1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
Finite element error estimates for the nonlinear Schrödinger-Poisson model
Tao Cui, Wenhao Lu, Naiyan Pan +1
In this paper, we study a priori error estimates for the finite element approximation of the nonlinear Schrödinger-Poisson model. The electron density is defined by an infinite ser…
A uniform preconditioner for a Newton algorithm for total-variation minimization and minimum-surface problems
Xue-Cheng Tai, Ragnar Winther, Xiaodi Zhang +1
Solution methods for the nonlinear partial differential equation of the Rudin-Osher-Fatemi (ROF) and minimum-surface models are fundamental for many modern applications. Many effic…
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…