Qiwei Feng

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20242026

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math.NA2024

A Derivative-Orthogonal Wavelet Multiscale Method for 1D Elliptic Equations with Rough Diffusion Coefficients

Qiwei Feng, Bin Han

In this paper, we investigate 1D elliptic equations $- \nabla \cdot (a \nabla u) = f$ with rough diffusion coefficients $a$ that satisfy $0 < a_{m i n} \leq a \leq a_{m a x} < \infty$ and $f\in L…

math.NA2024

Distinct Numerical Solutions for Elliptic Cross-Interface Problems Using Finite Element and Finite Difference Methods

Qiwei Feng

In this paper, we discuss the second-order finite element method (FEM) and finite difference method (FDM) for numerically solving elliptic cross-interface problems characterized by…