title: Fast multipole acceleration of the MEG/EEG boundary element method.
abstract: The accurate solution of the forward electrostatic problem is an essential first step before solving the inverse problem of magneto- and electroencephalography (MEG/EEG). The symmetric Galerkin boundary element method is accurate but cannot be used for very large problems because of its computational complexity and memory requirements. We describe a fast multipole-based acceleration for the symmetric boundary element method (BEM). It creates a hierarchical structure of the elements and approximates far interactions using spherical harmonics expansions. The accelerated method is shown to be as accurate as the direct method, yet for large problems it is both faster and more economical in terms of memory consumption.
authors.affiliation: Center for Machine Perception, Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic. kybic@fel.cvut.cz
authors.forename: Jan
authors.initials: J
authors.lastname: Kybic
authors.forename: Maureen
authors.initials: M
authors.lastname: Clerc
authors.forename: Olivier
authors.initials: O
authors.lastname: Faugeras
authors.forename: Renaud
authors.initials: R
authors.lastname: Keriven
authors.forename: Théo
authors.initials: T
authors.lastname: Papadopoulo
mesh_terms: D000465:Algorithms; D004569:Electroencephalography / Q000379:methods*; D015225:Magnetoencephalography / Q000379:methods*; D012815:Signal Processing, Computer-Assisted; D055672:Static Electricity