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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…
math.NA2020
A Neural Network with Plane Wave Activation for Helmholtz Equation
Ziming Wang, Tao Cui, Xueshuang Xiang
This paper proposes a plane wave activation based neural network (PWNN) for solving Helmholtz equation, the basic partial differential equation to represent wave propagation, e.g.…