APPLICATIONS OF ALGEBRAIC MULTIGRID TO LARGE-SCALE FINITE ELEMENT
ANALYSIS
OF WHOLE BONE MICRO-MECHANICS ON THE IBM SP
M.F. Adams, H.H. Bayraktar, T.M Keaveny and P. Papadopoulos
ACM/IEEE Proceedings of SC2003: High Performance Networking and
Computing
Abstract
Accurate micro-finite element analyses of whole bone require the solution of
large sets of algebraic equations. Multigrid has proven to be an effective
approach to the design of highly scalable linear solvers for solid mechanics
problems. We present some of the first applications of scalable linear
solvers, on massively parallel computers, to whole vertebral body structural
analysis. We analyze the performance of our algebraic multigrid (AMG) methods
on problems with over 237 million degrees of freedom on IBM SP parallel
computers. We demonstrate excellent parallel scalability, both in the
algorithms and the implementations, and analyze the nodal performance of the
important AMG kernels on the IBM Power3 and Power4 architectures.
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