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Cai, Xiao-Chuan

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Author ID: cai.xiao-chuan Recent zbMATH articles by "Cai, Xiao-Chuan"
Published as: Cai, Xiao-Chuan; Cai, X.-C.; Cai, Xiao-Chuan.
Homepage: https://www.colorado.edu/faculty/cai/
External Links: MGP · dblp
Documents Indexed: 119 Publications since 1990, including 2 Books
all top 5

Co-Authors

8 single-authored
18 Keyes, David Elliot
13 Yang, Chao
11 Hwang, Fengnan
9 Chen, Rongliang
9 Sarkis, Marcus V.
8 Yang, Haijian
7 Luo, Li
6 Dryja, Maksymilian
6 Gropp, William D.
5 Yan, Zhengzheng
5 Zou, Jun
4 Barker, Andrew T.
4 Huang, Jizu
4 Prudencio, Ernesto E.
4 Widlund, Olof B.
4 Wu, Yuqi
3 Deng, Xiaomao
3 Liu, Si
3 Marcinkowski, Leszek
3 Wang, Xiaoping
3 Zhao, Yubo
2 Benzi, Michele
2 Bialecki, Bernard
2 Duff, Iain S.
2 Elman, Howard C.
2 Farhat, Charbel H.
2 Gong, Shihua
2 Jin, Chao
2 Jordan, Kirk E.
2 Kelley, Tim
2 Kilmer, Misha E.
2 Klawonn, Axel
2 Kong, Fande
2 Leyffer, Sven
2 Li, Shishun
2 Manteuffel, Thomas A.
2 McCormick, Steve Fahrney
2 Murillo, Maria
2 Ovtchinnikov, Serguei
2 Shiu, Wen-Shin
2 Silvester, David J.
2 Tidriri, M. Driss
2 Tuminaro, Ray S.
2 Walker, Homer F.
2 Woodward, Carol S.
2 Yavneh, Irad
2 Young, David P.
2 Zhang, Qian
2 Zhao, Tao
1 Brenner, Susanne Cecelia
1 Cao, Jianwen
1 Casarin, Mario A.
1 Cheng, Yu-Lun
1 Cong, Cui
1 de Oliveira-Filho, Waldyr Lopes
1 Dobrian, Florin
1 Elliott, Frank W. jun.
1 Fairweather, Graeme
1 Freund, Roland W.
1 Gander, Martin Jakob
1 Goossens, Serge
1 Gustafson, Karl Edwin
1 Jiang, Yi
1 Kim, Hyea Hyun
1 Knoll, Dana A.
1 Lee, Chang-Ock
1 Li, Congming
1 Li, Xuefeng
1 Liao, Ziju
1 Lin, Hsin-Lun
1 Liu, Jia
1 Liu, Lulu
1 Liu, Yingzhi
1 Livshits, Irene
1 Mandel, Jan
1 Mathew, Tarek P. A.
1 Melvin, Robin G.
1 Olson, Luke N.
1 Park, Eun-Jae
1 Pernice, Michael
1 Roose, Dirk
1 Saad, Yousef
1 Shadid, John N.
1 Shao, Xinping
1 Su, Yi-Cheng
1 Suwito, Wan
1 Szyld, Daniel B.
1 Tsao, Chia-Wen
1 Vassilevski, Panayot Spirov
1 Wu, Yunhai
1 Xi, Yunping
1 Xu, Jinchao
1 Xu, Lei
1 Yao, Daniel T. C.
1 Zheng, Xiang
1 Znidarcic, Dobroslav

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 1,099 times in 566 Documents Cited by Year
A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031
Cai, Xiao-Chuan; Sarkis, Marcus
136
1999
Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085
Cai, Xiao-Chuan; Widlund, Olof B.
67
1992
Additive Schwarz algorithms for parabolic convection-diffusion equations. Zbl 0737.65078
Cai, Xiao-Chuan
65
1991
Nonlinearly preconditioned inexact Newton algorithms. Zbl 1015.65058
Cai, Xiao-Chuan; Keyes, David E.
60
2002
Multiplicative Schwarz methods for parabolic problems. Zbl 0803.65096
Cai, Xiao-Chuan
49
1994
Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. Zbl 0917.76035
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.; Melvin, Robin G.; Young, David P.
36
1998
A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations. Zbl 1267.76083
Hwang, Feng-Nan; Cai, Xiao-Chuan
33
2005
Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling. Zbl 1253.76137
Barker, Andrew T.; Cai, Xiao-Chuan
31
2010
Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems. Zbl 0787.65016
Cai, Xiao-Chuan; Widlund, Olof B.
30
1993
A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms. Zbl 1173.76385
Hwang, Feng-Nan; Cai, Xiao-Chuan
27
2007
Nonlinear additive Schwarz preconditioners and application in computational fluid dynamics. Zbl 1025.76040
Cai, Xiao-Chuan; Keyes, David E.; Marcinkowski, Leszek
25
2002
A fully implicit parallel algorithm for simulating the nonlinear electrical activity of the heart. Zbl 1114.65112
Murillo, Maria; Cai, Xiao-Chuan.
