4 papers
A convergent Scharfetter-Gummel scheme for a three-species drift-diffusion model for memristors
Ansgar Jüngel, Zhiwei Sun, Sara Xhahysa
A structure-preserving fully implicit Scharfetter-Gummel finite-volume scheme for a three-species drift-diffusion model for semiconductors is proposed and analyzed. The equations d…
A Bernoulli Phase-Fitted finite difference method with wavenumber-explicit analysis for the Helmholtz problem
Ansgar Jüngel, Panchi Li, Zhiwei Sun +1
A new Bernoulli phase-fitted finite difference method for the Helmholtz equation is introduced, obtained by applying a complexified Scharfetter--Gummel flux to the one-way factors…
Error Analysis of the Deep Mixed Residual Method for High-order Elliptic Equations
Mengjia Bai, Jingrun Chen, Rui Du +1
This paper presents an a priori error analysis of the Deep Mixed Residual method (MIM) for solving high-order elliptic equations with non-homogeneous boundary conditions, including…
Error Analysis of Mixed Residual Methods for Elliptic Equations
Kai Gu, Peng Fang, Zhiwei Sun +1
We present a rigorous theoretical analysis of the convergence rate of the deep mixed residual method (MIM) when applied to a linear elliptic equation with various types of boundary…