Xiao-Chuan Cai - Publications

Affiliations: 
Applied Mathematics University of Colorado, Boulder, Boulder, CO, United States 
Area:
Mathematics, Computer Science, Medical Biophysics

94 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2023 Liu Y, Qi F, Cai XC. An aneurysm-specific preconditioning technique for the acceleration of Newton-Krylov method with application in the simulation of blood flows. International Journal For Numerical Methods in Biomedical Engineering. e3771. PMID 37688432 DOI: 10.1002/cnm.3771  0.433
2022 Laudenschlager S, Cai XC. An inner-outer subcycling algorithm for parallel cardiac electrophysiology simulations. International Journal For Numerical Methods in Biomedical Engineering. e3677. PMID 36573938 DOI: 10.1002/cnm.3677  0.319
2021 Qin S, Wu B, Liu J, Shiu WS, Yan Z, Chen R, Cai XC. Efficient parallel simulation of hemodynamics in patient-specific abdominal aorta with aneurysm. Computers in Biology and Medicine. 136: 104652. PMID 34329862 DOI: 10.1016/j.compbiomed.2021.104652  0.361
2021 Xu L, Chen R, Cai XC. Parallel finite-volume discrete Boltzmann method for inviscid compressible flows on unstructured grids. Physical Review. E. 103: 023306. PMID 33736091 DOI: 10.1103/PhysRevE.103.023306  0.311
2021 Lin Z, Chen R, Gao B, Qin S, Wu B, Liu J, Cai XC. A Highly Parallel Simulation of Patient-specific Hepatic Flows. International Journal For Numerical Methods in Biomedical Engineering. e3451. PMID 33609008 DOI: 10.1002/cnm.3451  0.327
2020 Chen R, Wu B, Cheng Z, Shiu WS, Liu J, Liu L, Wang Y, Wang X, Cai XC. A Parallel Non-nested Two-level Domain Decomposition Method for Simulating Blood Flows in Cerebral Artery of Stroke Patient. International Journal For Numerical Methods in Biomedical Engineering. e3392. PMID 32783371 DOI: 10.1002/cnm.3392  0.439
2020 Luo L, Liu L, Cai X, Keyes DE. Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids Journal of Computational Physics. 409: 109312. DOI: 10.1016/J.Jcp.2020.109312  0.682
2019 Kong F, Kheyfets V, Finol E, Cai XC. Simulation of unsteady blood flows in a patient-specific compliant pulmonary artery with a highly parallel monolithically coupled fluid-structure interaction algorithm. International Journal For Numerical Methods in Biomedical Engineering. e3208. PMID 30989794 DOI: 10.1002/Cnm.3208  0.498
2019 Chen R, Huang J, Cai X. A parallel domain decomposition algorithm for large scale image denoising Inverse Problems and Imaging. 13: 1259-1282. DOI: 10.3934/Ipi.2019055  0.525
2019 Yan Z, Chen R, Zhao Y, Cai X. Numerical aerodynamic simulation of transient flows around car based on parallel Newton–Krylov–Schwarz algorithm Applicable Analysis. 1-13. DOI: 10.1080/00036811.2019.1646903  0.439
2019 Luo L, Shiu W, Chen R, Cai X. A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis Journal of Computational Physics. 399: 108926. DOI: 10.1016/J.Jcp.2019.108926  0.629
2019 Li S, Shao X, Cai X. Highly parallel space-time domain decomposition methods for parabolic problems Ccf Transactions On High Performance Computing. 1: 25-34. DOI: 10.1007/S42514-019-00003-X  0.316
2018 Chen R, Yan Z, Zhao Y, Cai X. Scalable Domain Decomposition Algorithms for Simulation of Flows Passing Full Size Wind Turbine Communications in Computational Physics. 24. DOI: 10.4208/Cicp.Oa-2017-0196  0.381
2018 Kong F, Cai X. Scalability study of an implicit solver for coupled fluid-structure interaction problems on unstructured meshes in 3D: International Journal of High Performance Computing Applications. 32: 207-219. DOI: 10.1177/1094342016646437  0.414
2018 Li S, Shao X, Cai X. Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations Siam Journal On Scientific Computing. 40: A3012-A3037. DOI: 10.1137/17M113808X  0.485
2018 Liao Z, Chen R, Yan Z, Cai X. A parallel implicit domain decomposition algorithm for the large eddy simulation of incompressible turbulent flows on 3D unstructured meshes International Journal For Numerical Methods in Fluids. 89: 343-361. DOI: 10.1002/Fld.4695  0.464
