Publications in VIVO

Co-author Network

Cai, Xiao-Chuan

Professor Emerita/Emeritus

Positions

Professor Emerita/Emeritus, Computer Science

Research Areas

Publications

selected publications

conference proceeding
- A NONLINEAR ELIMINATION PRECONDITIONED INEXACT NEWTON METHOD FOR HETEROGENEOUS HYPERELASTICITY. SIAM Journal on Scientific Computing. S390-S408. 2018
- A Nonlinear Elimination Preconditioned Newton Method with Applications in Arterial Wall Simulation. 353-361. 2018
- A Parallel Two-Phase Flow Solver on Unstructured Mesh in 3D. Lecture Notes in Computational Science and Engineering. 379-387. 2015
- Simulation of Blood Flow in Patient-specific Cerebral Arteries with a Domain Decomposition Method. Lecture Notes in Computational Science and Engineering. 407-415. 2015
- A Domain Decomposition Based Jacobi-Davidson Algorithm for Quantum Dot Simulation. Lecture Notes in Computational Science and Engineering. 415-423. 2013
- Simulating Flows Passing a Wind Turbine with a Fully Implicit Domain Decomposition Method. Lecture Notes in Computational Science and Engineering. 453-460. 2013
- Simulation of Cavity Flows by an Implicit Domain Decomposition Algorithm for the Lattice Boltzmann Equations. Lecture Notes in Computational Science and Engineering. 275-283. 2013
- A hybrid implementation of two-level domain decomposition algorithm for solving elliptic equation on CPU/GPUs. 474-477. 2012
- NKS Method for the Implicit Solution of a Coupled Allen-Cahn/Cahn-Hilliard System. Lecture Notes in Computational Science and Engineering. 819-827. 2012
- Numerical design of an optimal bypass for a partially blocked artery. IEEE International Symposium on Parallel & Distributed Processing, Workshops and Phd Forum : [proceedings]. IEEE International Symposium on Parallel & Distributed Processing, Workshops and Phd Forum. 1449-1456. 2012
- Scalable parallel algorithms for boundary control of thermally convective flows. IEEE International Symposium on Parallel & Distributed Processing, Workshops and Phd Forum : [proceedings]. IEEE International Symposium on Parallel & Distributed Processing, Workshops and Phd Forum. 1387-1396. 2012
- Scalability Studies of an Implicit Shallow Water Solver for the Rossby-Haurwitz Problem. Lecture Notes in Artificial Intelligence. 172-+. 2010
- Domain Decomposition Methods for a Complementarity Problem. Lecture Notes in Computational Science and Engineering. 447-+. 2009
- Newton-Krylov-Schwarz Method for a Spherical Shallow Water Model. Lecture Notes in Computational Science and Engineering. 149-+. 2009
- Two-Level Methods for Blood Flow Simulation. Lecture Notes in Computational Science and Engineering. 141-+. 2009
- Two-Level Multiplicative Domain Decomposition Algorithm for Recovering the Lame Coefficient in Biological Tissues. Lecture Notes in Computational Science and Engineering. 165-+. 2009
- Scalability studies of two-level domain decomposition algorithms for systems of nonlinear PDEs. 1024-1030. 2009
- A Domain Decomposition Based Parallel Inexact Newton's Method with Subspace Correction for Incompressible Navier-Stokes Equations. Lecture Notes in Artificial Intelligence. 795-+. 2009
- NKS for Fully Coupled Fluid-Structure Interaction with Application. Lecture Notes in Computational Science and Engineering. 275-282. 2008
- Nonlinear Overlapping Domain Decomposition Methods. Lecture Notes in Computational Science and Engineering. 217-224. 2008
- Scalable parallel algorithms for multi-component problems. 6-8. 2007
- Improving robustness and parallel scalability of Newton method through nonlinear preconditioning. Lecture Notes in Computational Science and Engineering. 201-208. 2003
- Parallel performance of some two-level ASPIN algorithms. Lecture Notes in Computational Science and Engineering. 639-646. 2003
- Parallel two-level methods for three-dimensional transonic compressible flow simulations on unstructured meshes. 89-96. 1999
- Newton-Krylov-Schwarz: An implicit solver for CFD. 387-402. 1995
- Schwarz methods for the unsteady compressible Navier-Stokes equations on unstructured meshes. 453-460. 1995
- A FAMILY OF OVERLAPPING SCHWARZ ALGORITHMS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC PROBLEMS. 1-19. 1994
journal article
- Evaluation of cerebrovascular hemodynamics in vascular dementia patients with a new individual computational fluid dynamics algorithm. Computer Methods and Programs in Biomedicine. 2021
- Summation pollution of principal component analysis and an improved algorithm for location sensitive data. Numerical Linear Algebra with Applications. 2021
- A highly parallel simulation of patient-specific hepatic flows. International Journal for Numerical Methods in Biomedical Engineering. 2021
- 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. 2020
- A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis. Journal of Computational Physics. 2019
- A PARALLEL DOMAIN DECOMPOSITION ALGORITHM FOR LARGE SCALE IMAGE DENOISING. Inverse Problems and Imaging. 1259-1282. 2019
- Numerical aerodynamic simulation of transient flows around car based on parallel Newton-Krylov-Schwarz algorithm. Applicable Analysis: an international journal. 1501-1513. 2019
- 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. 2019
- 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. 343-361. 2019
- Scalable Domain Decomposition Algorithms for Simulation of Flows Passing Full Size Wind Turbine. Communications in computational physics. 1503-1522. 2018
