R Yovel, E Treister - SIAM Journal on Scientific Computing, 2024 - SIAM
We present an efficient matrix-free geometric multigrid method for the elastic Helmholtz equation, and a suitable discretization. Many discretization methods had been considered in …
B Wang, W Zhang, W Cai - SIAM Journal on Scientific Computing, 2019 - SIAM
In this paper, a fast multipole method (FMM) is proposed to compute long-range interactions of wave sources embedded in 3-dimensional (3-D) layered media. The layered media …
W Zhang, B Wang, W Cai - SIAM Journal on Numerical Analysis, 2020 - SIAM
In this paper, we first derive the multipole expansion (ME) and local expansion (LE) for far fields from wave sources in two-dimensional (2-D) layered media as well as the multipole-to …
B Wang, W Zhang, W Cai - Computer Physics Communications, 2021 - Elsevier
In this paper, a fast multipole method (FMM) is proposed for 3-D Laplace equations in layered media. The potential due to charges embedded in layered media is decomposed …
R Yovel, E Treister - arXiv preprint arXiv:2411.15897, 2024 - arxiv.org
We present a novel block-preconditioner for the elastic Helmholtz equation, based on a reduction to acoustic Helmholtz equations. Both versions of the Helmholtz equations are …
A Felaco, KY Kapusuz, H Rogier… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
A novel method is presented to accurately determine the operational range of an on-body, passive ultrahigh-frequency (UHF) radio frequency identification (RFID) system operating in …
Z Gao, J Liang, Z Xu - Journal of Scientific Computing, 2022 - Springer
We propose an accurate algorithm for a novel sum-of-exponentials (SOE) approximation of kernel functions, and develop a fast algorithm for convolution quadrature based on the SOE …
B Wang, W Zhang, W Cai - Journal of Computational Physics, 2021 - Elsevier
In this paper, we propose a fast multipole method (FMM) for 3-D linearized Poisson– Boltzmann (PB) equation in layered electrolyte-dielectric media. We will extend our previous …
M Yang, X Du, Y Ge - Engineering Computations, 2021 - emerald.com
Purpose This meshless collocation method is applicable not only to the Helmholtz equation with Dirichlet boundary condition but also mixed boundary conditions. It can calculate not …