on GPU for multiphysics problems. Int. J. High Perform. Comput. Appl. 35(2) (2021) - [j57]Xiaomao Deng, Zi-Ju Liao, Xiao-Chuan Cai:
A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations. J. Comput. Appl. Math. 392: 113441 (2021) - [j56]Yingzhi Liu, Xiao-Chuan Cai:
A central-line coarse preconditioner for Stokes flows in artery-like domains. Numer. Algorithms 87(1): 137-160 (2021) - [j55]Jingwei Li, Xiao-Chuan Cai:
Summation pollution of principal component analysis and an improved algorithm for location sensitive data. Numer. Linear Algebra Appl. 28(5) (2021) - [j54]Li Luo, Xiao-Chuan Cai, David E. Keyes:
Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method. SIAM J. Sci. Comput. 43(5): S317-S344 (2021) - 2020
- [j53]Li Luo, Lulu Liu, Xiao-Chuan Cai, David E. Keyes:
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids. J. Comput. Phys. 409: 109312 (2020) - [j52]Li Luo, Xiao-Chuan Cai, Zhengzheng Yan, Lei Xu, David E. Keyes:
A Multilayer Nonlinear Elimination Preconditioned Inexact Newton Method for Steady-State Incompressible Flow Problems in Three Dimensions. SIAM J. Sci. Comput. 42(6): B1404-B1428 (2020)
2010 – 2019
- 2019
- [j51]Shishun Li, Xinping Shao, Xiao-Chuan Cai:
Highly parallel space-time domain decomposition methods for parabolic problems. CCF Trans. High Perform. Comput. 1(1): 25-34 (2019) - [j50]Li Luo, Wen-Shin Shiu, Rongliang Chen, Xiao-Chuan Cai:
A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis. J. Comput. Phys. 399 (2019) - [j49]Lei Xu, Rongliang Chen, Xiao-Chuan Cai:
基于非结构化网格的高可扩展并行有限体积格子 (Scalable Parallel Finite Volume Lattice Boltzmann Method Based on Unstructured Grid). 计算机科学 46(8): 84-88 (2019) - [j48]Shihua Gong, Xiao-Chuan Cai:
A Nonlinear Elimination Preconditioned Inexact Newton Method for Heterogeneous Hyperelasticity. SIAM J. Sci. Comput. 41(5): S390-S408 (2019) - 2018
- [j47]Fande Kong, Xiao-Chuan Cai:
Scalability study of an implicit solver for coupled fluid-structure interaction problems on unstructured meshes in 3D. Int. J. High Perform. Comput. Appl. 32(2): 207-219 (2018) - [j46]Shishun Li, Xinping Shao, Xiao-Chuan Cai:
Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations. SIAM J. Sci. Comput. 40(5): A3012-A3037 (2018) - [i2]Fande Kong, Vitaly O. Kheyfets, Ender A. Finol, Xiao-Chuan Cai:
Simulation of unsteady blood flows in a patient-specific compliant pulmonary artery with a highly parallel monolithically coupled fluid-structure interaction algorithm. CoRR abs/1810.04289 (2018) - 2017
- [j45]Fande Kong, Xiao-Chuan Cai:
A scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D. J. Comput. Phys. 340: 498-518 (2017) - [j44]Li Luo, Xiao-Ping Wang, Xiao-Chuan Cai:
An efficient finite element method for simulation of droplet spreading on a topologically rough surface. J. Comput. Phys. 349: 233-252 (2017) - [j43]Haijian Yang, Xiao-Chuan Cai:
Two-Level Space-Time Domain Decomposition Methods for Flow Control Problems. J. Sci. Comput. 70(2): 717-743 (2017) - [j42]Li Luo, Qian Zhang, Xiao-Ping Wang, Xiao-Chuan Cai:
A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains. J. Sci. Comput. 72(3): 1119-1145 (2017) - 2016
- [j41]Tao Zhao, Feng-Nan Hwang, Xiao-Chuan Cai:
Parallel two-level domain decomposition based Jacobi-Davidson algorithms for pyramidal quantum dot simulation. Comput. Phys. Commun. 204: 74-81 (2016) - [j40]Xiaomao Deng, Xiao-Chuan Cai, Jun Zou:
Two-Level Space-Time Domain Decomposition Methods for Three-Dimensional Unsteady Inverse Source Problems. J. Sci. Comput. 67(3): 860-882 (2016) - [j39]Fande Kong, Xiao-Chuan Cai:
A Highly Scalable Multilevel Schwarz Method with Boundary Geometry Preserving Coarse Spaces for 3D Elasticity Problems on Domains with Complex Geometry. SIAM J. Sci. Comput. 38(2) (2016) - [j38]Jizu Huang, Chao Yang, Xiao-Chuan Cai:
A Nonlinearly Preconditioned Inexact Newton Algorithm for Steady State Lattice Boltzmann Equations. SIAM J. Sci. Comput. 38(3) (2016) - [j37]Haijian Yang, Feng-Nan Hwang, Xiao-Chuan Cai:
Nonlinear Preconditioning Techniques for Full-Space Lagrange-Newton Solution of PDE-Constrained Optimization Problems. SIAM J. Sci. Comput. 38(5) (2016) - 2015
- [j36]Xiang Zheng, Chao Yang, Xiao-Chuan Cai, David E. Keyes:
A parallel domain decomposition-based implicit method for the Cahn-Hilliard-Cook phase-field equation in 3D. J. Comput. Phys. 285: 55-70 (2015) - [j35]Shishun Li, Xiao-Chuan Cai:
Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations. SIAM J. Numer. Anal. 53(6): 2727-2751 (2015) - [j34]Jizu Huang, Chao Yang, Xiao-Chuan Cai:
A Fully Implicit Method for Lattice Boltzmann Equations. SIAM J. Sci. Comput. 37(5) (2015) - [i1]Xiaomao Deng, Xiao-Chuan Cai, Jun Zou:
Two-level space-time domain decomposition methods for unsteady inverse problems. CoRR abs/1508.06103 (2015) - 2014
- [j33]Yuqi Wu, Xiao-Chuan Cai:
A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation. J. Comput. Phys. 258: 524-537 (2014) - [j32]Rongliang Chen, Yuqi Wu, Zhengzheng Yan, Yubo Zhao, Xiao-Chuan Cai:
A Parallel Domain Decomposition Method for 3D Unsteady Incompressible Flows at High Reynolds Number. J. Sci. Comput. 58(2): 275-289 (2014) - [j31]Haijian Yang, Chao Yang, Xiao-Chuan Cai:
Parallel Domain Decomposition Methods with Mixed Order Discretization for Fully Implicit Solution of Tracer Transport Problems on the Cubed-Sphere. J. Sci. Comput. 61(2): 258-280 (2014) - [j30]Cui Cong, Xiao-Chuan Cai, Karl Gustafson:
Implicit Space-Time Domain Decomposition Methods for Stochastic Parabolic Partial Differential Equations. SIAM J. Sci. Comput. 36(1) (2014) - [j29]Chao Yang, Xiao-Chuan Cai:
A Scalable Fully Implicit Compressible Euler Solver for Mesoscale Nonhydrostatic Simulation of Atmospheric Flows. SIAM J. Sci. Comput. 36(5) (2014) - 2013
- [j28]Feng-Nan Hwang, Xiao-Chuan Cai, Yu-Lun Cheng, Chia-Wen Tsao:
A parallel fully coupled implicit domain decomposition method for numerical simulation of microfluidic mixing in 3D. Int. J. Comput. Math. 90(3): 615-629 (2013) - [c11]Chao Yang, Xiao-Chuan Cai:
A Scalable Implicit Solver for Phase Field Crystal Simulations. IPDPS Workshops 2013: 1409-1416 - [p5]Haijian Yang, Xiao-Chuan Cai:
Two-Grid LNKSz for Distributed Control of Unsteady Incompressible Flows. Domain Decomposition Methods in Science and Engineering XX 2013: 467-474 - [p4]Rongliang Chen, Xiao-Chuan Cai:
One-Shot Domain Decomposition Methods for Shape Optimization Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 535-542 - [p3]Yuqi Wu, Xiao-Chuan Cai:
A Parallel Monolithic Domain Decomposition Method for Blood Flow Simulations in 3D. Domain Decomposition Methods in Science and Engineering XX 2013: 671-678 - [p2]Chao Yang, Xiao-Chuan Cai:
A Fully Implicit Compressible Euler Solver for Atmospheric Flows. Domain Decomposition Methods in Science and Engineering XX 2013: 679-686 - 2012
- [j27]Rongliang Chen, Xiao-Chuan Cai:
Parallel One-Shot Lagrange-Newton-Krylov-Schwarz Algorithms for Shape Optimization of Steady Incompressible Flows. SIAM J. Sci. Comput. 34(5) (2012) - [c10]Haijian Yang, Xiao-Chuan Cai:
Scalable Parallel Algorithms for Boundary Control of Thermally Convective Flows. IPDPS Workshops 2012: 1387-1396 - [c9]Rongliang Chen, Xiao-Chuan Cai:
Numerical Design of an Optimal Bypass for a Partially Blocked Artery. IPDPS Workshops 2012: 1449-1456 - [c8]Li Luo, Yubo Zhao, Xiao-Chuan Cai:
A Hybrid Implementation of Two-Level Domain Decomposition Algorithm for Solving Elliptic Equation on CPU/GPUs. PDCAT 2012: 474-477 - 2011
- [j26]Chao Yang, Xiao-Chuan Cai:
A parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere. J. Comput. Appl. Math. 235(18): 5357-5366 (2011) - [j25]Chao Yang, Xiao-Chuan Cai:
Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere. J. Comput. Phys. 230(7): 2523-2539 (2011) - [j24]Haijian Yang, Xiao-Chuan Cai:
Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear Complementarity Problems. J. Sci. Comput. 47(2): 258-280 (2011) - [j23]Xiao-Chuan Cai, Xuefeng Li:
Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity. SIAM J. Sci. Comput. 33(2): 746-762 (2011) - [j22]Ray Tuminaro, Michele Benzi, Xiao-Chuan Cai, Iain Duff, Howard C. Elman, Roland Freund, Kirk E. Jordan, Tim Kelley, David E. Keyes, Misha Elena Kilmer, Sven Leyffer, Tom Manteuffel, Steve F. McCormick, David J. Silvester, Homer F. Walker:
Special Section: 2010 Copper Mountain Conference. SIAM J. Sci. Comput. 33(5): 2685 (2011) - 2010
- [j21]Andrew T. Barker, Xiao-Chuan Cai:
Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling. J. Comput. Phys. 229(3): 642-659 (2010) - [j20]Chao Yang, Jianwen Cao, Xiao-Chuan Cai:
A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere. SIAM J. Sci. Comput. 32(1): 418-438 (2010) - [j19]Andrew T. Barker, Xiao-Chuan Cai:
Two-Level Newton and Hybrid Schwarz Preconditioners for Fluid-Structure Interaction. SIAM J. Sci. Comput. 32(4): 2395-2417 (2010) - [c7]Chao Yang, Xiao-Chuan Cai:
Scalability Studies of an Implicit Shallow Water Solver for the Rossby-Haurwitz Problem. VECPAR 2010: 172-184
2000 – 2009
- 2009
- [c6]Xiao-Chuan Cai, Xuefeng Li:
A Domain Decomposition Based Parallel Inexact Newton's Method with Subspace Correction for Incompressible Navier-Stokes Equations. ICCS (1) 2009: 795-803 - 2007
- [j18]Serguei Ovtchinnikov, Florin Dobrian, Xiao-Chuan Cai, David E. Keyes:
Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems. J. Comput. Phys. 225(2): 1919-1936 (2007) - [j17]Ernesto E. Prudencio, Xiao-Chuan Cai:
Parallel Multilevel Restricted Schwarz Preconditioners with Pollution Removing for PDE-Constrained Optimization. SIAM J. Sci. Comput. 29(3): 964-985 (2007) - [j16]Chao Jin, Xiao-Chuan Cai, Congming Li:
Parallel Domain Decomposition Methods for Stochastic Elliptic Equations. SIAM J. Sci. Comput. 29(5): 2096-2114 (2007) - 2006
- [j15]Ernesto E. Prudencio, Richard H. Byrd, Xiao-Chuan Cai:
Parallel Full Space SQP Lagrange-Newton-Krylov-Schwarz Algorithms for PDE-Constrained Optimization Problems. SIAM J. Sci. Comput. 27(4): 1305-1328 (2006) - 2004
- [j14]Maria Murillo, Xiao-Chuan Cai:
A fully implicit parallel algorithm for simulating the non-linear electrical activity of the heart. Numer. Linear Algebra Appl. 11(2-3): 261-277 (2004) - [j13]Serguei Ovtchinnikov, Xiao-Chuan Cai:
One-level Newton-Krylov-Schwarz algorithm for unsteady non-linear radiation diffusion problem. Numer. Linear Algebra Appl. 11(10): 867-881 (2004) - [c5]Feng-Nan Hwang, Xiao-Chuan Cai:
A Combined Linear and Nonlinear Preconditioning Technique for Incompressible Navier-Stokes Equations. PARA 2004: 313-322 - [c4]Ernesto E. Prudencio, Richard H. Byrd, Xiao-Chuan Cai:
Domain Decomposition Methods for PDE Constrained Optimization Problems. VECPAR 2004: 569-582 - 2003
- [j12]Xiao-Chuan Cai, Maksymilian Dryja, Marcus Sarkis:
Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems. SIAM J. Numer. Anal. 41(4): 1209-1231 (2003) - 2002
- [j11]Xiao-Chuan Cai, Jun Zou:
Some observations on the l2 convergence of the additive Schwarz preconditioned GMRES method. Numer. Linear Algebra Appl. 9(5): 379-397 (2002) - [j10]Xiao-Chuan Cai, David E. Keyes:
Nonlinearly Preconditioned Inexact Newton Algorithms. SIAM J. Sci. Comput. 24(1): 183-200 (2002) - [c3]Maria Murillo, Xiao-Chuan Cai:
Parallel Newton-Krylov-Schwarz Method for Solving the Anisotropic Bidomain Equations from the Excitation of the Heart Model. International Conference on Computational Science (1) 2002: 533-542 - 2000
- [j9]Xiao-Chuan Cai, Tarek P. Mathew, Marcus V. Sarkis:
Maximum Norm Analysis of Overlapping Nonmatching Grid Discretizations of Elliptic Equations. SIAM J. Numer. Anal. 37(5): 1709-1728 (2000)
1990 – 1999
- 1999
- [j8]Xiao-Chuan Cai, Marcus Sarkis:
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems. SIAM J. Sci. Comput. 21(2): 792-797 (1999) - [c2]Xiao-Chuan Cai, Maria Murillo:
Parallel Newton-Krylov-Schwarz Method for Solving Nonlinear PDEs on Moving Grids. PP 1999 - 1998
- [j7]Xiao-Chuan Cai, William D. Gropp, David E. Keyes, Robin G. Melvin, David P. Young:
Parallel Newton-Krylov-Schwarz Algorithms for the Transonic Full Potential Equation. SIAM J. Sci. Comput. 19(1): 246-265 (1998) - 1996
- [j6]Xiao-Chuan Cai, Yousef Saad:
Overlapping Domain Decomposition Algorithms for General Sparse Matrices. Numer. Linear Algebra Appl. 3(3): 221-237 (1996) - 1995
- [j5]Xiao-Chuan Cai:
The Use of Pointwise Interpolation in Domain Decomposition Methods with Nonnested Meshes. SIAM J. Sci. Comput. 16(1): 250-256 (1995) - [p1]Xiao-Chuan Cai:
1. A Family of Overlapping Schwarz Algorithms for Nonsymmetric and Indefinite Elliptic Problems. Domain-Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering 1995: 1-19 - 1994
- [j4]Xiao-Chuan Cai, William D. Gropp, David E. Keyes:
A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems. Numer. Linear Algebra Appl. 1(5): 477-504 (1994) - [j3]Xiao-Chuan Cai:
Multiplicative Schwarz Methods for Parabolic Problems. SIAM J. Sci. Comput. 15(3): 587-603 (1994) - 1993
- [j2]Xiao-Chuan Cai:
An Optimal Two-Level Overlapping Domain Decomposition Method for Elliptic Problems in Two and Three Dimensions. SIAM J. Sci. Comput. 14(1): 239-247 (1993) - [c1]Xiao-Chuan Cai, Yousef Saad:
Graph Decomposition Techniques for General Sparse Matrices. PPSC 1993: 683-686 - 1992
- [j1]Xiao-Chuan Cai, Olof B. Widlund:
Domain Decomposition Algorithms for Indefinite Elliptic Problems. SIAM J. Sci. Comput. 13(1): 243-258 (1992)
Coauthor Index
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