2017 Na O, Cai XC, Xi Y. Corrosion Prediction with Parallel Finite Element Modeling for Coupled Hygro-Chemo Transport into Concrete under Chloride-Rich Environment. Materials (Basel, Switzerland). 10. PMID 28772714 DOI: 10.3390/Ma10040350  0.399
2017 Luo L, Wang X, Cai X. An efficient finite element method for simulation of droplet spreading on a topologically rough surface Journal of Computational Physics. 349: 233-252. DOI: 10.1016/J.Jcp.2017.08.010  0.562
2017 Kong F, Cai X. A scalable nonlinear fluid–structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D Journal of Computational Physics. 340: 498-518. DOI: 10.1016/J.Jcp.2017.03.043  0.61
2017 Luo L, Zhang Q, Wang X, Cai X. A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains Journal of Scientific Computing. 72: 1119-1145. DOI: 10.1007/S10915-017-0391-1  0.629
2016 Liu J, Yan Z, Pu Y, Shiu WS, Wu J, Chen R, Leng X, Qin H, Liu X, Jia B, Song L, Wang Y, Miao Z, Wang Y, Liu L, ... Cai XC, et al. Functional assessment of cerebral artery stenosis: A pilot study based on computational fluid dynamics. Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism. PMID 27702878 DOI: 10.1177/0271678X16671321  0.336
2016 Yang H, Hwang F, Cai X. Nonlinear Preconditioning Techniques for Full-Space Lagrange--Newton Solution of PDE-Constrained Optimization Problems Siam Journal On Scientific Computing. 38: A2756-A2778. DOI: 10.1137/15M104075X  0.765
2016 Huang J, Yang C, Cai X. A Nonlinearly Preconditioned Inexact Newton Algorithm for Steady State Lattice Boltzmann Equations Siam Journal On Scientific Computing. 38: A1701-A1724. DOI: 10.1137/15M1028078  0.593
2016 Kong F, Cai XC. A highly scalable multilevel schwarz method with boundary geometry preserving coarse spaces for 3d elasticity problems on domains with complex geometry Siam Journal On Scientific Computing. 38: C73-C95. DOI: 10.1137/15M1010567  0.612
2016 Yang H, Cai X. Two-Level Space–Time Domain Decomposition Methods for Flow Control Problems Journal of Scientific Computing. 70: 717-743. DOI: 10.1007/S10915-016-0263-0  0.492
2016 Zhao T, Hwang FN, Cai XC. A domain decomposition based Jacobi-Davidson algorithm for quantum dot simulation Lecture Notes in Computational Science and Engineering. 104: 415-423. DOI: 10.1007/978-3-319-18827-0_42  0.622
2015 Deng X, Cai X, Zou J. A parallel space-time domain decomposition method for unsteady source inversion problems Inverse Problems and Imaging. 9: 1069-1091. DOI: 10.3934/Ipi.2015.9.1069  0.486
2015 Li S, Cai X. Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations Siam Journal On Numerical Analysis. 53: 2727-2751. DOI: 10.1137/140993776  0.435
2015 Huang J, Yang C, Cai X. A Fully Implicit Method for Lattice Boltzmann Equations Siam Journal On Scientific Computing. 37: S291-S313. DOI: 10.1137/140975346  0.538
2015 Zheng X, Yang C, Cai X, Keyes D. A parallel domain decomposition-based implicit method for the Cahn–Hilliard–Cook phase-field equation in 3D Journal of Computational Physics. 285: 55-70. DOI: 10.1016/J.Jcp.2015.01.016  0.545
2015 Zhao T, Hwang FN, Cai XC. Parallel two-level domain decomposition based Jacobi-Davidson algorithms for pyramidal quantum dot simulation Computer Physics Communications. DOI: 10.1016/J.Cpc.2016.03.009  0.724
2015 Yang H, Yang C, Cai X. Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere Computers & Fluids. 110: 88-95. DOI: 10.1016/J.Compfluid.2014.05.002  0.523
2015 Hwang FN, Su YC, Cai XC. A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation Computers and Fluids. 110: 96-107. DOI: 10.1016/J.Compfluid.2014.04.005  0.743
2015 Deng X, Cai XC, Zou J. Two-Level Space–Time Domain Decomposition Methods for Three-Dimensional Unsteady Inverse Source Problems Journal of Scientific Computing. DOI: 10.1007/S10915-015-0109-1  0.525
2015 Shiu WS, Hwang FN, Cai XC. Parallel domain decomposition method for finite element approximation of 3D steady state non-Newtonian fluids International Journal For Numerical Methods in Fluids. 78: 502-520. DOI: 10.1002/Fld.4027  0.765
