[图书][B] Unified transform for boundary value problems: applications and advances

AS Fokas, B Pelloni - 2014 - SIAM
In May 2012, the International Centre for Mathematics Sciences (ICMS) in Edinburgh hosted
the workshop Boundary Value Problems for Linear Elliptic and Integrable PDEs: Theory and …

Benchmarking preconditioned boundary integral formulations for acoustics

E van 't Wout, SR Haqshenas, P Gélat… - International Journal …, 2021 - Wiley Online Library
The boundary element method (BEM) is an efficient numerical method for simulating
harmonic wave propagation. It uses boundary integral formulations of the Helmholtz …

Multibranch Rao–Wilton–Glisson basis functions for electromagnetic scattering problems

S Huang, G Xiao, Y Hu, R Liu… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
A multibranch Rao–Wilton–Glisson (MB-RWG) basis function is proposed in this article,
which is composed of one positive triangle with a larger edge length and several negative …

A discontinuous Galerkin surface integral equation method for scattering from multiscale homogeneous objects

BB Kong, XQ Sheng - IEEE Transactions on Antennas and …, 2018 - ieeexplore.ieee.org
A discontinuous Galerkin (DG) surface integral equation approach is proposed for scattering
from homogeneous dielectric objects. The formulation of DG for homogeneous bodies is …

Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl–curl Maxwell's equations

V Dolean, MJ Gander, S Lanteri, JF Lee… - Journal of computational …, 2015 - Elsevier
The time-harmonic Maxwell equations describe the propagation of electromagnetic waves
and are therefore fundamental for the simulation of many modern devices we have become …

Resistive sheet boundary condition-based nonconformal domain decomposition FE-BI-MLFMA for electromagnetic scattering from inhomogeneous objects with …

Z Yang, XW Yuan, XW Huang… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
A flexible and efficient resistive sheet boundary condition (RSBC)-based hybrid finite
element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) is presented …

A discontinuous Galerkin combined field integral equation formulation for electromagnetic modeling of piecewise homogeneous objects of arbitrary shape

VF Martín, L Landesa, F Obelleiro… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We present a novel discontinuous Galerkin (DG) surface integral equation approach, based
on the electric and magnetic current combined field integral equations (JMCFIE), for the …

A Multi-Resolution Preconditioner for Nonconformal Meshes in the MoM Solution of Large Multiscale Structures

VF Martín, JM Taboada… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The article presents a multi-resolution (MR) preconditioner able to improve the solution
convergence, via the method of moments (MoM) and the multilevel fast multipole algorithm …

Twofold domain decomposition method for the analysis of multiscale composite structures

PH Jia, L Lei, J Hu, Y Chen, K Han… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
A nonconformal twofold domain decomposition method (TDDM) based on the hybrid finite
element method-boundary element method (FEM-BEM) is proposed for analyzing 3-D …

A flexible FEM-BEM-DDM for EM scattering by multiscale anisotropic objects

X Yang, M Jiang, L Shen, PH Jia… - … on Antennas and …, 2021 - ieeexplore.ieee.org
In this article, a nonconformal domain decomposition method (DDM) based on the hybrid
finite element method (FEM) and boundary element method (BEM) is proposed to solve …