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math.NA2024
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…
math.NA2024
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…
math.NA2024
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…