2014 Yan Z, Chen R, Zhao Y, Cai X. A Scalable Numerical Method for Simulating Flows Around High-Speed Train Under Crosswind Conditions Communications in Computational Physics. 15: 944-958. DOI: 10.4208/Cicp.150313.070513S  0.471
2014 Yang C, Cai X. A Scalable Fully Implicit Compressible Euler Solver for Mesoscale Nonhydrostatic Simulation of Atmospheric Flows Siam Journal On Scientific Computing. 36: S23-S47. DOI: 10.1137/130919167  0.555
2014 Cong C, Cai XC, Gustafson K. Implicit space-time domain decomposition methods for stochastic parabolic partial differential equations Siam Journal On Scientific Computing. 36: C1-C24. DOI: 10.1137/12090410X  0.737
2014 Wu Y, Cai X. A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation Journal of Computational Physics. 258: 524-537. DOI: 10.1016/J.Jcp.2013.10.046  0.714
2014 Yang H, Yang C, Cai X. Parallel Domain Decomposition Methods with Mixed Order Discretization for Fully Implicit Solution of Tracer Transport Problems on the Cubed-Sphere Journal of Scientific Computing. 61: 258-280. DOI: 10.1007/S10915-014-9828-Y  0.536
2014 Chen R, Cai X. A parallel two-level domain decomposition based one-shot method for shape optimization problems International Journal For Numerical Methods in Engineering. 99: 945-965. DOI: 10.1002/Nme.4711  0.61
2013 Hwang F, Cai X, Cheng Y, Tsao C. A parallel fully coupled implicit domain decomposition method for numerical simulation of microfluidic mixing in 3D International Journal of Computer Mathematics. 90: 615-629. DOI: 10.1080/00207160.2012.727988  0.752
2013 Chen R, Yan Z, Zhao Y, Cai X. Simulating 3D Flows Passing Wind Turbine Rotors with a Domain Decomposition Method on a Moving Domain Procedia Engineering. 61: 405. DOI: 10.1016/J.Proeng.2013.08.038  0.505
2013 Huang J, Yang C, Cai X. A Fully Implicit Domain Decomposition Algorithm for Discrete-velocity BGK Equation Procedia Engineering. 61: 404. DOI: 10.1016/J.Proeng.2013.08.037  0.552
2013 Yang H, Yang C, Cai X. A Fully Implicit Domain Decomposition Method for Transport Problems on the Cubed-sphere Procedia Engineering. 61: 403. DOI: 10.1016/J.Proeng.2013.08.036  0.521
2013 Hwang F, Su Y, Cai X. A Parallel Adaptive Nonlinear Elimination Preconditioned Inexact Newton for Transonic Full Potential Flow Problems Procedia Engineering. 61: 402. DOI: 10.1016/J.Proeng.2013.08.035  0.738
2013 Chen R, Wu Y, Yan Z, Zhao Y, Cai X. A Parallel Domain Decomposition Method for 3D Unsteady Incompressible Flows at High Reynolds Number Journal of Scientific Computing. 58: 275-289. DOI: 10.1007/S10915-013-9732-X  0.713
2012 Wu Y, Cai X. A Parallel Domain Decomposition Algorithm for Simulating Blood Flow with Incompressible Navier-Stokes Equations with Resistive Boundary Condition Communications in Computational Physics. 11: 1279-1299. DOI: 10.4208/Cicp.060510.150511S  0.703
2012 Chen R, Cai X. Parallel One-Shot Lagrange--Newton--Krylov--Schwarz Algorithms for Shape Optimization of Steady Incompressible Flows Siam Journal On Scientific Computing. 34: B584-B605. DOI: 10.1137/110830769  0.586
2012 Yang H, Prudencio EE, Cai XC. Fully implicit Lagrange-Newton-Krylov-Schwarz algorithms for boundary control of unsteady incompressible flows International Journal For Numerical Methods in Engineering. 91: 644-665. DOI: 10.1002/Nme.4286  0.807
2012 Yang H, Cai X. Parallel fully implicit two-grid methods for distributed control of unsteady incompressible flows International Journal For Numerical Methods in Fluids. 72: 1-21. DOI: 10.1002/Fld.3729  0.592
2011 Tuminaro R, Benzi M, Cai X, Duff I, Elman H, Freund R, Jordan K, Kelley T, Keyes D, Kilmer M, Leyffer S, Manteuffel T, McCormick S, Silvester D, Walker H, et al. Special Section: 2010 Copper Mountain Conference Siam Journal On Scientific Computing. 33: 2685-2685. DOI: 10.1137/Sjoce3000033000005002685000001  0.328
