Taylor expansion based fast multipole method for 3-D Helmholtz equations in layered media

@article{Wang2019TaylorEB,
  title={Taylor expansion based fast multipole method for 3-D Helmholtz equations in layered media},
  author={Bo Wang and Duan Chen and Bo Zhang and Wen Zhong Zhang and Min Hyung Cho and Wei Cai},
  journal={J. Comput. Phys.},
  year={2019},
  volume={401}
}
  • Bo WangDuan Chen W. Cai
  • Published 14 February 2019
  • Computer Science
  • J. Comput. Phys.
View PDF on arXiv
11 Citations
Background Citations
2
Methods Citations
4

11 Citations

Fast multipole method for 3-D Laplace equation in layered media

Exponential convergence for multipole and local expansions and their translations for sources in layered media: 2-D acoustic wave.

In this paper, we will first give a derivation of the multipole expansion (ME) and local expansion (LE) for the far field from sources in general 2-D layered media and the multipole-to-local…

Solution of the 3D Helmholtz equation using barycentric Lagrange interpolation collocation method

PurposeThis meshless collocation method is applicable not only to the Helmholtz equation with Dirichlet boundary condition but also mixed boundary conditions. It can calculate not only the high…

A Matrix Basis Formulation For The Green's Functions Of Maxwell's Equations And The Elastic Wave Equations In Layered Media

A matrix basis formulation is introduced to represent the 3 x 3 dyadic Green's functions in the frequency domain for the Maxwell's equations and the elastic wave equation in layered media. The…

Exponential Convergence for Multipole and Local Expansions and Their Translations for Sources in Layered Media: Two-Dimensional Acoustic Wave

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-local transl...

A Kernel-Independent Sum-of-Exponentials Method

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, which allows an…

An Efficient Algorithm to Determine the Operational Range of Near-Field On-Body UHF RFID Systems

A new algorithm is proposed, leveraging a 3D multipole expansions of the electromagnetic fields, to accurately determine the operational range of a radiative near-field on-body radio-frequency…

Efficient Modeling of On-Body Passive UHF RFID Systems in the Radiative Near-Field

A novel method is presented to accurately determine the operational range of an on-body, passive ultra-high-frequency (UHF) radio-frequency identification (RFID) system operating in the radiative…

A Matrix Basis Formulation for the Dyadic Green's Functions of Maxwell's Equations in Layered Media

Fast multipole method for 3-D Poisson-Boltzmann equation in layered electrolyte-dielectric media

References

SHOWING 1-10 OF 60 REFERENCES

A fast multipole method for Maxwell equations stable at all frequencies

  • Eric F DarveP. Havé
  • Computer Science
    Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 2004
This work proposes a third approach, the stable–plane–wave expansion, which has a lower computational expense than the multipole expansion and does not have the accuracy and stability problems of the plane– wave expansion.

Fast multipole method for 3-D Laplace equation in layered media

A heterogeneous FMM for layered media Helmholtz equation I: Two layers in R2

Accurate and Efficient Nyström Volume Integral Equation Method for Electromagnetic Scattering of 3-D Metamaterials in Layered Media

The resulting Nystrom method demonstrates fast numerical convergence with high accuracy and efficiency with only a small number of collocation points in calculating the electromagnetic scattering of three-dimensional metamaterials in layered media.

Fast inhomogeneous plane wave algorithm for electromagnetic solutions in layered medium structures: Two‐dimensional case

An accurate and efficient algorithm is proposed for solving two‐dimensional electromagnetic scattering problems in a layered medium by observing the similarity of these integrals with the integral representation of the free space Green's function, which can be applied with ease to accelerate the matrix‐vector multiplication.

A parallel fast algorithm for computing the Helmholtz integral operator in 3-D layered media

Exponential convergence for multipole and local expansions and their translations for sources in layered media: 2-D acoustic wave.

In this paper, we will first give a derivation of the multipole expansion (ME) and local expansion (LE) for the far field from sources in general 2-D layered media and the multipole-to-local…

Multipole‐accelerated capacitance computation for 3‐D structures in a stratified dielectric medium using a closed‐form Green's function

In this article, the capacitance matrices of three-dimensional conducting structures embedded in a stratified dielectric medium are computed by using the fast muitipole method in conjunction with a…

Efficient fast multipole method for low-frequency scattering

The Variable Order Fast Multipole Method for Boundary Integral Equations of the Second Kind

This work discusses the variable order Fast Multipole Method applied to piecewise constant Galerkin discretizations of boundary integral equations, and low-order expansions are employed in the finest level and orders are increased in the coarser levels.
...