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Stagnation-shortening inexact Newton algorithm based on unsupervised learning for highly nonlinear hyperelasticity problems on three-dimensional unstructured meshes Journal article
Yujie Gong, Li Luo, Xiao-Chuan Cai. Stagnation-shortening inexact Newton algorithm based on unsupervised learning for highly nonlinear hyperelasticity problems on three-dimensional unstructured meshes[J]. SIAM Journal on Scientific Computing, 2024.
Authors:  Yujie Gong;  Li Luo;  Xiao-Chuan Cai
Favorite |   IF:3.0/3.2 | Submit date：2024/08/15
A ONE-DIMENSIONAL COARSE PRECONDITIONER FOR THREE-DIMENSIONAL UNSTEADY INCOMPRESSIBLE NAVIER-STOKES FLOWS IN PATIENT-SPECIFIC ARTERIES Journal article
Liu, Yingzhi, Qi, Fenfen, Cai, Xiao Chuan. A ONE-DIMENSIONAL COARSE PRECONDITIONER FOR THREE-DIMENSIONAL UNSTEADY INCOMPRESSIBLE NAVIER-STOKES FLOWS IN PATIENT-SPECIFIC ARTERIES[J]. SIAM Journal on Scientific Computing, 2024, 46(2), S1-S23.
Authors:  Liu, Yingzhi;  Qi, Fenfen;  Cai, Xiao Chuan
Favorite | TC[WOS]:0 TC[Scopus]:1  IF:3.0/3.2 | Submit date：2024/06/05
Blood Flows In Artery  Fully Implicit Finite Element Method  Parameterized One-dimensional Coarse Problem  Two-level Schwarz Method  Unsteady Incompressible Navier-stokes Problem With Resistance Boundary Conditions  
PINL: PRECONDITIONED INEXACT NEWTON WITH LEARNING CAPABILITY FOR NONLINEAR SYSTEM OF EQUATIONS Journal article
Luo,Li, Cai,Xiao Chuan. PINL: PRECONDITIONED INEXACT NEWTON WITH LEARNING CAPABILITY FOR NONLINEAR SYSTEM OF EQUATIONS[J]. SIAM Journal on Scientific Computing, 2023, 45(2), A849-A871.
Authors:  Luo,Li;  Cai,Xiao Chuan
Favorite | TC[WOS]:1 TC[Scopus]:2  IF:3.0/3.2 | Submit date：2023/08/03
Incompressible Navier-stokes Equations  Inexact Newton  Learning-based Nonlinear Preconditioning  Nonlinear System Of Algebraic Equations  Principal Component Analysis  
AN ORTHOGONALIZATION-FREE PARALLELIZABLEFRAMEWORK FOR ALL-ELECTRON CALCULATIONS INDENSITY FUNCTIONAL THEORY Journal article
Bin Gao, Guanghui HU, Yang Kuang, Xin Liu. AN ORTHOGONALIZATION-FREE PARALLELIZABLEFRAMEWORK FOR ALL-ELECTRON CALCULATIONS INDENSITY FUNCTIONAL THEORY[J]. SIAM Journal on Scientific Computing, 2022, 44(3), B723-B745.
Authors:  Bin Gao;  Guanghui HU;  Yang Kuang;  Xin Liu
Favorite | TC[WOS]:6 TC[Scopus]:8  IF:3.0/3.2 | Submit date：2022/08/30
Density Functional Theory  All-electron Calculations  Total Energy Minimization  Orthogonalization-free  Scalability  
NEW OPTIMIZED ROBIN−ROBIN DOMAIN DECOMPOSITION METHODS USING KRYLOV SOLVERS FOR THE STOKES−DARCY SYSTEM Journal article
Liu, Yingzhi, Boubendir, Yassine, He, Xiaoming, He, Yinnian. NEW OPTIMIZED ROBIN−ROBIN DOMAIN DECOMPOSITION METHODS USING KRYLOV SOLVERS FOR THE STOKES−DARCY SYSTEM[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 44(4), B1068--B1095.