2011 Cai X, Li X. Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity Siam Journal On Scientific Computing. 33: 746-762. DOI: 10.1137/080736272  0.522
2011 Yang C, Cai X. Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere Journal of Computational Physics. 230: 2523-2539. DOI: 10.1016/J.Jcp.2010.12.027  0.56
2011 Wu Y, Cai X. A parallel two-level method for simulating blood flows in branching arteries with the resistive boundary condition Computers & Fluids. 45: 92-102. DOI: 10.1016/J.Compfluid.2010.11.015  0.644
2011 Yang C, Cai X. A parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere Journal of Computational and Applied Mathematics. 235: 5357-5366. DOI: 10.1016/J.Cam.2011.01.016  0.46
2010 Barker AT, Cai XC. Two-level Newton and hybrid chwarz preconditioners for fluid-structure interaction Siam Journal On Scientific Computing. 32: 2395-2417. DOI: 10.1137/090779425  0.652
2010 Yang C, Cao J, Cai X. A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere Siam Journal On Scientific Computing. 32: 418-438. DOI: 10.1137/080727348  0.572
2010 Barker AT, Cai XC. Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling Journal of Computational Physics. 229: 642-659. DOI: 10.1016/J.Jcp.2009.10.001  0.688
2010 Yang H, Cai X. Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear Complementarity Problems Journal of Scientific Computing. 47: 258-280. DOI: 10.1007/S10915-010-9436-4  0.565
2010 Barker AT, Cai XC. Two-level methods for blood flow simulation Lecture Notes in Computational Science and Engineering. 78: 141-148. DOI: 10.1007/978-3-642-11304-8_14  0.615
2009 Jin C, Cai X. A Preconditioned Recycling GMRES Solver for Stochastic Helmholtz Problems Communications in Computational Physics. 342-353. DOI: 10.4208/Cicp.2009.V6.P342  0.536
2009 Cai X, Liu S, Zou J. Parallel overlapping domain decomposition methods for coupled inverse elliptic problems Communications in Applied Mathematics and Computational Science. 4: 1-26. DOI: 10.2140/camcos.2009.4.1  0.352
2009 Barker AT, Cai XC. NKS for fully coupled fluid-structure interaction with application Lecture Notes in Computational Science and Engineering. 70: 275-282. DOI: 10.1007/978-3-642-02677-5_30  0.638
2009 Cai XC. Nonlinear overlapping domain decomposition methods Lecture Notes in Computational Science and Engineering. 70: 217-224. DOI: 10.1007/978-3-642-02677-5_23  0.454
2007 Jin C, Cai X, Li C. Parallel Domain Decomposition Methods for Stochastic Elliptic Equations Siam Journal On Scientific Computing. 29: 2096-2114. DOI: 10.1137/060662381  0.597
2007 Prudencio EE, Cai XC. Parallel multilevel restricted Schwarz preconditioners with pollution removing for PDE-constrained optimization Siam Journal On Scientific Computing. 29: 964-985. DOI: 10.1137/050635663  0.77
2007 Ovtchinnikov S, Dobrian F, Cai XC, Keyes DE. Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems Journal of Computational Physics. 225: 1919-1936. DOI: 10.1016/J.Jcp.2007.02.027  0.797
2007 Hwang F, Cai X. A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms Computer Methods in Applied Mechanics and Engineering. 196: 1603-1611. DOI: 10.1016/J.Cma.2006.03.019  0.749
2006 Prudencio EE, Byrd R, Cai X. Parallel Full Space SQP Lagrange--Newton--Krylov--Schwarz Algorithms for PDE-Constrained Optimization Problems Siam Journal On Scientific Computing. 27: 1305-1328. DOI: 10.1137/040602997  0.814
2005 Hwang F, Cai X. A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier–Stokes equations Journal of Computational Physics. 204: 666-691. DOI: 10.1016/J.Jcp.2004.10.025  0.773
2005 Cai X, Marcinkowski L, Vassilevski PS. An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems Applications of Mathematics. 50: 247-275. DOI: 10.1007/S10492-005-0016-0  0.455
2004 Yue X, Hwang FN, Shandas R, Cai XC. Simulation of branching blood flows on parallel computers. Biomedical Sciences Instrumentation. 40: 325-30. PMID 15133979  0.735