23
2004
A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation. Zbl 1349.76552
Wu, Yuqi; Cai, Xiao-Chuan
20
2014
A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations. Zbl 0936.76036
Cai, Xiao-Chuan; Farhat, Charbel; Sarkis, Marcus
18
1998
Restricted additive Schwarz preconditioners with harmonic overlap for symmetric positive definite linear systems. Zbl 1052.65036
Cai, Xiao-Chuan; Dryja, Maksymilian; Sarkis, Marcus
18
2003
Newton-Krylov-Schwarz methods in CFD. Zbl 0876.76059
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D.
17
1994
Inexact Newton methods with restricted additive Schwarz based nonlinear elimination for problems with high local nonlinearity. Zbl 1227.65045
Cai, Xiao-Chuan; Li, Xuefeng
17
2011
A preconditioned GMRES method for nonsymmetric or indefinite problems. Zbl 0766.65034
Xu, Jinchao; Cai, Xiao-Chuan
16
1992
Overlapping Schwarz algorithms for solving Helmholtz’s equation. Zbl 0909.65104
Cai, Xiao-Chuan; Casarin, Mario A.; Elliott, Frank W. jun.; Widlund, Olof B.
16
1998
Overlapping nonmatching grid mortar element methods for elliptic problems. Zbl 0927.65131
Cai, Xiao-Chuan; Dryja, Maksymilian; Sarkis, Marcus
16
1998
A fully implicit domain decomposition algorithm for shallow water equations on the cubed-sphere. Zbl 1410.76309
Yang, Chao; Cao, Jianwen; Cai, Xiao-Chuan
16
2010
Two-level Newton and hybrid Schwarz preconditioners for fluid-structure interaction. Zbl 1214.92014
Barker, Andrew T.; Cai, Xiao-Chuan
15
2010
Domain decomposition methods for monotone nonlinear elliptic problems. Zbl 0817.65127
Cai, Xiao-Chuan; Dryja, Maksymilian
13
1994
Parallel full space SQP Lagrange-Newton-Krylov-Schwarz algorithms for PDE-constrained optimization problems. Zbl 1092.49024
Prudencio, Ernesto E.; Byrd, Richard; Cai, Xiao-Chuan
13
2006
Overlapping domain decomposition algorithms for general sparse matrices. Zbl 0851.65083
Cai, Xiao-Chuan; Saad, Yousef
12
1996
A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation. Zbl 1390.76271
Hwang, Feng-Nan; Su, Yi-Cheng; Cai, Xiao-Chuan
12
2015
A parallel space-time domain decomposition method for unsteady source inversion problems. Zbl 1332.65057
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun
11
2015
Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems. Zbl 1342.49044
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun
11
2016
Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems. Zbl 1343.76049
Ovtchinnikov, S.; Dobrian, F.; Cai, X.-C.; Keyes, D. E.
11
2007
Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation. Zbl 1205.65180
Hwang, Feng-Nan; Lin, Hsin-Lun; Cai, Xiao-Chuan
11
2010
Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere. Zbl 1316.76016
Yang, Chao; Cai, Xiao-Chuan
10
2011
Parallel domain decomposition methods for stochastic elliptic equations. Zbl 1149.65007
Jin, Chao; Cai, Xiao-Chuan; Li, Congming
10
2007
A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems. Zbl 0838.65025
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
9
1994
Fully implicit Lagrange-Newton-Krylov-Schwarz algorithms for boundary control of unsteady incompressible flows. Zbl 1253.65145
Yang, Haijian; Prudencio, Ernesto E.; Cai, Xiao-Chuan
9
2012
Parallel one-shot Lagrange–Newton–Krylov–Schwarz algorithms for shape optimization of steady incompressible flows. Zbl 1256.49034
Chen, Rongliang; Cai, Xiao-Chuan
9
2012
A parallel domain decomposition method for 3D unsteady incompressible flows at high Reynolds number. Zbl 1298.76057
Chen, Rongliang; Wu, Yuqi; Yan, Zhengzheng; Zhao, Yubo; Cai, Xiao-Chuan
8
2014
Maximum norm analysis of overlapping nonmatching grid discretizations of elliptic equations. Zbl 0963.65125
Cai, Xiao-Chuan; Mathew, Tarek P.; Sarkis, Marcus V.
