3 papers
math.NA2026
Locking analysis and high-order locking-free finite element method for three-dimensional electroporoelasticity equations
Xuan Liu, Yongkui Zou, Yanzhao Cao
Electroporoelasticity equations couple Maxwell's equations with Biot's poroelasticity model and admit severe Poisson locking in standard conforming finite element discretizations w…
math.NA2025
Weak Convergence Analysis for the Finite Element Approximation to Stochastic Allen-Cahn Equation Driven by Multiplicative White Noise
Minxing Zhang, Yongkui Zou, Ran Zhang +1
In this paper, we aim to study the optimal weak convergence order for the finite element approximation to a stochastic Allen-Cahn equation driven by multiplicative white noise. We…
math.NA2025
Splitting finite element approximations for quasi-static electroporoelasticity equations
Xuan Liu, Yongkui Zou, Ran Zhang +2
The electroporoelasticity model, which couples Maxwell's equations with Biot's equations, plays a critical role in applications such as water conservancy exploration, earthquake ea…