2 papers
math.NA2021
A fourth-order unfitted characteristic finite element method for solving the advection-diffusion equation on time-varying domains
Chuwen Ma, Qinghai Zhang, Weiying Zheng
We propose a fourth-order unfitted characteristic finite element method to solve the advection-diffusion equation on time-varying domains. Based on a characteristic-Galerkin formul…
math.AT2019
Fluid Modeling and Boolean Algebra for Arbitrarily Complex Topology in Two Dimensions
Qinghai Zhang, Zhixuan Li
We propose a mathematical model for fluids in multiphase flows in order to establish a solid theoretical foundation for the study of their complex topology, large geometric deforma…