Xiao-Chuan Cai

Orcid: 0000-0003-0296-8640

According to our database1, Xiao-Chuan Cai authored at least 94 papers between 1992 and 2024.

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Bibliography

2024
A One-Dimensional Coarse Preconditioner for Three-Dimensional Unsteady Incompressible Navier-Stokes Flows in Patient-Specific Arteries.
SIAM J. Sci. Comput., 2024

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., 2024

Domain decomposed classification algorithms based on linear discriminant analysis: An optimality theory and applications.
Neurocomputing, 2024

A Collaborative Mixed Reality Platform for the Planning of Vascular Surgery.
Proceedings of the IEEE International Conference on Metaverse Computing, 2024

Mixed Reality Visualization and Interactive Hemodynamic Computation of the Human Brain.
Proceedings of the IEEE International Conference on Metaverse Computing, 2024

2023
A-Stable High-Order Block Implicit Methods for Parabolic Equations.
SIAM J. Numer. Anal., August, 2023

Impact of Pressure Wire on Fractional Flow Reserve and Hemodynamics of the Coronary Arteries: A Computational and Clinical Study.
IEEE Trans. Biomed. Eng., May, 2023

\(\text{PIN}^{\mathcal L}\) : Preconditioned Inexact Newton with Learning Capability for Nonlinear System of Equations.
SIAM J. Sci. Comput., April, 2023

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., 2023

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., 2023

An Interactive Platform for a High Performance Digital Twin of a Human Heart.
Proceedings of the IEEE International Conference on Metaverse Computing, 2023

2022
A Nonlinear Elimination Preconditioned Inexact Newton Algorithm.
SIAM J. Sci. Comput., 2022

A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM.
J. Comput. Phys., 2022

Large eddy simulation of the wind flow in a realistic full-scale urban community with a scalable parallel algorithm.
Comput. Phys. Commun., 2022

Evaluation of cerebrovascular hemodynamics in vascular dementia patients with a new individual computational fluid dynamics algorithm.
Comput. Methods Programs Biomed., 2022

An efficient two-level overlapping domain decomposition method for recovering unsteady sources of 3D parabolic problems.
Comput. Math. Appl., 2022

2021
Nonlinear Preconditioning Strategies for Two-Phase Flows in Porous Media Discretized by a Fully Implicit Discontinuous Galerkin Method.
SIAM J. Sci. Comput., 2021

Summation pollution of principal component analysis and an improved algorithm for location sensitive data.
Numer. Linear Algebra Appl., 2021

A central-line coarse preconditioner for Stokes flows in artery-like domains.
Numer. Algorithms, 2021

A parallel multilevel domain decomposition method for source identification problems governed by elliptic equations.
J. Comput. Appl. Math., 2021

Point-block incomplete LU preconditioning with asynchronous iterations on GPU for multiphysics problems.
Int. J. High Perform. Comput. Appl., 2021

Efficient parallel simulation of hemodynamics in patient-specific abdominal aorta with aneurysm.
Comput. Biol. Medicine, 2021

Fusing 2D and 3D convolutional neural networks for the segmentation of aorta and coronary arteries from CT images.
Artif. Intell. Medicine, 2021

2020
A Multilayer Nonlinear Elimination Preconditioned Inexact Newton Method for Steady-State Incompressible Flow Problems in Three Dimensions.
SIAM J. Sci. Comput., 2020

Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids.
J. Comput. Phys., 2020

2019
A Nonlinear Elimination Preconditioned Inexact Newton Method for Heterogeneous Hyperelasticity.
SIAM J. Sci. Comput., 2019

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, 2019

A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis.
J. Comput. Phys., 2019

Highly parallel space-time domain decomposition methods for parabolic problems.
CCF Trans. High Perform. Comput., 2019

2018
Multilevel Space-Time Additive Schwarz Methods for Parabolic Equations.
SIAM J. Sci. Comput., 2018

Scalability study of an implicit solver for coupled fluid-structure interaction problems on unstructured meshes in 3D.
Int. J. High Perform. Comput. Appl., 2018

Simulation of unsteady blood flows in a patient-specific compliant pulmonary artery with a highly parallel monolithically coupled fluid-structure interaction algorithm.
CoRR, 2018