8
2000
Parallel multilevel restricted Schwarz preconditioners with pollution removing for PDE-constrained optimization. Zbl 1357.76020
Prudencio, Ernesto E.; Cai, Xiao-Chuan
8
2007
Parallel domain decomposition methods with mixed order discretization for fully implicit solution of tracer transport problems on the cubed-sphere. Zbl 1299.76165
Yang, Haijian; Yang, Chao; Cai, Xiao-Chuan
7
2014
A scalable fully implicit compressible Euler solver for mesoscale nonhydrostatic simulation of atmospheric flows. Zbl 1305.86005
Yang, Chao; Cai, Xiao-Chuan
7
2014
A scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D. Zbl 1376.76022
Kong, Fande; Cai, Xiao-Chuan
7
2017
A highly scalable multilevel Schwarz method with boundary geometry preserving coarse spaces for 3D elasticity problems on domains with complex geometry. Zbl 1380.65404
Kong, Fande; Cai, Xiao-Chuan
7
2016
Nonlinear preconditioning techniques for full-space Lagrange-Newton solution of PDE-constrained optimization problems. Zbl 1348.65103
Yang, Haijian; Hwang, Feng-Nan; Cai, Xiao-Chuan
7
2016
An optimal two-level overlapping domain decomposition method for elliptic problems in two and three dimensions. Zbl 0771.65083
Cai, Xiao-Chuan
7
1993
The use of pointwise interpolation in domain decomposition methods with nonnested meshes. Zbl 0826.65023
Cai, Xiao-Chuan
7
1995
A nonlinear additive Schwarz preconditioned inexact Newton method for shocked duct flows. Zbl 1201.76107
Cai, Xiao-Chuan; Keyes, David E.; Young, David P.
7
2002
One-level Newton-Krylov-Schwarz algorithm for unsteady nonlinear radiation diffusion problem. Zbl 1164.65468
Ovtchinnikov, Serguei; Cai, Xiao-Chuan
6
2004
An additive Schwarz algorithm for nonselfadjoint elliptic equations. Zbl 0701.65072
Cai, Xiao-Chuan
5
1990
Convergence analysis of two-level space-time additive Schwarz method for parabolic equations. Zbl 1330.65144
Li, Shishun; Cai, Xiao-Chuan
5
2015
Parallel performance of some two-level ASPIN algorithms. Zbl 1066.65057
Marcinkowski, Leszek; Cai, Xiao-Chuan
5
2005
A comparison of some domain decomposition algorithms for nonsymmetric ellliptic problems. Zbl 0770.65079
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
5
1992
Some observations on the \(l^2\) convergence of the additive Schwarz preconditioned GMRES method. Zbl 1071.65529
Cai, Xiao-Chuan; Zou, Jun
5
2002
Parallel fully coupled Schwarz preconditioners for saddle point problems. Zbl 1112.65026
Hwang, Feng-Nan; Cai, Xiao-Chuan
5
2006
Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. Zbl 1169.65342
Cai, Xiao-Chuan; Liu, Si; Zou, Jun
5
2009
Parallel two-grid semismooth Newton-Krylov-Schwarz method for nonlinear complementarity problems. Zbl 1217.65116
Yang, Haijian; Cai, Xiao-Chuan
5
2011
Implicit space-time domain decomposition methods for stochastic parabolic partial differential equations. Zbl 1292.65002
Cong, Cui; Cai, Xiao-Chuan; Gustafson, Karl
4
2014
A preconditioned recycling GMRES solver for stochastic Helmholtz problems. Zbl 1364.65278
Jin, Chao; Cai, Xiao-Chuan
4
2009
A fully implicit method for lattice Boltzmann equations. Zbl 1325.76144
Huang, Jizu; Yang, Chao; Cai, Xiao-Chuan
4
2015
An efficient finite element method for simulation of droplet spreading on a topologically rough surface. Zbl 1380.76042
Luo, Li; Wang, Xiao-Ping; Cai, Xiao-Chuan
4
2017
An additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation. Zbl 0798.65105
Bialecki, Bernard; Cai, X.-C.; Dryja, M.; Fairweather, G.
4
1994
A parallel two-level method for simulating blood flows in branching arteries with the resistive boundary condition. Zbl 1429.76023
Wu, Yuqi; Cai, Xiao-Chuan
4
2011
NKS method for the implicit solution of a coupled Allen-Cahn/Cahn-Hilliard system. Zbl 1465.35343
Yang, Chao; Cai, Xiao-Chuan; Keyes, David E.; Pernice, Michael
3
2014
Two-level space-time domain decomposition methods for flow control problems. Zbl 1404.65157
Yang, Haijian; Cai, Xiao-Chuan
3
2017
A nonlinearly preconditioned inexact Newton algorithm for steady state lattice Boltzmann equations. Zbl 1339.65236
Huang, Jizu; Yang, Chao; Cai, Xiao-Chuan
3
2016
Improving robustness and parallel scalability of Newton method through nonlinear preconditioning. Zbl 1067.65052
Hwang, Feng-Nan; Cai, Xiao-Chuan
3
2005
\(H^ 1\)-norm error bounds for piecewise Hermite bicubic orthogonal spline collocation schemes for elliptic boundary value problems. Zbl 0809.65107
Bialecki, Bernard; Cai, Xiao-Chuan
3
1994
Parallel implicit methods for aerodynamics. Zbl 0818.76065
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D.
3
1994
An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems. Zbl 1099.65031
Cai, Xiao-Chuan; Marcinkowski, Leszek; Vassilevski, Panayot S.
