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BiCGSTAB for collocation systems on shared memory parallel architectures

Papadopoulou Eleni, Saridakis Ioannis, E. N. Mathioudakis

Πλήρης Εγγραφή


URI: http://purl.tuc.gr/dl/dias/B40A9773-5535-48C4-A011-606761EBC076
Έτος 2001
Τύπος Πλήρης Δημοσίευση σε Συνέδριο
Άδεια Χρήσης
Λεπτομέρειες
Βιβλιογραφική Αναφορά E. Mathioudakis, E. P. Papadopoulou ,Y. G. Saridakis.(2001). BiCGSTAB for collocation systems on shared memory parallel architectures.Presented at International Conference on Numerical Algorithms .[online].Available:http://www.amcl.tuc.gr/_stuff/BiCGSTABshared.pdf
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Περίληψη

We consider the computationally intense problem of solving the large, sparse and non- symmetric system of equations arising from the discretization of Elliptic BVPs by the Col- location finite element method using Hermite Bi-Cubic elements. The size of the problem and a Ritz value analysis suggests the usage of the Symmetric Successive Over-relaxation (SSOR) preconditioned Bi-Conjugate Gradient Stabilized (BiCGSTAB) iterative method for its solution. To induce scalability to our computation, we restructure the Collocation matrix from its block tridiagonal form to a particular red-black ordered form, leading to the development of a well-structured parallel algorithm for the method. The realization of the said algorithm took place on a SGI Origin 2000 shared memory parallel computer. Speed-up measurements are used to reveal the efficiency of our parallel implementation.

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