Hypermatrix scheme for finite element systems on CDC STAR-100 computer

A Study on Load Imbalance in Parallel Hypermatrix Multiplication Using OpenMP

“…Our application uses a data structure based on a hypermatrix (HM) scheme [1,2], in which a matrix is partitioned recursively into blocks of different sizes. A commercial package known as PERMAS uses the hypermatrix structure for solving very large systems of equations [7].…”

“…We have used a Hypermatrix data structure [1,2] in sequential linear algebra codes. We could obtain efficient implementations in both sparse and dense codes.…”

Optimization of a Statically Partitioned Hypermatrix Sparse Cholesky Factorization

“…Our approach uses a data structure based on a hypermatrix (HM) scheme [10,21]. The matrix is partitioned recursively into blocks of different sizes.…”

Parallel processing techniques for FE analysis: System solution

“…ILLIAC IV, CDC STAR 100, Cray 1, etc. ), many proposals and research about the use of these machines for the programming of the FEM have been published [10][11][12][13][14][15][16][17][18][19][20]. For a more complete survey of these efforts see [21].…”

“…Various parallel computation ideas have been used or proposed for FE analysis [11][12][13][14][15][16][17][18][19][20][21]. The general conclusion drawn from these proposals is that a new FE program must be designed for each different model [17,20].…”