3
2005
A parallel domain decomposition algorithm for large scale image denoising. Zbl 1427.65401
Chen, Rongliang; Huang, Jizu; Cai, Xiao-Chuan
3
2019
Parallel two-level domain decomposition based Jacobi-Davidson algorithms for pyramidal quantum dot simulation. Zbl 1378.65110
Zhao, Tao; Hwang, Feng-Nan; Cai, Xiao-Chuan
2
2016
A parallel two-level domain decomposition based one-shot method for shape optimization problems. Zbl 1352.76046
Chen, Rongliang; Cai, Xiao-Chuan
2
2014
Additive Schwarz methods for hyperbolic equations. Zbl 0909.65062
Wu, Yunhai; Cai, Xiao-Chuan; Keyes, David E.
2
1998
Local multiplicative Schwarz algorithms for steady and unsteady convection-diffusion equations. Zbl 0913.65083
Cai, X.-C.; Sarkis, M.
2
1998
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids. Zbl 1435.76038
Luo, Li; Liu, Lulu; Cai, Xiao-Chuan; Keyes, David E.
2
2020
A nonlinear elimination preconditioned inexact Newton method for heterogeneous hyperelasticity. Zbl 1436.65065
Gong, Shihua; Cai, Xiao-Chuan
2
2019
RASHO: A restricted additive Schwarz preconditioner with harmonic overlap. Zbl 1026.65034
Cai, X.-C.; Dryja, M.; Sarkis, M.
2
2002
Nonlinear overlapping domain decomposition methods. Zbl 1183.65053
Cai, Xiao-Chuan
2
2009
NKS for fully coupled fluid-structure interaction with application. Zbl 1284.74029
Barker, Andrew T.; Cai, Xiao-Chuan
2
2009
Multilevel space-time additive Schwarz methods for parabolic equations. Zbl 1405.65113
Li, Shishun; Shao, Xinping; Cai, Xiao-Chuan
2
2018
A parallel domain decomposition-based implicit method for the Cahn-Hilliard-cook phase-field equation in 3D. Zbl 1351.76199
Zheng, Xiang; Yang, Chao; Cai, Xiao-Chuan; Keyes, David
1
2015
Simulation of cavity flows by an implicit domain decomposition algorithm for the lattice Boltzmann equations. Zbl 1383.76386
Huang, Jizu; Yang, Chao; Cai, Xiao-Chuan
1
2016
A family of overlapping Schwarz algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0854.65113
Cai, Xiao-Chuan
1
1995
Domain decomposition methods 10. The 10th international conference, Boulder, CO, USA, August 10–14, 1997. Zbl 0895.00045
Mandel, Jan (ed.); Farhat, Charbel (ed.); Cai, Xiao-Chuan (ed.)
1
1998
Numerical solution for consolidation and desiccation of soft soils. Zbl 1112.74439
Yao, Daniel T. C.; de Oliveira-Filho, Waldyr Lopes; Cai, Xiao-Chuan; Znidarcic, Dobroslav
1
2002
Parallel Newton-Krylov-Schwarz method for solving the anisotropic bidomain equations from the excitation of the heart model. Zbl 1048.92011
Murillo, M.; Cai, X.-C.
1
2002
A parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere. Zbl 1222.76065
Yang, Chao; Cai, Xiao-Chuan
1
2011
Convergence rate estimate for a domain decomposition method. Zbl 0727.65105
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
1
1991
Newton-Krylov-Schwarz method for a spherical shallow water model. Zbl 1430.76408
Yang, Chao; Cai, Xiao-Chuan
1
2011
Domain decomposition methods for a complementarity problem. Zbl 1217.65115
Yang, Haijian; Cai, Xiao-Chuan
1
2011
A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis. Zbl 1453.65109
Luo, Li; Shiu, Wen-Shin; Chen, Rongliang; Cai, Xiao-Chuan
1
2019
A multilayer nonlinear elimination preconditioned inexact Newton method for steady-state incompressible flow problems in three dimensions. Zbl 1456.76104
Luo, Li; Cai, Xiao-Chuan; Yan, Zhengzheng; Xu, Lei; Keyes, David E.
1
2020
Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere. Zbl 1390.86038
Yang, Haijian; Yang, Chao; Cai, Xiao-Chuan
1
2015
Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids. Zbl 1435.76038
Luo, Li; Liu, Lulu; Cai, Xiao-Chuan; Keyes, David E.
2
2020
A multilayer nonlinear elimination preconditioned inexact Newton method for steady-state incompressible flow problems in three dimensions. Zbl 1456.76104
Luo, Li; Cai, Xiao-Chuan; Yan, Zhengzheng; Xu, Lei; Keyes, David E.