Authors:  Liu, Yingzhi;  Boubendir, Yassine;  He, Xiaoming;  He, Yinnian
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:3.0/3.2 | Submit date：2023/01/30
Domain Decomposition Methods  Krylov Solvers  Modal Analysis  Optimized Schwarz Methods  Robin Interface Conditions  Stokes−darcy System  
PIN-L: Preconditioned inexact Newton with learning capability for nonlinear system of equations Journal article
Li Luo, Xiao-Chuan Cai. PIN-L: Preconditioned inexact Newton with learning capability for nonlinear system of equations[J]. SIAM Journal on Scientific Computing, 2022.
Authors:  Li Luo;  Xiao-Chuan Cai
Favorite |   IF:3.0/3.2 | Submit date：2022/07/29
A nonlinear elimination preconditioned inexact Newton algorithm Journal article
Lulu Liu, Feng-Nan Hwang, Li Luo, Xiao-Chuan Cai, David E. Keyes. A nonlinear elimination preconditioned inexact Newton algorithm[J]. SIAM Journal on Scientific Computing, 2022, 44(3), A1579-A1605.
Authors:  Lulu Liu;  Feng-Nan Hwang;  Li Luo;  Xiao-Chuan Cai;  David E. Keyes
Favorite | TC[WOS]:2 TC[Scopus]:3  IF:3.0/3.2 | Submit date：2022/07/28
Nonlinear Eliminationinexact Newton Methoddomain decompositionNonlinear Equationsfull Potential Equation  
AN ORTHOGONALIZATION-FREE PARALLELIZABLE FRAMEWORK FOR ALL-ELECTRON CALCULATIONS IN DENSITY FUNCTIONAL THEORY Journal article
Gao, Bin, Hu, Guanghui, Kuang, Yang, Liu, Xin. AN ORTHOGONALIZATION-FREE PARALLELIZABLE FRAMEWORK FOR ALL-ELECTRON CALCULATIONS IN DENSITY FUNCTIONAL THEORY[J]. SIAM Journal on Scientific Computing, 2022, 44(3), B723-B745.
Authors:  Gao, Bin;  Hu, Guanghui;  Kuang, Yang;  Liu, Xin
Favorite | TC[WOS]:6 TC[Scopus]:8  IF:3.0/3.2 | Submit date：2022/08/05
All-electron Calculations  Density Functional Theory  Orthogonalization-free  Scalability  Total Energy Minimization  
Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous galerkin method Journal article
Luo, Li, Cai, Xiao Chuan, Keyes, David E.. Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous galerkin method[J]. SIAM Journal on Scientific Computing, 2021, 43(5), S317-S344.
Authors:  Luo, Li;  Cai, Xiao Chuan;  Keyes, David E.
Favorite | TC[WOS]:12 TC[Scopus]:15  IF:3.0/3.2 | Submit date：2022/03/18
Discontinuous Galerkin  Fully Implicit  Inexact Newton  Nonlinear Preconditioning  Parallel Computing  Two-phase Flow In Porous Media  
Preconditioning techniques for diagonal-times-Toeplitz matrices in fractional diffusion equations Journal article
Pan,Jianyu, Ke,Rihuan, Ng,Michael K., Sun,Hai Wei. Preconditioning techniques for diagonal-times-Toeplitz matrices in fractional diffusion equations[J]. SIAM Journal on Scientific Computing, 2014, 36(6), A2698-A2719.
Authors:  Pan,Jianyu;  Ke,Rihuan;  Ng,Michael K.;  Sun,Hai Wei
Favorite | TC[WOS]:133 TC[Scopus]:135 | Submit date：2019/05/27
Approximate Inverse  Circulant Matrix  Fast Fourier Transform  Fractional Diffusion Equation  Krylov Subspace Methods  Toeplitz Matrix