scholarly journals Accelerating isogeometric boundary element analysis for 3-dimensional elastostatics problems through black-box fast multipole method with proper generalized decomposition

2018 ◽  
Vol 114 (9) ◽  
pp. 975-998 ◽  
Author(s):  
S. Li ◽  
J. Trevelyan ◽  
W. Zhang ◽  
D. Wang
Keyword(s):  
Boundary Element ◽  
Fast Multipole Method ◽  
Black Box ◽  
Proper Generalized Decomposition ◽  
Fast Multipole ◽  
Element Analysis ◽  
3 Dimensional ◽  
Multipole Method ◽  
Boundary Element Analysis

scholarly journals A Software Toolkit for TMS Electric-Field Modeling with Boundary Element Fast Multipole Method: An Efficient MATLAB Implementation

2020 ◽  
Author(s):  
Sergey N. Makarov ◽  
William A. Wartman ◽  
Mohammad Daneshzand ◽  
Kyoko Fujimoto ◽  
Tommi Raij ◽  
...  
Keyword(s):  
High Resolution ◽  
Boundary Element ◽  
Electric Fields ◽  
Fast Multipole Method ◽  
Human Head ◽  
Head Model ◽  
Fast Multipole ◽  
Software Toolkit ◽  
Model Repository ◽  
Multipole Method

AbstractBackgroundTranscranial magnetic stimulation (TMS) is currently the only non-invasive neurostimulation modality that enables painless and safe supra-threshold stimulation by employing electromagnetic induction to efficiently penetrate the skull. Accurate, fast, and high resolution modeling of the electric fields (E-fields) may significantly improve individualized targeting and dosing of TMS and therefore enhance the efficiency of existing clinical protocols as well as help establish new application domains.ObjectiveTo present and disseminate our TMS modeling software toolkit, including several new algorithmic developments, and to apply this software to realistic TMS modeling scenarios given a high-resolution model of the human head including cortical geometry and an accurate coil model.MethodThe recently developed charge-based boundary element fast multipole method (BEM-FMM) is employed as an alternative to the 1st order finite element method (FEM) most commonly used today. The BEM-FMM approach provides high accuracy and unconstrained field resolution close to and across cortical interfaces. Here, the previously proposed BEM-FMM algorithm has been improved in several novel ways.Results and ConclusionsThe improvements resulted in a threefold increase in computational speed while maintaining the same solution accuracy. The computational code based on the MATLAB® platform is made available to all interested researchers, along with a coil model repository and examples to create custom coils, head model repository, and supporting documentation. The presented software toolkit may be useful for post-hoc analyses of navigated TMS data using high-resolution subject-specific head models as well as accurate and fast modeling for the purposes of TMS coil/hardware development.

The black-box fast multipole method

2009 ◽  
Vol 228 (23) ◽  
pp. 8712-8725 ◽  
Author(s):  
William Fong ◽  
Eric Darve
Keyword(s):  
Fast Multipole Method ◽  
Black Box ◽  
Fast Multipole ◽  
Multipole Method

scholarly journals Solving High-Resolution Forward Problems for Extra- and Intracranial Neurophysiological Recordings Using Boundary Element Fast Multipole Method

2019 ◽  
Author(s):  
Sergey N Makarov ◽  
Matti Hämäläinen ◽  
Yoshio Okada ◽  
Gregory M Noetscher ◽  
Jyrki Ahveninen ◽  
...  
Keyword(s):  
High Resolution ◽  
Boundary Element ◽  
Fast Multipole Method ◽  
Field Potential ◽  
Head Model ◽  
Practical Case ◽  
Source Modeling ◽  
Fast Multipole ◽  
Forward Solution ◽  
Multipole Method

AbstractWe present a general numerical approach for solving the forward problem in high-resolution. This approach can be employed in the analysis of noninvasive electroencephalography (EEG) and magnetoencephalography (MEG) as well as invasive electrocorticography (ECoG), stereoencephalography (sEEG), and local field potential (LFP) recordings. The underlying algorithm is our recently developed boundary element fast multipole method (BEM-FMM) that simulates anatomically realistic head models with unprecedented numerical accuracy and speed. This is achieved by utilizing the adjoint double layer formulation and zeroth-order basis functions in conjunction with the FMM acceleration. We present the mathematical formalism in detail and validate the method by applying it to the canonical multilayer sphere problem. The numerical error of BEM-FMM is 2-10 times lower while the computational speed is 1.5–20 times faster than those of the standard first-order FEM. We present four practical case studies: (i) evaluation of the effect of a detailed head model on the accuracy of EEG/MEG forward solution; (ii) demonstration of the ability to accurately calculate the electric potential and the magnetic field in the immediate vicinity of the sources and conductivity boundaries; (iii) computation of the field of a spatially extended cortical equivalent dipole layer; and (iv) taking into account the effect a fontanel for infant EEG source modeling and comparison of the results with a commercially available FEM. In all cases, BEM-FMM provided versatile, fast, and accurate high-resolution modeling of the electromagnetic field and has the potential of becoming a standard tool for modeling both extracranial and intracranial electrophysiological signals.

scholarly journals A software toolkit for TMS electric-field modeling with boundary element fast multipole method: an efficient MATLAB implementation

2020 ◽  
Vol 17 (4) ◽  
pp. 046023 ◽  
Author(s):  
Sergey N Makarov ◽  
William A Wartman ◽  
Mohammad Daneshzand ◽  
Kyoko Fujimoto ◽  
Tommi Raij ◽  
...  
Keyword(s):  
Electric Field ◽  
Boundary Element ◽  
Fast Multipole Method ◽  
Fast Multipole ◽  
Software Toolkit ◽  
Field Modeling ◽  
Multipole Method ◽  
Matlab Implementation
Sign in / Sign up

Export Citation Format

Share Document