3 papers
math.NA2026
A Multi-Level Machine Learning Framework for Inverse Scattering Problems with Multi-Frequency Data
Yi Liu, Yanzhao Cao, Junshan Lin +1
In this work, we propose a multi-level machine learning framework for solving inverse scattering problems with multi-frequency data. The multi-level neural network is built along t…
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…