1
2020
A parallel domain decomposition algorithm for large scale image denoising. Zbl 1427.65401
Chen, Rongliang; Huang, Jizu; Cai, Xiao-Chuan
3
2019
A nonlinear elimination preconditioned inexact Newton method for heterogeneous hyperelasticity. Zbl 1436.65065
Gong, Shihua; Cai, Xiao-Chuan
2
2019
A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis. Zbl 1453.65109
Luo, Li; Shiu, Wen-Shin; Chen, Rongliang; Cai, Xiao-Chuan
1
2019
Multilevel space-time additive Schwarz methods for parabolic equations. Zbl 1405.65113
Li, Shishun; Shao, Xinping; Cai, Xiao-Chuan
2
2018
A scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D. Zbl 1376.76022
Kong, Fande; Cai, Xiao-Chuan
7
2017
An efficient finite element method for simulation of droplet spreading on a topologically rough surface. Zbl 1380.76042
Luo, Li; Wang, Xiao-Ping; Cai, Xiao-Chuan
4
2017
Two-level space-time domain decomposition methods for flow control problems. Zbl 1404.65157
Yang, Haijian; Cai, Xiao-Chuan
3
2017
Two-level space-time domain decomposition methods for three-dimensional unsteady inverse source problems. Zbl 1342.49044
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun
11
2016
A highly scalable multilevel Schwarz method with boundary geometry preserving coarse spaces for 3D elasticity problems on domains with complex geometry. Zbl 1380.65404
Kong, Fande; Cai, Xiao-Chuan
7
2016
Nonlinear preconditioning techniques for full-space Lagrange-Newton solution of PDE-constrained optimization problems. Zbl 1348.65103
Yang, Haijian; Hwang, Feng-Nan; Cai, Xiao-Chuan
7
2016
A nonlinearly preconditioned inexact Newton algorithm for steady state lattice Boltzmann equations. Zbl 1339.65236
Huang, Jizu; Yang, Chao; Cai, Xiao-Chuan
3
2016
Parallel two-level domain decomposition based Jacobi-Davidson algorithms for pyramidal quantum dot simulation. Zbl 1378.65110
Zhao, Tao; Hwang, Feng-Nan; Cai, Xiao-Chuan
2
2016
Simulation of cavity flows by an implicit domain decomposition algorithm for the lattice Boltzmann equations. Zbl 1383.76386
Huang, Jizu; Yang, Chao; Cai, Xiao-Chuan
1
2016
A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation. Zbl 1390.76271
Hwang, Feng-Nan; Su, Yi-Cheng; Cai, Xiao-Chuan
12
2015
A parallel space-time domain decomposition method for unsteady source inversion problems. Zbl 1332.65057
Deng, Xiaomao; Cai, Xiao-Chuan; Zou, Jun
11
2015
Convergence analysis of two-level space-time additive Schwarz method for parabolic equations. Zbl 1330.65144
Li, Shishun; Cai, Xiao-Chuan
5
2015
A fully implicit method for lattice Boltzmann equations. Zbl 1325.76144
Huang, Jizu; Yang, Chao; Cai, Xiao-Chuan
4
2015
A parallel domain decomposition-based implicit method for the Cahn-Hilliard-cook phase-field equation in 3D. Zbl 1351.76199
Zheng, Xiang; Yang, Chao; Cai, Xiao-Chuan; Keyes, David
1
2015
Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere. Zbl 1390.86038
Yang, Haijian; Yang, Chao; Cai, Xiao-Chuan
1
2015
A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation. Zbl 1349.76552
Wu, Yuqi; Cai, Xiao-Chuan
20
2014
A parallel domain decomposition method for 3D unsteady incompressible flows at high Reynolds number. Zbl 1298.76057
Chen, Rongliang; Wu, Yuqi; Yan, Zhengzheng; Zhao, Yubo; Cai, Xiao-Chuan
8
2014
Parallel domain decomposition methods with mixed order discretization for fully implicit solution of tracer transport problems on the cubed-sphere. Zbl 1299.76165
Yang, Haijian; Yang, Chao; Cai, Xiao-Chuan
7
2014
A scalable fully implicit compressible Euler solver for mesoscale nonhydrostatic simulation of atmospheric flows. Zbl 1305.86005
Yang, Chao; Cai, Xiao-Chuan
7
2014
Implicit space-time domain decomposition methods for stochastic parabolic partial differential equations. Zbl 1292.65002
Cong, Cui; Cai, Xiao-Chuan; Gustafson, Karl
4
2014
NKS method for the implicit solution of a coupled Allen-Cahn/Cahn-Hilliard system. Zbl 1465.35343
Yang, Chao; Cai, Xiao-Chuan; Keyes, David E.; Pernice, Michael
3
2014
A parallel two-level domain decomposition based one-shot method for shape optimization problems. Zbl 1352.76046
Chen, Rongliang; Cai, Xiao-Chuan
2
2014
Fully implicit Lagrange-Newton-Krylov-Schwarz algorithms for boundary control of unsteady incompressible flows. Zbl 1253.65145
Yang, Haijian; Prudencio, Ernesto E.; Cai, Xiao-Chuan
