Bin Han

activity

20242026

most citedConvergent Sixth-order Compact Finite Difference Method for Variable-Coefficient Elliptic PDEs in Curved Domains

2 citations · 3 across the 7 of their papers we have counts for

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7 papers · 1 filter

math.NA2026

Efficient and simple fourth-order compact finite difference methods for convection-diffusion-reaction equations on arbitrary curved domains

Qiwei Feng, Bin Han, Peter Minev

In this paper, we discuss the 2D convection-diffusion-reaction equation with variable smooth coefficients and the Dirichlet boundary condition on a complicated, thin, and curved do…

math.NA2025★ 1 cited

An Efficient Finite Difference-Based PML Technique for Acoustic Scattering Problems

Bin Han, Jiwoon Sim

The acoustic scattering problem is modeled by the exterior Helmholtz equation, which is challenging to solve due to both the unboundedness of the domain and the high dispersion err…

math.NA2025

Convergent Compact Finite Difference Methods with Symmetric Matrices and Highest Possible Orders for Variable-Coefficient Elliptic Equations

Qiwei Feng, Bin Han, Michelle Michelle +1

For the $d$ -dimensional variable-coefficient Poisson problem $- \nabla \cdot (a \nabla u) = f$ subject to Dirichlet boundary conditions, we seek compact (i.e., $3^{d}$ -point) symmetric fi…

math.NA2025

A High-Order, Pressure-Robust, and Decoupled Finite Difference Method for the Stokes Problem

Qiwei Feng, Bin Han, Michael Neilan

In this paper, we consider the Stokes problem with Dirichlet boundary conditions and the constant kinematic viscosity $ν$ in an axis-aligned domain $Ω$ . We decouple the velocity $\…

math.NA2025★ 2 cited

Convergent Sixth-order Compact Finite Difference Method for Variable-Coefficient Elliptic PDEs in Curved Domains

Bin Han, Jiwoon Sim

Finite difference methods (FDMs) are widely used for solving partial differential equations (PDEs) due to their relatively simple implementation. However, they face significant cha…

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

Galerkin Scheme Using Biorthogonal Wavelets on Intervals for Elliptic Interface Problems

Bin Han, Michelle Michelle

This paper presents a wavelet Galerkin method for solving elliptic interface problems of the form $- \nabla \cdot (a \nabla u) = f$ in $Ω\Γ$ , where $Γ$ is a smooth interface wi…