- An efficient parallel simulation of unsteady blood flows in patient-specific pulmonary artery. International Journal for Numerical Methods in Biomedical Engineering. 2018
- Scalability study of an implicit solver for coupled fluid-structure interaction problems on unstructured meshes in 3D. International Journal of High Performance Computing Applications. 207-219. 2018
- Dedicated to Olof B. Widlund on the occasion of his 80th birthday. Electronic Transactions on Numerical Analysis. VII-VIII. 2018
- MULTILEVEL SPACE-TIME ADDITIVE SCHWARZ METHODS FOR PARABOLIC EQUATIONS. SIAM Journal on Scientific Computing. A3012-A3037. 2018
- An efficient finite element method for simulation of droplet spreading on a topologically rough surface. Journal of Computational Physics. 233-252. 2017
- A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains. Journal of Scientific Computing. 1119-1145. 2017
- A scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D. Journal of Computational Physics. 498-518. 2017
- Functional assessment of cerebral artery stenosis: A pilot study based on computational fluid dynamics. Journal of Cerebral Blood Flow and Metabolism. 2567-2576. 2017
- Corrosion Prediction with Parallel Finite Element Modeling for Coupled Hygro-Chemo Transport into Concrete under Chloride-Rich Environment. Materials. 2017
- Two-Level Space-Time Domain Decomposition Methods for Flow Control Problems. Journal of Scientific Computing. 717-743. 2017
- Parallel two-level domain decomposition based Jacobi-Davidson algorithms for pyramidal quantum dot simulation. Computer Physics Communications. 74-81. 2016
- Two-Level Space-Time Domain Decomposition Methods for Three-Dimensional Unsteady Inverse Source Problems. Journal of Scientific Computing. 860-882. 2016
- Algorithm development for extreme-scale computing. National Science Review. 26-27. 2016
- 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. C73-C95. 2016
- A NONLINEARLY PRECONDITIONED INEXACT NEWTON ALGORITHM FOR STEADY STATE LATTICE BOLTZMANN EQUATIONS. SIAM Journal on Scientific Computing. A1701-A1724. 2016
- NONLINEAR PRECONDITIONING TECHNIQUES FOR FULL-SPACE LAGRANGE-NEWTON SOLUTION OF PDE-CONSTRAINED OPTIMIZATION PROBLEMS. SIAM Journal on Scientific Computing. A2756-A2778. 2016
- A PARALLEL SPACE-TIME DOMAIN DECOMPOSITION METHOD FOR UNSTEADY SOURCE INVERSION PROBLEMS. Inverse Problems and Imaging. 1069-1091. 2015
- Parallel domain decomposition method for finite element approximation of 3D steady state non-Newtonian fluids. International Journal for Numerical Methods in Fluids. 502-520. 2015
- A parallel adaptive nonlinear elimination preconditioned inexact Newton method for transonic full potential equation. Computers and Fluids. 96-107. 2015
- Mixed order discretization based two-level Schwarz preconditioners for a tracer transport problem on the cubed-sphere. Computers and Fluids. 88-95. 2015
- A parallel domain decomposition-based implicit method for the Cahn-Hilliard-Cook phase-field equation in 3D. Journal of Computational Physics. 55-70. 2015
- A FULLY IMPLICIT METHOD FOR LATTICE BOLTZMANN EQUATIONS. SIAM Journal on Scientific Computing. S291-S313. 2015
- CONVERGENCE ANALYSIS OF TWO-LEVEL SPACE-TIME ADDITIVE SCHWARZ METHOD FOR PARABOLIC EQUATIONS. SIAM Journal on Numerical Analysis. 2727-2751. 2015
- Parallel Domain Decomposition Methods with Mixed Order Discretization for Fully Implicit Solution of Tracer Transport Problems on the Cubed-Sphere. Journal of Scientific Computing. 258-280. 2014
- A parallel two-level domain decomposition based one-shot method for shape optimization problems. International Journal for Numerical Methods in Engineering. 945-965. 2014
- A Scalable Numerical Method for Simulating Flows Around High-Speed Train Under Crosswind Conditions. Communications in computational physics. 944-958. 2014
- A Parallel Domain Decomposition Method for 3D Unsteady Incompressible Flows at High Reynolds Number. Journal of Scientific Computing. 275-289. 2014
- A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation. Journal of Computational Physics. 524-537. 2014
- A SCALABLE FULLY IMPLICIT COMPRESSIBLE EULER SOLVER FOR MESOSCALE NONHYDROSTATIC SIMULATION OF ATMOSPHERIC FLOWS. SIAM Journal on Scientific Computing. S23-S47. 2014
- IMPLICIT SPACE-TIME DOMAIN DECOMPOSITION METHODS FOR STOCHASTIC PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS. SIAM Journal on Scientific Computing. C1-C24. 2014
- Parallel fully implicit two-grid methods for distributed control of unsteady incompressible flows. International Journal for Numerical Methods in Fluids. 1-21. 2013
- A parallel fully coupled implicit domain decomposition method for numerical simulation of microfluidic mixing in 3D. International Journal of Computer Mathematics. 615-629. 2013
- Fully implicit Lagrange-Newton-Krylov-Schwarz algorithms for boundary control of unsteady incompressible flows. International Journal for Numerical Methods in Engineering. 644-665. 2012
- A Parallel Domain Decomposition Algorithm for Simulating Blood Flow with Incompressible Navier-Stokes Equations with Resistive Boundary Condition. Communications in computational physics. 1279-1299. 2012
- PARALLEL ONE-SHOT LAGRANGE-NEWTON-KRYLOV-SCHWARZ ALGORITHMS FOR SHAPE OPTIMIZATION OF STEADY INCOMPRESSIBLE FLOWS. SIAM Journal on Scientific Computing. B584-B605. 2012
- A parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere. Journal of Computational and Applied Mathematics. 5357-5366. 2011
- A parallel two-level method for simulating blood flows in branching arteries with the resistive boundary condition. Computers and Fluids. 92-102. 2011
- Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear Complementarity Problems. Journal of Scientific Computing. 258-280. 2011
- Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere. Journal of Computational Physics. 2523-2539. 2011
- INEXACT NEWTON METHODS WITH RESTRICTED ADDITIVE SCHWARZ BASED NONLINEAR ELIMINATION FOR PROBLEMS WITH HIGH LOCAL NONLINEARITY. SIAM Journal on Scientific Computing. 746-762. 2011
- Numerical Simulation of Three-dimensional Blood Flows Using Domain Decomposition Method on Parallel Computer. Journal- Chinese Society of Mechanical Engineers. 199-208. 2010
- Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling. Journal of Computational Physics. 642-659. 2010
- A FULLY IMPLICIT DOMAIN DECOMPOSITION ALGORITHM FOR SHALLOW WATER EQUATIONS ON THE CUBED-SPHERE. SIAM Journal on Scientific Computing. 418-438. 2010
- TWO-LEVEL NEWTON AND HYBRID SCHWARZ PRECONDITIONERS FOR FLUID-STRUCTURE INTERACTION. SIAM Journal on Scientific Computing. 2395-2417. 2010
- TWO-LEVEL NONLINEAR ELIMINATION BASED PRECONDITIONERS FOR INEXACT NEWTON METHODS WITH APPLICATION IN SHOCKED DUCT FLOWCALCULATION. Electronic Transactions on Numerical Analysis. 239-251. 2010
- A Preconditioned Recycling GMRES Solver for Stochastic Helmholtz Problems. Communications in computational physics. 342-353. 2009
- PARALLEL OVERLAPPING DOMAIN DECOMPOSITION METHODS FOR COUPLED INVERSE ELLIPTIC PROBLEMS. Communications in Applied Mathematics and Computational Science. 1-26. 2009
- Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems. Journal of Computational Physics. 1919-1936. 2007
- A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms. Computer Methods in Applied Mechanics and Engineering. 1603-1611. 2007
- Parallel domain decomposition methods for stochastic elliptic equations. SIAM Journal on Scientific Computing. 2096-2114. 2007
- Parallel multilevel restricted schwarz preconditioners with pollution removing for pde-constrained optimization. SIAM Journal on Scientific Computing. 964-985. 2007
- A combined linear and nonlinear preconditioning technique for incompressible Navier-Stokes equations. Lecture Notes in Artificial Intelligence. 313-322. 2006
- Parallel finite element method for coupled chloride moisture diffusion in concrete. International Journal of Numerical Analysis and Modeling. 481-503. 2006
- Parallel full space SQP Lagrange-Newton-Krylov-Schwarz algorithms for PDE-constrained optimization problems. SIAM Journal on Scientific Computing. 1305-1328. 2006
- Parallel fully coupled Schwarz preconditioners for saddle point problems. Electronic Transactions on Numerical Analysis. 146-162. 2006
- A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations. Journal of Computational Physics. 666-691. 2005
- Domain decomposition methods for PDE constrained optimization problems. Lecture Notes in Artificial Intelligence. 569-582. 2005
- One-level Newton-Krylov-Schwarz algorithm for unsteady non-linear radiation diffusion problem. Numerical Linear Algebra with Applications. 867-881. 2004
- A fully implicit parallel algorithm for simulating the non-linear electrical activity of the heart. Numerical Linear Algebra with Applications. 261-277. 2004
- Simulation of branching blood flows on parallel computers. ISA TECH/EXPO Technology Update Conference Proceedings. 325-330. 2004
- Restricted additive Schwarz preconditioners with harmonic overlap for symmetric positive definite linear systems. SIAM Journal on Numerical Analysis. 1209-1231. 2003
- Non-linear additive Schwarz preconditioners and application in computational fluid dynamics. International Journal for Numerical Methods in Fluids. 1463-1470. 2002
- Nonlinearly preconditioned inexact Newton algorithms. SIAM Journal on Scientific Computing. 183-200. 2002
- Some observations on the l(2) convergence of the additive Schwarz preconditioned GMRES method. Numerical Linear Algebra with Applications. 379-397. 2002
- Numerical solution for consolidation and desiccation of soft soils. International Journal for Numerical and Analytical Methods in Geomechanics. 139-161. 2002
- Parallel Newton-Krylov-Schwarz method for solving the anisotropic bidomain equations from the excitation of the heart model. Lecture Notes in Artificial Intelligence. 533-542. 2002
- Maximum norm analysis of overlapping nonmatching grid discretizations of elliptic equations. SIAM Journal on Numerical Analysis. 1709-1728. 2000
- A restricted additive Schwarz preconditioner for general sparse linear systems. SIAM Journal on Scientific Computing. 792-797. 1999
- Overlapping nonmatching grid mortar element methods for elliptic problems. SIAM Journal on Numerical Analysis. 581-606. 1999
- Parallel Newton-Krylov-Schwarz algorithms for the transonic full potential equation. SIAM Journal on Scientific Computing. 246-265. 1998
- Overlapping domain decomposition algorithms for general sparse matrices. Numerical Linear Algebra with Applications. 221-237. 1996
- THE USE OF POINTWISE INTERPOLATION IN DOMAIN DECOMPOSITION METHODS WITH NONNESTED MESHES. SIAM Journal on Scientific Computing. 250-256. 1995
- A Comparison of Some Domain Decomposition and ILU Preconditioned Iterative Methods for Nonsymmetric Elliptic Problems. Numerical Linear Algebra with Applications. 477-504. 1994
- H(1)-NORM ERROR-BOUNDS FOR PIECEWISE HERMITE BICUBIC ORTHOGONAL SPLINE COLLOCATION SCHEMES FOR ELLIPTIC BOUNDARY-VALUE-PROBLEMS. SIAM Journal on Numerical Analysis. 1128-1146. 1994
- MULTIPLICATIVE SCHWARZ METHODS FOR PARABOLIC PROBLEMS. SIAM Journal on Scientific Computing. 587-603. 1994

