293 citations · 793 across the 29 of their papers we have counts for
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A Petrov-Galerkin Finite Element Method for Fractional Convection-Diffusion Equations
Bangti Jin, Raytcho Lazarov, Zhi Zhou
In this work, we develop variational formulations of Petrov-Galerkin type for one-dimensional fractional boundary value problems involving either a Riemann-Liouville or Caputo deri…
On Nonnegativity Preservation in Finite Element Methods for Subdiffusion Equations
Bangti Jin, Raytcho Lazarov, Vidar Thomée +1
We consider three types of subdiffusion models, namely single-term, multi-term and distributed order fractional diffusion equations, for which the maximum-principle holds and which…
Error Estimates for Approximations of Distributed Order Time Fractional Diffusion with Nonsmooth Data
Bangti Jin, Raytcho Lazarov, Dongwoo Sheen +1
In this work, we consider the numerical solution of an initial boundary value problem for the distributed order time fractional diffusion equation. The model arises in the mathemat…
A simple finite element method for the boundary value problem with a Riemann-Liouville derivative
Bangti Jin, Raytcho Lazarov, Xiliang Lu +1
We consider a boundary value problem involving a Riemann-Liouville fractional derivative of order on the unit interval . The standard Galerkin finite element…
An analysis of the L1 Scheme for the subdiffusion equation with nonsmooth data
Bangti Jin, Raytcho Lazarov, Zhi Zhou
The subdiffusion equation with a Caputo fractional derivative of order in time arises in a wide variety of practical applications, and it is often adopted to model anom…