2004 Ovtchinnikov S, Cai XC. One-level Newton-Krylov-Schwarz algorithm for unsteady non-linear radiation diffusion problem Numerical Linear Algebra With Applications. 11: 867-881. DOI: 10.1002/Nla.386  0.778
2004 Murillo M, Cai X. A fully implicit parallel algorithm for simulating the non-linear electrical activity of the heart Numerical Linear Algebra With Applications. 11: 261-277. DOI: 10.1002/Nla.381  0.729
2003 Cai XC, Keyes DE. Nonlinearly preconditioned inexact Newton algorithms Siam Journal On Scientific Computing. 24: 183-200. DOI: 10.1137/S106482750037620X  0.558
2003 Cai X, Dryja M, Sarkis M. Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems Siam Journal On Numerical Analysis. 41: 1209-1231. DOI: 10.1137/S0036142901389621  0.475
2002 Cai X, Zou J. Some observations on thel2 convergence of the additive Schwarz preconditioned GMRES method Numerical Linear Algebra With Applications. 9: 379-397. DOI: 10.1002/Nla.280  0.43
2002 Yao DTC, de Oliveira-Filho WL, Cai X, Znidarcic D. Numerical solution for consolidation and desiccation of soft soils International Journal For Numerical and Analytical Methods in Geomechanics. 26: 139-161. DOI: 10.1002/Nag.196  0.478
2002 Cai XC, Keyes DE, Marcinkowski L. Non-linear additive Schwarz preconditioners and application in computational fluid dynamics International Journal For Numerical Methods in Fluids. 40: 1463-1470. DOI: 10.1002/Fld.404  0.551
2000 Cai X, Mathew TP, Sarkis MV. Maximum Norm Analysis of Overlapping Nonmatching Grid Discretizations of Elliptic Equations Siam Journal On Numerical Analysis. 37: 1709-1728. DOI: 10.1137/S0036142998348741  0.504
1999 Cai X, Sarkis M. A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems Siam Journal On Scientific Computing. 21: 792-797. DOI: 10.1137/S106482759732678X  0.467
1999 Cai X, Dryja M, Sarkis M. Overlapping Nonmatching Grid Mortar Element Methods for Elliptic Problems Siam Journal On Numerical Analysis. 36: 581-606. DOI: 10.1137/S0036142997323582  0.463
1998 Cai XC, Gropp WD, Keyes DE, Melvin RG, Young DP. Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation Siam Journal On Scientific Computing. 19: 246-265. DOI: 10.1137/S1064827596304046  0.61
1995 Cai X. The Use of Pointwise Interpolation in Domain Decomposition Methods with Nonnested Meshes Siam Journal On Scientific Computing. 16: 250-256. DOI: 10.1137/0916016  0.546
1994 Cai X. Multiplicative Schwarz methods for parabolic problems Siam Journal On Scientific Computing. 15: 587-603. DOI: 10.1137/0915039  0.443
1994 Bialecki B, Cai X. $H^1 $-Norm Error Bounds for Piecewise Hermite Bicubic Orthogonal Spline Collocation Schemes for Elliptic Boundary Value Problems Siam Journal On Numerical Analysis. 31: 1128-1146. DOI: 10.1137/0731059  0.361
1994 Cai X‐, Gropp WD, Keyes DE. A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems Numerical Linear Algebra With Applications. 1: 477-504. DOI: 10.1002/Nla.1680010504  0.498
1993 Cai X. An Optimal Two-Level Overlapping Domain Decomposition Method for Elliptic Problems in Two and Three Dimensions Siam Journal On Scientific Computing. 14: 239-247. DOI: 10.1137/0914014  0.599
1993 Cai X, Widlund OB. Multiplicative Schwarz Algorithms for Some Nonsymmetric and Indefinite Problems Siam Journal On Numerical Analysis. 30: 936-952. DOI: 10.1137/0730049  0.36
1992 Cai X, Widlund OB. Domain Decomposition Algorithms for Indefinite Elliptic Problems Siam Journal On Scientific and Statistical Computing. 13: 243-258. DOI: 10.1137/0913013  0.372
1992 Xu J, Cai X. A preconditioned GMRES method for nonsymmetric or indefinite problems Mathematics of Computation. 59: 311-311. DOI: 10.1090/S0025-5718-1992-1134741-1  0.346
1992 Cai XC, Gropp WD, Keyes DE. Convergence rate estimate for a domain decomposition method Numerische Mathematik. 61: 153-169. DOI: 10.1007/Bf01385503  0.481
1991 Cai XC. Additive Schwarz algorithms for parabolic convection-diffusion equations Numerische Mathematik. 60: 41-61. DOI: 10.1007/Bf01385713  0.571
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