9
2012
Parallel one-shot Lagrange–Newton–Krylov–Schwarz algorithms for shape optimization of steady incompressible flows. Zbl 1256.49034
Chen, Rongliang; Cai, Xiao-Chuan
9
2012
Inexact Newton methods with restricted additive Schwarz based nonlinear elimination for problems with high local nonlinearity. Zbl 1227.65045
Cai, Xiao-Chuan; Li, Xuefeng
17
2011
Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere. Zbl 1316.76016
Yang, Chao; Cai, Xiao-Chuan
10
2011
Parallel two-grid semismooth Newton-Krylov-Schwarz method for nonlinear complementarity problems. Zbl 1217.65116
Yang, Haijian; Cai, Xiao-Chuan
5
2011
A parallel two-level method for simulating blood flows in branching arteries with the resistive boundary condition. Zbl 1429.76023
Wu, Yuqi; Cai, Xiao-Chuan
4
2011
A parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere. Zbl 1222.76065
Yang, Chao; Cai, Xiao-Chuan
1
2011
Newton-Krylov-Schwarz method for a spherical shallow water model. Zbl 1430.76408
Yang, Chao; Cai, Xiao-Chuan
1
2011
Domain decomposition methods for a complementarity problem. Zbl 1217.65115
Yang, Haijian; Cai, Xiao-Chuan
1
2011
Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling. Zbl 1253.76137
Barker, Andrew T.; Cai, Xiao-Chuan
31
2010
A fully implicit domain decomposition algorithm for shallow water equations on the cubed-sphere. Zbl 1410.76309
Yang, Chao; Cao, Jianwen; Cai, Xiao-Chuan
16
2010
Two-level Newton and hybrid Schwarz preconditioners for fluid-structure interaction. Zbl 1214.92014
Barker, Andrew T.; Cai, Xiao-Chuan
15
2010
Two-level nonlinear elimination based preconditioners for inexact Newton methods with application in shocked duct flow calculation. Zbl 1205.65180
Hwang, Feng-Nan; Lin, Hsin-Lun; Cai, Xiao-Chuan
11
2010
Parallel overlapping domain decomposition methods for coupled inverse elliptic problems. Zbl 1169.65342
Cai, Xiao-Chuan; Liu, Si; Zou, Jun
5
2009
A preconditioned recycling GMRES solver for stochastic Helmholtz problems. Zbl 1364.65278
Jin, Chao; Cai, Xiao-Chuan
4
2009
Nonlinear overlapping domain decomposition methods. Zbl 1183.65053
Cai, Xiao-Chuan
2
2009
NKS for fully coupled fluid-structure interaction with application. Zbl 1284.74029
Barker, Andrew T.; Cai, Xiao-Chuan
2
2009
A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms. Zbl 1173.76385
Hwang, Feng-Nan; Cai, Xiao-Chuan
27
2007
Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems. Zbl 1343.76049
Ovtchinnikov, S.; Dobrian, F.; Cai, X.-C.; Keyes, D. E.
11
2007
Parallel domain decomposition methods for stochastic elliptic equations. Zbl 1149.65007
Jin, Chao; Cai, Xiao-Chuan; Li, Congming
10
2007
Parallel multilevel restricted Schwarz preconditioners with pollution removing for PDE-constrained optimization. Zbl 1357.76020
Prudencio, Ernesto E.; Cai, Xiao-Chuan
8
2007
Parallel full space SQP Lagrange-Newton-Krylov-Schwarz algorithms for PDE-constrained optimization problems. Zbl 1092.49024
Prudencio, Ernesto E.; Byrd, Richard; Cai, Xiao-Chuan
13
2006
Parallel fully coupled Schwarz preconditioners for saddle point problems. Zbl 1112.65026
Hwang, Feng-Nan; Cai, Xiao-Chuan
5
2006
A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations. Zbl 1267.76083
Hwang, Feng-Nan; Cai, Xiao-Chuan
33
2005
Parallel performance of some two-level ASPIN algorithms. Zbl 1066.65057
Marcinkowski, Leszek; Cai, Xiao-Chuan
5
2005
Improving robustness and parallel scalability of Newton method through nonlinear preconditioning. Zbl 1067.65052
Hwang, Feng-Nan; Cai, Xiao-Chuan
3
2005
An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems. Zbl 1099.65031
Cai, Xiao-Chuan; Marcinkowski, Leszek; Vassilevski, Panayot S.
3
2005
A fully implicit parallel algorithm for simulating the nonlinear electrical activity of the heart. Zbl 1114.65112
Murillo, Maria; Cai, Xiao-Chuan.
23
2004
One-level Newton-Krylov-Schwarz algorithm for unsteady nonlinear radiation diffusion problem. Zbl 1164.65468
Ovtchinnikov, Serguei; Cai, Xiao-Chuan
6
2004
Restricted additive Schwarz preconditioners with harmonic overlap for symmetric positive definite linear systems. Zbl 1052.65036
Cai, Xiao-Chuan; Dryja, Maksymilian; Sarkis, Marcus
18
2003
Nonlinearly preconditioned inexact Newton algorithms. Zbl 1015.65058
Cai, Xiao-Chuan; Keyes, David E.
