Xiao-Chuan Cai

Publication Activity (10 Years)

Years Active: 1992-2024
Publications (10 Years): 39

Top Topics

Decomposition Method

Optimization Problems

Highly Parallel

Top Venues

SIAM J. Sci. Comput.

J. Comput. Phys.

J. Sci. Comput.

Publications

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 (2024)
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) (2024)
Jingwei Li, Xiao-Chuan Cai
Domain decomposed classification algorithms based on linear discriminant analysis: An optimality theory and applications. Neurocomputing 575 (2024)
Shishun Li, Jing-Yuan Wang, Xiao-Chuan Cai
A-Stable High-Order Block Implicit Methods for Parabolic Equations. SIAM J. Numer. Anal. 61 (4) (2023)
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 (2023)
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) (2023)
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)
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 (2023)
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) (2023)
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 (2022)
Xingding Chen, Xiao-Chuan Cai
A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM. J. Comput. Phys. 452 (2022)
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) (2022)
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 (2022)
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 (2022)
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) (2021)
Yingzhi Liu, Xiao-Chuan Cai
A central-line coarse preconditioner for Stokes flows in artery-like domains. Numer. Algorithms 87 (1) (2021)
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)
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)
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 (2021)
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 (2021)
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 (2021)
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 (2020)
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) (2020)
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)
Shihua Gong, Xiao-Chuan Cai
A Nonlinear Elimination Preconditioned Inexact Newton Method for Heterogeneous Hyperelasticity. SIAM J. Sci. Comput. 41 (5) (2019)
Shishun Li, Xinping Shao, Xiao-Chuan Cai
Highly parallel space-time domain decomposition methods for parabolic problems. CCF Trans. High Perform. Comput. 1 (1) (2019)
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) (2019)
Shishun Li, Xinping Shao, Xiao-Chuan Cai
Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations. SIAM J. Sci. Comput. 40 (5) (2018)
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 (2018)
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) (2018)
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 (2017)
Haijian Yang, Xiao-Chuan Cai
Two-Level Space-Time Domain Decomposition Methods for Flow Control Problems. J. Sci. Comput. 70 (2) (2017)
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) (2017)
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 (2017)
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)
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 (2016)
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)
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)
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) (2016)
Shishun Li, Xiao-Chuan Cai
Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations. SIAM J. Numer. Anal. 53 (6) (2015)
Jizu Huang, Chao Yang, Xiao-Chuan Cai
A Fully Implicit Method for Lattice Boltzmann Equations. SIAM J. Sci. Comput. 37 (5) (2015)
Xiaomao Deng, Xiao-Chuan Cai, Jun Zou
Two-level space-time domain decomposition methods for unsteady inverse problems. CoRR (2015)
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 (2015)
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) (2014)
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) (2014)
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)
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)
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 (2014)
Chao Yang, Xiao-Chuan Cai
A Scalable Implicit Solver for Phase Field Crystal Simulations. IPDPS Workshops (2013)
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) (2013)
Haijian Yang, Xiao-Chuan Cai
Scalable Parallel Algorithms for Boundary Control of Thermally Convective Flows. IPDPS Workshops (2012)
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)
Rongliang Chen, Xiao-Chuan Cai
Numerical Design of an Optimal Bypass for a Partially Blocked Artery. IPDPS Workshops (2012)
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)
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) (2011)
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) (2011)
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) (2011)
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) (2011)
Haijian Yang, Xiao-Chuan Cai
Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear Complementarity Problems. J. Sci. Comput. 47 (2) (2011)
Andrew T. Barker, Xiao-Chuan Cai
Two-Level Newton and Hybrid Schwarz Preconditioners for Fluid-Structure Interaction. SIAM J. Sci. Comput. 32 (4) (2010)
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) (2010)
Chao Yang, Xiao-Chuan Cai
Scalability Studies of an Implicit Shallow Water Solver for the Rossby-Haurwitz Problem. VECPAR (2010)
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) (2010)
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)
Chao Jin, Xiao-Chuan Cai, Congming Li
Parallel Domain Decomposition Methods for Stochastic Elliptic Equations. SIAM J. Sci. Comput. 29 (5) (2007)
Ernesto E. Prudencio, Xiao-Chuan Cai
Parallel Multilevel Restricted Schwarz Preconditioners with Pollution Removing for PDE-Constrained Optimization. SIAM J. Sci. Comput. 29 (3) (2007)
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) (2007)
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) (2006)
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) (2004)
Ernesto E. Prudencio, Richard H. Byrd, Xiao-Chuan Cai
Domain Decomposition Methods for PDE Constrained Optimization Problems. VECPAR (2004)
Feng-Nan Hwang, Xiao-Chuan Cai
A Combined Linear and Nonlinear Preconditioning Technique for Incompressible Navier-Stokes Equations. PARA (2004)
Serguei Ovtchinnikov, Xiao-Chuan Cai
One-level Newton-Krylov-Schwarz algorithm for unsteady non-linear radiation diffusion problem. Numer. Linear Algebra Appl. 11 (10) (2004)
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) (2003)
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)
Xiao-Chuan Cai, Jun Zou
convergence of the additive Schwarz preconditioned GMRES method. Numer. Linear Algebra Appl. 9 (5) (2002)
Xiao-Chuan Cai, David E. Keyes
Nonlinearly Preconditioned Inexact Newton Algorithms. SIAM J. Sci. Comput. 24 (1) (2002)
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) (2000)
Xiao-Chuan Cai, Maria Murillo
Parallel Newton-Krylov-Schwarz Method for Solving Nonlinear PDEs on Moving Grids. PPSC (1999)
Xiao-Chuan Cai, Marcus Sarkis
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems. SIAM J. Sci. Comput. 21 (2) (1999)
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) (1998)
Xiao-Chuan Cai, Yousef Saad
Overlapping Domain Decomposition Algorithms for General Sparse Matrices. Numer. Linear Algebra Appl. 3 (3) (1996)
Xiao-Chuan Cai
The Use of Pointwise Interpolation in Domain Decomposition Methods with Nonnested Meshes. SIAM J. Sci. Comput. 16 (1) (1995)
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) (1994)
Xiao-Chuan Cai
Multiplicative Schwarz Methods for Parabolic Problems. SIAM J. Sci. Comput. 15 (3) (1994)
Xiao-Chuan Cai, Yousef Saad
Graph Decomposition Techniques for General Sparse Matrices. PPSC (1993)
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) (1993)
Xiao-Chuan Cai, Olof B. Widlund
Domain Decomposition Algorithms for Indefinite Elliptic Problems. SIAM J. Sci. Comput. 13 (1) (1992)