5 citations · 5 across the 4 of their papers we have counts for
4 papers · 1 filter
Time-fractional diffusion equations with randomness, and efficient numerical estimations of expected values
Josef Dick, Hecong Gao, William McLean +1
In this work, we explore a time-fractional diffusion equation of order with a stochastic diffusivity parameter. We focus on efficient estimation of the expected values…
A simple modification to mitigate locking in conforming FEM for nearly incompressible elasticity
K. Mustapha, W. McLean, J. Dick +1
Due to the divergence-instability, the accuracy of low-order conforming finite element methods (FEMs) for nearly incompressible elasticity equations deteriorates as the Lamé parame…
High-order QMC nonconforming FEMs for nearly incompressible planar stochastic elasticity equations
J. Dick, T. Le Gia, W. McLean +2
In a recent work (Dick et al, arXiv:2310.06187), we considered a linear stochastic elasticity equation with random Lamé parameters which are parameterized by a countably infinite n…
An -robust and second-order accurate scheme for a subdiffusion equation
Kassem Mustapha, William McLean, Josef Dick
We investigate a second-order accurate time-stepping scheme for solving a time-fractional diffusion equation with a Caputo derivative of order~. The basic idea of our s…