60
2002
Nonlinear additive Schwarz preconditioners and application in computational fluid dynamics. Zbl 1025.76040
Cai, Xiao-Chuan; Keyes, David E.; Marcinkowski, Leszek
25
2002
A nonlinear additive Schwarz preconditioned inexact Newton method for shocked duct flows. Zbl 1201.76107
Cai, Xiao-Chuan; Keyes, David E.; Young, David P.
7
2002
Some observations on the \(l^2\) convergence of the additive Schwarz preconditioned GMRES method. Zbl 1071.65529
Cai, Xiao-Chuan; Zou, Jun
5
2002
RASHO: A restricted additive Schwarz preconditioner with harmonic overlap. Zbl 1026.65034
Cai, X.-C.; Dryja, M.; Sarkis, M.
2
2002
Numerical solution for consolidation and desiccation of soft soils. Zbl 1112.74439
Yao, Daniel T. C.; de Oliveira-Filho, Waldyr Lopes; Cai, Xiao-Chuan; Znidarcic, Dobroslav
1
2002
Parallel Newton-Krylov-Schwarz method for solving the anisotropic bidomain equations from the excitation of the heart model. Zbl 1048.92011
Murillo, M.; Cai, X.-C.
1
2002
Maximum norm analysis of overlapping nonmatching grid discretizations of elliptic equations. Zbl 0963.65125
Cai, Xiao-Chuan; Mathew, Tarek P.; Sarkis, Marcus V.
8
2000
A restricted additive Schwarz preconditioner for general sparse linear systems. Zbl 0944.65031
Cai, Xiao-Chuan; Sarkis, Marcus
136
1999
Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. Zbl 0917.76035
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.; Melvin, Robin G.; Young, David P.
36
1998
A minimum overlap restricted additive Schwarz preconditioner and applications in 3D flow simulations. Zbl 0936.76036
Cai, Xiao-Chuan; Farhat, Charbel; Sarkis, Marcus
18
1998
Overlapping Schwarz algorithms for solving Helmholtz’s equation. Zbl 0909.65104
Cai, Xiao-Chuan; Casarin, Mario A.; Elliott, Frank W. jun.; Widlund, Olof B.
16
1998
Overlapping nonmatching grid mortar element methods for elliptic problems. Zbl 0927.65131
Cai, Xiao-Chuan; Dryja, Maksymilian; Sarkis, Marcus
16
1998
Additive Schwarz methods for hyperbolic equations. Zbl 0909.65062
Wu, Yunhai; Cai, Xiao-Chuan; Keyes, David E.
2
1998
Local multiplicative Schwarz algorithms for steady and unsteady convection-diffusion equations. Zbl 0913.65083
Cai, X.-C.; Sarkis, M.
2
1998
Domain decomposition methods 10. The 10th international conference, Boulder, CO, USA, August 10–14, 1997. Zbl 0895.00045
Mandel, Jan; Farhat, Charbel; Cai, Xiao-Chuan
1
1998
Overlapping domain decomposition algorithms for general sparse matrices. Zbl 0851.65083
Cai, Xiao-Chuan; Saad, Yousef
12
1996
The use of pointwise interpolation in domain decomposition methods with nonnested meshes. Zbl 0826.65023
Cai, Xiao-Chuan
7
1995
A family of overlapping Schwarz algorithms for nonsymmetric and indefinite elliptic problems. Zbl 0854.65113
Cai, Xiao-Chuan
1
1995
Multiplicative Schwarz methods for parabolic problems. Zbl 0803.65096
Cai, Xiao-Chuan
49
1994
Newton-Krylov-Schwarz methods in CFD. Zbl 0876.76059
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D.
17
1994
Domain decomposition methods for monotone nonlinear elliptic problems. Zbl 0817.65127
Cai, Xiao-Chuan; Dryja, Maksymilian
13
1994
A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems. Zbl 0838.65025
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
9
1994
An additive Schwarz algorithm for piecewise Hermite bicubic orthogonal spline collocation. Zbl 0798.65105
Bialecki, Bernard; Cai, X.-C.; Dryja, M.; Fairweather, G.
4
1994
\(H^ 1\)-norm error bounds for piecewise Hermite bicubic orthogonal spline collocation schemes for elliptic boundary value problems. Zbl 0809.65107
Bialecki, Bernard; Cai, Xiao-Chuan
3
1994
Parallel implicit methods for aerodynamics. Zbl 0818.76065
Cai, X.-C.; Gropp, W. D.; Keyes, D. E.; Tidriri, M. D.
3
1994
Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems. Zbl 0787.65016
Cai, Xiao-Chuan; Widlund, Olof B.
30
1993
An optimal two-level overlapping domain decomposition method for elliptic problems in two and three dimensions. Zbl 0771.65083
Cai, Xiao-Chuan
7
1993
Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085
Cai, Xiao-Chuan; Widlund, Olof B.
