Li Luo’s Publications                                                back to homepage

(27) X. Zhang, L. Luo, Y. Li, and X.-C. Cai, A fully implicit method for numerical simulation of blood flows with incompressible Navier-Stokes equations with slip and penetration boundary conditions, to appear.

(26) J. Zhang, L. Luo, X.-P. Wang, A fully-decoupled second-order-in-time and unconditionally energy stable scheme for a phase-field model of two phase flow with variable density, submitted.

(25) L. Luo, Q. Zhang, H. Liu, J. Zhang, X.-P. Wang, A numerical study of two-phase flows in complex domain with a generalized Navier slip and penetration boundary condition on permeable boundaries, submitted.

(24) Y. Gong, L. Luo, X.-C. Cai, Stagnation-shortening inexact Newton method based on unsupervised learning for highly nonlinear hyperelasticity problems on three-dimensional unstructured meshes, submitted.

(23) J. Tu, H. Yang, R. Chen, L. Luo, Fully implicit bound-preserving discontinuous Galerkin algorithm with unstructured block preconditioners for multiphase flows in porous media, Adv. Water Resour., 194 (2024) 104844.

(22) J.-Y. Wang, Y. Gong, J. Zhou, F. Qi, Y. Liu, R. Chen, X. Wang, L. Luo, and X.-C. Cai, A collaborative mixed reality platform for the planning of vascular surgery, 2024 IEEE International Conference on Metaverse Computing, Networking and Applications (MetaCom).

(21) F. Qi, Y. Liu, Y. Gong, J.-Y. Wang, J. Zhou, R. Chen, X. Wang, L. Luo, and X.-C. Cai, Mixed reality visualization and interactive hemodynamic computation of the human brain, 2024 IEEE International Conference on Metaverse Computing, Networking and Applications (MetaCom).

(20) Y. Gong, F. Qi, Y. Liu, J.-Y. Wang, T. Ma, Z. Cheng, Y. Jiang, R. Chen, X. Wang, L. Luo, and X.-C. Cai, An Interactive Platform for a High Performance Digital Twin of the Human Heart, 2023 IEEE International Conference on Metaverse Computing, Networking and Applications (MetaCom). 

(19) L. Luo and X.-C. Cai, PIN-L: Preconditioned inexact Newton with learning capability for nonlinear system of equations, SIAM Journal on Scientific Computing 45 (2023) A849-A871.

(18) L. Liu, F.-N. Hwang, L. Luo, X.-C. Cai, and D. E. Keyes, A nonlinear elimination preconditioned inexact Newton algorithm, SIAM Journal on Scientific Computing, 44 (2022), A1579-A1605.

(17) L. Luo, X.-C. Cai, and D. E. Keyes, A parallel adaptive finite element method for modeling a deformable droplet travelling in air, Proceedings of Domain Decomposition Methods in Science and Engineering XXVI, Springer 145 (2022), 165-172.

(16) L. Luo, X.-C. Cai, and D. E. Keyes, Nonlinear preconditioning for two-phase flows, Proceedings of Fifth EAGE Workshop on High Performance Computing for Upstream, Sep 2021.

(15) L. Luo,  X.-C. Cai, and D. E. Keyes, Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous Galerkin method, SIAM Journal on Scientific Computing, (2021), S317–S344. 

(14) L. Luo, X.-C. Cai, Z. Yan, L. Xu, and D. E. Keyes, A multilayer nonlinear elimination preconditioned inexact Newton method for steady-state incompressible flow problems in three dimensions, SIAM Journal on Scientific Computing, 42 (2020), B1404–B1428.

(13) X. Li, Q. Du, L. Luo, and X.-P. Wang, An energy-stable scheme for a simple fluid-particle interaction problem, Journal of Computational Physics (2020) 109850.

(12) L. Luo, L. Liu, X.-C. Cai, D. E. Keyes, Fully implicit hybrid two-level domain decomposition algorithms for two-phase flows in porous media on 3D unstructured grids, Journal of Computational Physics 409 (2020) 109312 . 

(11) L. Luo, W.-S. Shiu, R. Chen, and X.-C. Cai, A nonlinear elimination preconditioned inexact Newton method for blood flow problems in human artery with stenosis, Journal of Computational Physics 399 (2019) 108926. 

(10)  L. Luo, R. Chen, X.-C. Cai, and D. E. Keyes, A nonlinear elimination preconditioned inexact Newton algorithm for steady state incompressible flow problems on 3D unstructured meshes, Lecture Notes in Computational Science and Engineering, Proceedings of Domain Decomposition Methods in Science and Engineering XXV, Springer, 138 (2020), 441-449.

(9) L. Wu,  R. Chen, L. Luo, Z. Yan, Z. Liao, L. Chi, and J. Chen, A block Gauss-Seidel/Jacobi preconditioner for heterogeneous many-core architecture (in Chinese), Chinese Journal of Computers (2018) 41:118.

(8) X. Zhang, L. Luo, and X.-P. Wang, A numerical study of fluid-particle interaction with slip boundary condition, Numerical Mathematics: Theory, Methods and Applications, 11 (2018), pp. 795-809.

(7) L. Luo, X.-P. Wang, and X.-C. Cai, An efficient finite element method for simulation of droplet spreading on a topologically rough surface, Journal of Computational Physics 349 (2017), pp. 233-252.

(6) L. Luo, Q. Zhang, X.-P. Wang, and X.-C. Cai, A parallel finite element method for 3D two-phase moving contact line problems in complex domains, Journal of Scientific Computing 72 (2017), pp. 1119-1145.

(5) L. Luo, Q. Zhang, X.-P. Wang, and X.-C. Cai, A parallel two-phase flow solver on unstructured mesh in 3D, Lecture Notes in Computational Science and Engineering, Proceedings of Domain Decomposition Methods in Science and Engineering XXIII, Springer 116 (2017), pp. 379-387.

(4) L. Luo and X.-C. Cai, Parallel matrix-free Newton-Krylov-multigrid methods and applications in fluid dynamics, 2014 National Annual Conference on High Performance Computing (HPC China2014).

(3) L. Luo, Y. Zhao, and X.-C. Cai, A hybrid implementation of two-level domain decomposition algorithm for solving elliptic equation on CPU/GPUs, Proceedings of 13^th International Conference on Parallel and Distributed Computing, Applications and Technologies  (IEEE-PDCAT2012).

(2) L. Luo, C. Yang, Y. Zhao, and X.-C. Cai, A scalable hybrid algorithm based on domain decomposition and algebraic multigrid for solving partial differential equations on a cluster of CPU/GPUs, Proceedings of 2nd International Workshop on GPUs and Scientific Applications. In conjunction with 2011 International Conference on Parallel Architectures and Compilation Techniques (PACT 2011).

(1) L. Luo, J. Feng, X. Tang, and L. Xiang, High resolution entropy stable schemes for hyperbolic conservation laws (in Chinese), Chinese Journal of Computational Physics, 27 (2010), pp. 671-67A Fully Implicit Method for Numerical Simulation of Blood Flows with Incompressible Navier-Stokes Equations with Slip and Penetration Boundary Conditions