3 citations · 4 across the 6 of their papers we have counts for
6 papers
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…
Quantum simulation of Maxwell's equations via Schrödingersation
Shi Jin, Nana Liu, Chuwen Ma
We present quantum algorithms for electromagnetic fields governed by Maxwell's equations. The algorithms are based on the Schrödingersation approach, which transforms any linear PD…
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…