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

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.

Selected Publications

Carsten Hermann Wolters, M. Kuhn, Alfred Anwander, and S. Reitzinger, "A parallel algebraic multigrid solver for finite element method based source localization in the human brain," Computing and visualization in science 5 (3), 165-177 (2002).

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