Fast EEG/MEG BEM-based forward problem solution for high-resolution head models [PDF]
NeuroImageA fast BEM (boundary element method) based approach is developed to solve an EEG/MEG forward problem for a modern high-resolution head model. The method utilizes a charge-based BEM accelerated by the fast multipole method (BEM-FMM) with an adaptive mesh ...
William A. Wartman +9 more
doaj +2 more sources
Periodic Fast Multipole Method
CoRR, 2021 A new scheme is presented for imposing periodic boundary conditions on unit cells with arbitrary source distributions. We restrict our attention here to the Poisson, modified Helmholtz, Stokes and modified Stokes equations. The approach extends to the oscillatory equations of mathematical physics, including the Helmholtz and Maxwell equations, but we ...
Ruqi Pei +3 more
openaire +2 more sources
A Parallel Directional Fast Multipole Method [PDF]
SIAM Journal on Scientific Computing, 2014 This paper introduces a parallel directional fast multipole method (FMM) for solving N-body problems with highly oscillatory kernels, with a focus on the Helmholtz kernel in three dimensions. This class of oscillatory kernels requires a more restrictive low-rank criterion than that of the low-frequency regime, and thus effective parallelizations must ...
Austin R. Benson +4 more
openaire +2 more sources
Physical Review Accelerators and Beams, 2021 A novel method is developed to take into account realistic boundary conditions in intense nonlinear beam dynamics. The algorithm consists of three main ingredients: the boundary element method that provides a solution for the discretized reformulation of
A. J. Tencate, A. Gee, B. Erdelyi
doaj +1 more source
Comparison of Linear Iteration Schemes to Improve the Convergence of Iterative Physical Optics for an Impedance Scatterer [PDF]
Journal of Electromagnetic Engineering and Science, 2023 The conventional iterative physical optics (IPO) method updates the surface current based on the Jacobi iteration scheme, which typically diverges for large objects.
Jeong-Un Yoo, Il-Suek Koh
doaj +1 more source
The Spherical Fast Multipole Method (sFMM) for Gravitational Lensing Simulation
The Astrophysical Journal, 2023 In this paper, we present a spherical Fast Multipole Method (sFMM) for ray-tracing simulation of gravitational lensing on a curved sky. The sFMM is a nontrivial extension of the Fast Multiple Method to sphere ${{\mathbb{S}}}^{2}$ , and it can accurately ...
Xingpao Suo +3 more
doaj +1 more source
Sparse Reconstruction for Near-Field MIMO Radar Imaging Using Fast Multipole Method
IEEE Access, 2021 Radar imaging using multiple input multiple output systems are becoming popular recently. These applications typically contain a sparse scene and the imaging system is challenged by the requirement of high quality real-time image reconstruction from ...
Emre A. Miran +2 more
doaj +1 more source
A Two-Step Surface Reconstruction Method Using Signed Marching Cubes
Applied Sciences, 2022 In this paper, we explore a new approach, a two-step surface reconstruction method to extract the target isosurface from a given implicit function efficiently.
Ju Zhang, Deyun Zhong, Liguan Wang
doaj +1 more source
Electromagnetic Devices with Moving Parts—Simulation with FEM/BEM Coupling
Mathematics, 2021 The numerical analysis of electromagnetic devices by means of finite element methods (FEM) is often hindered by the need to incorporate the surrounding domain.
Thomas Rüberg +2 more
doaj +1 more source
X‐ray magnetic circular dichroism
Major Reference Works, Page 508-515., 2022 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
wiley +1 more source