67
1992
A preconditioned GMRES method for nonsymmetric or indefinite problems. Zbl 0766.65034
Xu, Jinchao; Cai, Xiao-Chuan
16
1992
A comparison of some domain decomposition algorithms for nonsymmetric ellliptic problems. Zbl 0770.65079
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
5
1992
Additive Schwarz algorithms for parabolic convection-diffusion equations. Zbl 0737.65078
Cai, Xiao-Chuan
65
1991
Convergence rate estimate for a domain decomposition method. Zbl 0727.65105
Cai, Xiao-Chuan; Gropp, William D.; Keyes, David E.
1
1991
An additive Schwarz algorithm for nonselfadjoint elliptic equations. Zbl 0701.65072
Cai, Xiao-Chuan
5
1990
all top 5

Cited by 903 Authors

48 Cai, Xiao-Chuan
18 Yang, Danping
14 Keyes, David Elliot
14 Yang, Chao
14 Yang, Haijian
12 Hwang, Fengnan
11 Gander, Martin Jakob
10 Nataf, Frédéric
9 Dolean, Victorita
9 Klawonn, Axel
9 Pavarino, Luca Franco
8 Chen, Rongliang
8 Zhang, Jiansong
7 Ma, Keying
7 Sun, Tongjun
7 Xu, Jinchao
7 Xu, Xuejun
6 Chen, Zhangxin
6 Graham, Ivan G.
6 Lanser, Martin
6 Liu, Lulu
6 Luo, Li
6 Rheinbach, Oliver
6 Scacchi, Simone
6 Spence, Euan A.
6 Sun, Shuyu
6 Zou, Jun
5 Bialecki, Bernard
5 Bukač, Martina
5 Farhat, Charbel H.
5 Haynes, Ronald D.
5 Hu, Qiya
5 Huang, Jizu
5 Jun, Younbae
5 Li, Shishun
5 Liu, Hui
5 Marcinkowski, Leszek
5 Quarteroni, Alfio M.
5 Shu, Shi
5 Szyld, Daniel B.
5 Tournier, Pierre-Henri
4 Chen, Jinru
4 di Serafino, Daniela
4 Heinlein, Alexander
4 Krause, Rolf H.
4 Lin, Paul T.
4 Loneland, Atle
4 Mai, Tsun-Zee
4 Rahman, Talal
4 Shadid, John N.
4 Shang, Yueqiang
4 Tai, Xuecheng
4 Tromeur-Dervout, Damien
4 van Zuijlen, Alexander H.
4 Vassilevski, Panayot Spirov
4 Widlund, Olof B.
4 Wu, Yuqi
4 Yan, Zhengzheng
4 Zampini, Stefano
4 Zhang, Hui
4 Zhong, Liuqiang
3 Antonietti, Paola Francesca
3 Badia, Santiago
3 Berenguer, Laurent
3 Bijl, Hester
3 Biros, George
3 Blom, David S.
3 Boulbrachene, Messaoud
3 D’Ambra, Pasqua
3 Demkowicz, Leszek F.
3 Deng, Xiaomao
3 Filippone, Salvatore
3 Glowinski, Roland
3 Gosselet, Pierre
3 Gunzburger, Max D.
3 Guo, Hui
3 Halpern, Laurence
3 Houzeaux, Guillaume
3 Huang, Weizhang
3 Jiang, Daijun
3 Jolivet, Pierre
3 Karniadakis, George Em
3 Kimn, Jung-Han
3 Kong, Fande
3 Kwok, Felix
3 Lanteri, Stéphane
3 Li, Lingxiao
3 Li, Weidong
3 Li, Yiteng
3 Liu, Xingping
3 Magoulès, Frédéric
3 Maute, Kurt
3 Mehl, Miriam
3 Pasciak, Joseph E.
3 Rapetti, Francesca
3 Rey, Christian A.
3 Rui, Hongxing
3 Sala, Marzio
3 Sarkis, Marcus V.
3 Shao, Xinping
...and 803 more Authors
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Cited in 92 Serials

70 Journal of Computational Physics
45 SIAM Journal on Scientific Computing
43 Computer Methods in Applied Mechanics and Engineering
30 Applied Mathematics and Computation
29 Journal of Computational and Applied Mathematics
23 Computers & Mathematics with Applications
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12 International Journal for Numerical Methods in Engineering
11 Numerical Algorithms
10 Numerische Mathematik
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 SIAM Journal on Numerical Analysis
8 Numerical Methods for Partial Differential Equations
7 International Journal for Numerical Methods in Fluids
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5 BIT
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5 Mathematical Problems in Engineering
5 Inverse Problems and Imaging
4 Computational Geosciences
3 Applicable Analysis
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3 ETNA. Electronic Transactions on Numerical Analysis
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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3 Computational Methods in Applied Mathematics
3 Journal of Numerical Mathematics
3 Acta Numerica
3 International Journal for Numerical Methods in Biomedical Engineering
2 Mathematical Biosciences
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2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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2 Discrete and Continuous Dynamical Systems. Series S
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