Teaching

courses taught

CSCI 2820 - Linear Algebra with Computer Science Applications
Primary Instructor - Fall 2018
Introduces the fundamentals of linear algebra in the context of computer science applications. Includes vector spaces, matrices, linear systems, and eigenvalues. Includes the basics of floating point computation and numerical linear algebra. Same as CSPB 2820.
CSCI 5606 - Principles of Numerical Computation
Primary Instructor - Fall 2018
Highlights computer arithmetic, solution of linear systems, least-squares approximations, nonlinear algebraic equations, interpolation, and quadrature. Recommended prerequisites: CSCI 3656 and three semesters of calculus or equivalent.
CSCI 5676 - Numerical Optimization
Primary Instructor - Spring 2018
Focuses on computational methods for solution of unconstrained and some constrained optimization problems, nonlinear least-squares problems and systems of nonlinear equations. Formerly CSCI 6676.

Background

education and training

awards and honors

Fellow, conferred by Society for Industrial and Applied Mathematics, 2016
NSF Young Investigator, conferred by National Science Foundation, 1994

International Activities

geographic focus

http://dbpedia.org/page/Hong_Kong Geographic Region
http://dbpedia.org/page/Taiwan Geographic Region
China Country

Other Profiles

ORCID iD

http://orcid.org/0000-0003-0296-8640