Fast Solvers for an Elliptic Problem from Dipole Localization

The model-based reconstruction of electrical brain activity from electroencephalographic measurements is of constantly growing importance in the fields of Neurology and Neurosurgery. Algorithms for this task involve the solution of a 3D Poisson problem on a complicated geometry and with non-continuous coefficients for a considerable number of different right hand sides. Thus efficient solvers for this subtask are required. We will report on our experiences with different iterative solvers for a discretization based on cell-centered finite-differences.

@article{id719,
  author = {Mohr, M. and Vanrumste, B.},
  doi = {10.1002/1617-7061(200203)1:1\ensuremath{<}541::AID-PAMM541\ensuremath{>}3.0.CO;2-F},
  journal = {Proceedings in Applied Mathematics and Mechanics},
  language = {en},
  number = {1},
  pages = {541{\textendash}542},
  title = {Fast Solvers for an Elliptic Problem from Dipole Localization},
  volume = {1},
  year = {2002},
}

%O Journal Article
%A Mohr, M.
%A Vanrumste, B.
%R 10.1002/1617-7061(200203)1:1<541::AID-PAMM541>3.0.CO;2-F
%J Proceedings in Applied Mathematics and Mechanics
%G en
%N 1
%P 541–542
%T Fast Solvers for an Elliptic Problem from Dipole Localization
%V 1
%D 2002