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math.NA2024
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…
math.NA2023
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…