3 citations · 4 across the 6 of their papers we have counts for
5 papers · 1 filter
An unfitted finite element method for PDE-constrained shape optimization via shape gradient flow
Wei Gong, Chuwen Ma, Ziyi Zhang
In this paper, we propose an unfitted finite element method to solve PDE-constrained shape optimization problems via shape gradient flow. The shape gradient flow system consists of…
A new framework of high-order unfitted finite element methods using ALE maps for moving-domain problems
Wenhao Lu, Chuwen Ma, Weiying Zheng
As a sequel to our previous work [C. Ma, Q. Zhang and W. Zheng, SIAM J. Numer. Anal., 60 (2022)], [C. Ma and W. Zheng, J. Comput. Phys. 469 (2022)], this paper presents a generic f…
A high-order unfitted finite element method for moving interface problems
Chuwen Ma, Weiying Zheng
We propose a -order unfitted finite element method () to solve the moving interface problem of the Oseen equations. Thorough error estimates for the discre…
High-order finite element methods for nonlinear convection-diffusion equation on time-varying domain
Chuwen Ma, Weiying Zheng
A high-order finite element method is proposed to solve the nonlinear convection-diffusion equation on a time-varying domain whose boundary is implicitly driven by the solution of…
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…