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An efficient multigrid solver for two-dimensional spatial fractional diffusion equations with variable coefficients: An efficient multigrid solver for two-dimensional SFDEs Journal article
Applied Mathematics and Computation, 2021,Volume: 402
Authors:  Pan,Kejia;  Sun,Hai Wei;  Xu,Yuan;  Xu,Yufeng
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Biconjugate Gradient Stabilized Method  Cascadic Multigrid Method  Fractional Diffusion Equations  Richardson Extrapolation  Variable Coefficients  
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations Journal article
Journal of Applied Mathematics and Computing, 2021,Volume: 66,Issue: 1-2,Page: 673–700
Authors:  Lu,Xin;  Fang,Zhi Wei;  Sun,Hai Wei
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Gmres Method  Riesz Space Fractional Diffusion Equations  Shifted Grünwald Discretization  Sine-transform-based Splitting Preconditioner  Symmetric Positive Definite Toeplitz Matrix  
A framework of the finite element solution of the Landau-Lifshitz-Gilbert equation on tetrahedral meshes Journal article
Journal of Computational Physics, 2021,Volume: 431
Authors:  Yang,Lei;  Chen,Jingrun;  Hu,Guanghui
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Demagnetization field calculation  Finite element method  Gradient recovery  Implicit midpoint scheme  Landau-Lifshitz-Gilbert equation  
Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations Journal article
Numerische Mathematik, 2021,Volume: 147,Issue: 3,Page: 651-677
Authors:  Fang,Zhi Wei;  Lin,Xue Lei;  Ng,Michael K.;  Sun,Hai Wei
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Circulant-based approximate inverse preconditioners for a class of fractional diffusion equations Journal article
Computers and Mathematics with Applications, 2021,Volume: 85,Page: 18-29
Authors:  Pang,Hong Kui;  Qin,Hai Hua;  Sun,Hai Wei;  Ma,Ting Ting
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Circulant-based Preconditioner  Decay Property  Finite Difference Method  Fractional Diffusion Equation  Toeplitz-like  
Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian Journal article
Mathematical Methods in the Applied Sciences, 2021,Volume: 44,Issue: 1,Page: 441-463
Authors:  Gu,Xian Ming;  Sun,Hai Wei;  Zhang,Yanzhi;  Zhao,Yong Liang
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Caputo Derivative  Circulant Preconditioner  Fractional Diffusion Equations  Integral Fractional Laplacian  Krylov Subspace Solvers  
An implicit solver for the time-dependent kohn-sham equation Journal article
Numerical Mathematics, 2020,Volume: 14,Issue: 1,Page: 261-284
Authors:  Yang,Lei;  Shen,Yedan;  Hu,Zhicheng;  Hu,Guanghui
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Complex-valued algebraic multigrid methods  Finite element methods  H-adaptive mesh methods  Implicit midpoint scheme  Time-dependent Kohn-Sham equation  
Fracture Patterns Design for Anisotropic Models with the Material Point Method Journal article
Computer Graphics Forum, 2020,Volume: 39,Issue: 7,Page: 93-104
Authors:  Cao,Wei;  Lyu,Luan;  Ren,Xiaohua;  Zhang,Bob;  Yang,Zhixin;  Wu,Enhua
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Ccs Concepts  Physical Simulation  • Computing Methodologies → Animation  
A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations Journal article
Linear and Multilinear Algebra, 2020
Authors:  Huang,Xin;  Fang,Zhi Wei;  Sun,Hai Wei;  Zhang,Chun Hua
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Circulant Preconditioner  Distributed-order  Preconditioned Conjugated Gradient Method  Space-fractional Diffusion Equations  
A central-line coarse preconditioner for Stokes flows in artery-like domains Journal article
Numerical Algorithms, 2020
Authors:  Yingzhi Liu;  Xiao-Chuan Cai
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Blood Flow In Artery  Central-line Coarse Space  Finite Element  Multilevel Domain Decomposition  Stokes Problem