3 papers
math.NA2025
Analysis of a fast fully discrete finite element method for fractional viscoelastic wave propagation
Hao Yuan, Xiaoping Xie
This paper is devoted to a numerical analysis of a fractional viscoelastic wave propagation model that generalizes the fractional Maxwell model and the fractional Zener model. Firs…
math.NA2025
A fast fully discrete mixed finite element scheme for fractional viscoelastic models of wave propagation
Hao Yuan, Xiaoping Xie
Due to the nonlocal feature of fractional differential operators, the numerical solution to fractional partial differential equations usually requires expensive memory and computat…
math.NA2025
Pathwise uniform convergence of numerical approximations for a two-dimensional stochastic Navier-Stokes equation with no-slip boundary conditions
Binjie Li, Xiaoping Xie, Qin Zhou
This paper investigates the pathwise uniform convergence in probability of fully discrete finite-element approximations for the two-dimensional stochastic Navier-Stokes equations w…