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Weiping Bu
Researcher at Xiangtan University
Publications - 23
Citations - 760
Weiping Bu is an academic researcher from Xiangtan University. The author has contributed to research in topics: Finite element method & Fractional calculus. The author has an hindex of 11, co-authored 18 publications receiving 624 citations. Previous affiliations of Weiping Bu include Chinese Academy of Sciences.
Papers
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Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations
Weiping Bu,Yifa Tang,Jiye Yang +2 more
TL;DR: A class of two-dimensional Riesz space fractional diffusion equations is considered, and according to Lax–Milgram theorem, the existence and uniqueness of the solution to the fully discrete scheme are investigated.
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Finite difference/finite element method for two-dimensional space and time fractional Bloch-Torrey equations
TL;DR: In this paper, a class of two-dimensional space and time fractional Bloch-Torrey equations (2D-STFBTEs) are considered and a semi-discrete variational formulation for 2D- STFB TEs is obtained by finite difference method and Galerkin finite element method.
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Finite element multigrid method for multi-term time fractional advection diffusion equations
TL;DR: Two fully discrete schemes of MTFADEs with different definitions on multi-term time fractional derivative are obtained and a V-cycle multigrid method is proposed to solve the resulting linear systems.
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Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations
TL;DR: Based on spatial conforming and nonconforming mixed finite element methods combined with classical L1 time stepping method, two fully-discrete approximate schemes with unconditional stability are established for the time-fractional diffusion equation.
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Finite Difference/Finite Element Methods for Distributed-Order Time Fractional Diffusion Equations
Weiping Bu,Aiguo Xiao,Wei Zeng +2 more
TL;DR: To improve the convergence rate in time, the weighted and shifted Grünwald difference method is used and a higher order finite difference scheme of the Caputo fractional derivative is developed to improve the time convergence rate of the methods.