2017
Two-Level Space-Time Domain Decomposition Methods for Flow Control Problems.
J. Sci. Comput., 2017

A Parallel Finite Element Method for 3D Two-Phase Moving Contact Line Problems in Complex Domains.
J. Sci. Comput., 2017

An efficient finite element method for simulation of droplet spreading on a topologically rough surface.
J. Comput. Phys., 2017

A scalable nonlinear fluid-structure interaction solver based on a Schwarz preconditioner with isogeometric unstructured coarse spaces in 3D.
J. Comput. Phys., 2017

2016
Nonlinear Preconditioning Techniques for Full-Space Lagrange-Newton Solution of PDE-Constrained Optimization Problems.
SIAM J. Sci. Comput., 2016

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., 2016

A Nonlinearly Preconditioned Inexact Newton Algorithm for Steady State Lattice Boltzmann Equations.
SIAM J. Sci. Comput., 2016

Two-Level Space-Time Domain Decomposition Methods for Three-Dimensional Unsteady Inverse Source Problems.
J. Sci. Comput., 2016

Parallel two-level domain decomposition based Jacobi-Davidson algorithms for pyramidal quantum dot simulation.
Comput. Phys. Commun., 2016

2015
A Fully Implicit Method for Lattice Boltzmann Equations.
SIAM J. Sci. Comput., 2015

Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations.
SIAM J. Numer. Anal., 2015

A parallel domain decomposition-based implicit method for the Cahn-Hilliard-Cook phase-field equation in 3D.
J. Comput. Phys., 2015

Two-level space-time domain decomposition methods for unsteady inverse problems.
CoRR, 2015

2014
A Scalable Fully Implicit Compressible Euler Solver for Mesoscale Nonhydrostatic Simulation of Atmospheric Flows.
SIAM J. Sci. Comput., 2014

Implicit Space-Time Domain Decomposition Methods for Stochastic Parabolic Partial Differential Equations.
SIAM J. Sci. Comput., 2014

Parallel Domain Decomposition Methods with Mixed Order Discretization for Fully Implicit Solution of Tracer Transport Problems on the Cubed-Sphere.
J. Sci. Comput., 2014

A Parallel Domain Decomposition Method for 3D Unsteady Incompressible Flows at High Reynolds Number.
J. Sci. Comput., 2014

A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation.
J. Comput. Phys., 2014

2013
A Fully Implicit Compressible Euler Solver for Atmospheric Flows.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Two-Grid LNKSz for Distributed Control of Unsteady Incompressible Flows.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

A Parallel Monolithic Domain Decomposition Method for Blood Flow Simulations in 3D.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

One-Shot Domain Decomposition Methods for Shape Optimization Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

A parallel fully coupled implicit domain decomposition method for numerical simulation of microfluidic mixing in 3D.
Int. J. Comput. Math., 2013

A Scalable Implicit Solver for Phase Field Crystal Simulations.
Proceedings of the 2013 IEEE International Symposium on Parallel & Distributed Processing, 2013

2012
Parallel One-Shot Lagrange-Newton-Krylov-Schwarz Algorithms for Shape Optimization of Steady Incompressible Flows.
SIAM J. Sci. Comput., 2012

A Hybrid Implementation of Two-Level Domain Decomposition Algorithm for Solving Elliptic Equation on CPU/GPUs.
Proceedings of the 13th International Conference on Parallel and Distributed Computing, 2012

Scalable Parallel Algorithms for Boundary Control of Thermally Convective Flows.
Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium Workshops & PhD Forum, 2012

Numerical Design of an Optimal Bypass for a Partially Blocked Artery.
Proceedings of the 26th IEEE International Parallel and Distributed Processing Symposium Workshops & PhD Forum, 2012

2011
Special Section: 2010 Copper Mountain Conference.
SIAM J. Sci. Comput., 2011

Inexact Newton Methods with Restricted Additive Schwarz Based Nonlinear Elimination for Problems with High Local Nonlinearity.
SIAM J. Sci. Comput., 2011

Parallel Two-Grid Semismooth Newton-Krylov-Schwarz Method for Nonlinear Complementarity Problems.
J. Sci. Comput., 2011

Parallel multilevel methods for implicit solution of shallow water equations with nonsmooth topography on the cubed-sphere.
J. Comput. Phys., 2011

A parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere.
J. Comput. Appl. Math., 2011

2010
A Fully Implicit Domain Decomposition Algorithm for Shallow Water Equations on the Cubed-Sphere.
SIAM J. Sci. Comput., 2010

Two-Level Newton and Hybrid Schwarz Preconditioners for Fluid-Structure Interaction.
SIAM J. Sci. Comput., 2010

Scalable parallel methods for monolithic coupling in fluid-structure interaction with application to blood flow modeling.
J. Comput. Phys., 2010

Scalability Studies of an Implicit Shallow Water Solver for the Rossby-Haurwitz Problem.
Proceedings of the High Performance Computing for Computational Science - VECPAR 2010, 2010

2009
A Domain Decomposition Based Parallel Inexact Newton's Method with Subspace Correction for Incompressible Navier-Stokes Equations.
Proceedings of the Computational Science, 2009

2007
Parallel Multilevel Restricted Schwarz Preconditioners with Pollution Removing for PDE-Constrained Optimization.
SIAM J. Sci. Comput., 2007

Parallel Domain Decomposition Methods for Stochastic Elliptic Equations.
SIAM J. Sci. Comput., 2007

Additive Schwarz-based fully coupled implicit methods for resistive Hall magnetohydrodynamic problems.
J. Comput. Phys., 2007

2006
Parallel Full Space SQP Lagrange-Newton-Krylov-Schwarz Algorithms for PDE-Constrained Optimization Problems.
SIAM J. Sci. Comput., 2006

2004
One-level Newton-Krylov-Schwarz algorithm for unsteady non-linear radiation diffusion problem.
Numer. Linear Algebra Appl., 2004

A fully implicit parallel algorithm for simulating the non-linear electrical activity of the heart.
Numer. Linear Algebra Appl., 2004

Domain Decomposition Methods for PDE Constrained Optimization Problems.
Proceedings of the High Performance Computing for Computational Science, 2004

A Combined Linear and Nonlinear Preconditioning Technique for Incompressible Navier-Stokes Equations.
Proceedings of the Applied Parallel Computing, 2004

2003
Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems.
SIAM J. Numer. Anal., 2003

2002
Nonlinearly Preconditioned Inexact Newton Algorithms.
SIAM J. Sci. Comput., 2002

Some observations on the <i>l</i><sup>2</sup> convergence of the additive Schwarz preconditioned GMRES method.
Numer. Linear Algebra Appl., 2002

Parallel Newton-Krylov-Schwarz Method for Solving the Anisotropic Bidomain Equations from the Excitation of the Heart Model.
Proceedings of the Computational Science - ICCS 2002, 2002

2000
Maximum Norm Analysis of Overlapping Nonmatching Grid Discretizations of Elliptic Equations.
SIAM J. Numer. Anal., 2000

1999
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems.
SIAM J. Sci. Comput., 1999

Parallel Newton-Krylov-Schwarz Method for Solving Nonlinear PDEs on Moving Grids.
Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, 1999

1998
Parallel Newton-Krylov-Schwarz Algorithms for the Transonic Full Potential Equation.
SIAM J. Sci. Comput., 1998

1996
Overlapping Domain Decomposition Algorithms for General Sparse Matrices.
Numer. Linear Algebra Appl., 1996

1995
The Use of Pointwise Interpolation in Domain Decomposition Methods with Nonnested Meshes.
SIAM J. Sci. Comput., 1995

1. A Family of Overlapping Schwarz Algorithms for Nonsymmetric and Indefinite Elliptic Problems.
Proceedings of the Domain-Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering, 1995

1994
Multiplicative Schwarz Methods for Parabolic Problems.
SIAM J. Sci. Comput., 1994

A comparison of some domain decomposition and ILU preconditioned iterative methods for nonsymmetric elliptic problems.
Numer. Linear Algebra Appl., 1994

1993
An Optimal Two-Level Overlapping Domain Decomposition Method for Elliptic Problems in Two and Three Dimensions.
SIAM J. Sci. Comput., 1993

Graph Decomposition Techniques for General Sparse Matrices.
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

1992
Domain Decomposition Algorithms for Indefinite Elliptic Problems.
SIAM J. Sci. Comput., 1992


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