4 papers · 1 filter
A Uniformly High-Accuracy PML-BIE Method for Scattering by Periodic Arrays of Obstacles: The 2D Case
Yan Tan, Carlos Pérez-Arancibia, Tao Yin
This paper presents a novel frequency-robust perfectly matched layer (PML) boundary integral equation (BIE) method for solving two-dimensional electromagnetic scattering problems i…
A multiphase cubic MARS method for fourth- and higher-order interface tracking of two or more materials with arbitrary topology and geometry
Yan Tan, Yixiao Qian, Zhiqi Li +1
For interface tracking of an arbitrary number of materials in two dimensions, we propose a multiphase cubic MARS method that (a) represents the topology and geometry of the interfa…
On Convergence of the Secant Method
Yan Tan, Chenhao Ye, Qinghai Zhang +1
The secant method, as an important approach for solving nonlinear equations, is introduced in nearly all numerical analysis textbooks. However, most textbooks only briefly address…
A fourth-order, multigrid cut-cell method for solving Poisson's equation in three-dimensional irregular domains
Yixiao Qian, Weizhen Li, Yan Tan +1
We propose a fourth-order cut-cell method for solving Poisson's equations in three-dimensional irregular domains. Major distinguishing features of our method include (a) applicable…