293 citations · 1.8k across the 110 of their papers we have counts for
6 papers · 1 filter
A Finite Element Method With Singularity Reconstruction for Fractional Boundary Value Problems
Bangti Jin, Zhi Zhou
We consider a two-point boundary value problem involving a Riemann-Liouville fractional derivative of order $\al\in (1,2)$ in the leading term on the unit interval . General…
Two Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
Bangti Jin, Raytcho Lazarov, Zhi Zhou
We consider the initial/boundary value problem for the fractional diffusion and diffusion-wave equations involving a Caputo fractional derivative in time. We develop two "simple" f…
An Analysis of the Rayleigh-Stokes problem for a Generalized Second-Grade Fluid
Emilia Bazhlekova, Bangti Jin, Raytcho Lazarov +1
We study the Rayleigh-Stokes problem for a generalized second-grade fluid which involves a Riemann-Liouville fractional derivative in time, and present an analysis of the problem i…
A Primal Dual Active Set with Continuation Algorithm for the \ell^0-Regularized Optimization Problem
Yuling Jiao, Bangti Jin, Xiliang Lu
We develop a primal dual active set with continuation algorithm for solving the \ell^0-regularized least-squares problem that frequently arises in compressed sensing. The algorithm…
Multilevel Markov Chain Monte Carlo Method for High-Contrast Single-Phase Flow Problems
Yalchin Efendiev, Bangti Jin, Michael Presho +1
In this paper we propose a general framework for the uncertainty quantification of quantities of interest for high-contrast single-phase flow problems. It is based on the generaliz…
The Galerkin Finite Element Method for A Multi-term Time-Fractional Diffusion equation
Bangti Jin, Raytcho Lazarov, Yikan Liu +1
We consider the initial/boundary value problem for a diffusion equation involving multiple time-fractional derivatives on a bounded convex polyhedral domain. We analyze a space sem…