ULTRASCALABLE IMPLICIT FINITE ELEMENT ANALYSES IN SOLID MECHANICS WITH
OVER A HALF A BILLION DEGREES OF FREEDOM
M.F. Adams, H.H. Bayraktar, T.M Keaveny and P. Papadopoulos
ACM/IEEE Proceedings of SC2004: High Performance Networking and
Computing
Abstract
The solution of elliptic diffusion operators is the computational bottleneck
in many simulations of engineering and scientific disciplines. We present a
truly scalable - ultrascalable - linear solver for the diffusion operator in
unstructured elasticity problems. Scalability is demonstrated with speedup
studies of a non-linear analysis of a vertebral body with over a half a billion
degrees of freedom on up to 4088 processors on the ASCI White machine. This
work is significant becase in the domain of unstructured implicit finite
element analysis in solid mechanics with complex geometry, this is the first
demonstration of a highly parallel, and efficient, applicaiton of a
mathematically optimal linear solution method on a common large scale
computing platform - the IBM SP Power3.
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