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MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
35/2001

A parallel algebraic multigrid solver for finite element method based source localization in the human brain

Carsten H. Wolters, Michael Kuhn, Alfred Anwander and Stefan Reitzinger

Abstract

Time plays an important role in medical and neuropsychological diagnosis and research. In the field of Electro- and MagnetoEncephaloGraphy (EEG/MEG) source localization, a current distribution in the human brain is reconstructed noninvasively by means of measured fields outside the head. High resolution finite element modeling for the field computation leads to a sparse, large scale, linear equation system with many different right hand sides to be solved. The presented solution process is based on a parallel algebraic multigrid method. It is shown that very short computation times can be achieved through the combination of the multigrid technique and the parallelization on distributed memory computers. A solver time comparison to a classical parallel Jacobi preconditioned conjugate gradient method is given.

Received:
Jul 12, 2001
Published:
Jul 12, 2001
Keywords:
eeg/meg-source localization in the human brain, algebraic multigrid, parallel iterative solvers

Related publications

inJournal
2002 Repository Open Access
Carsten H. Wolters, Michael Kuhn, Alfred Anwander and Stefan. Reitzinger

A parallel algebraic multigrid solver for finite element method based source localization in the human brain

In: Computing and visualization in science, 5 (2002) 3, pp. 165-177