Computer Methods in Applied Mechanics and Engineering
A multigrid tutorial: second edition
A multigrid tutorial: second edition
Parallel multilevel k-way partitioning scheme for irregular graphs
Supercomputing '96 Proceedings of the 1996 ACM/IEEE conference on Supercomputing
Parallel smoothed aggregation multigrid: aggregation strategies on massively parallel machines
Proceedings of the 2000 ACM/IEEE conference on Supercomputing
Multigrid
A distributed memory unstructured gauss-seidel algorithm for multigrid smoothers
Proceedings of the 2001 ACM/IEEE conference on Supercomputing
Salinas: a scalable software for high-performance structural and solid mechanics simulations
Proceedings of the 2002 ACM/IEEE conference on Supercomputing
Energy Optimization of Algebraic Multigrid Bases
Energy Optimization of Algebraic Multigrid Bases
Parallel multigrid smoothing: polynomial versus Gauss--Seidel
Journal of Computational Physics
Combining performance aspects of irregular gauss-seidel via sparse tiling
LCPC'02 Proceedings of the 15th international conference on Languages and Compilers for Parallel Computing
Proceedings of the 2004 ACM/IEEE conference on Supercomputing
HPCASIA '05 Proceedings of the Eighth International Conference on High-Performance Computing in Asia-Pacific Region
PPM: a highly efficient parallel particle-mesh library for the simulation of continuum systems
Journal of Computational Physics
VECPAR'06 Proceedings of the 7th international conference on High performance computing for computational science
Parallel computing techniques applied to the simultaneous design of structure and material
Advances in Engineering Software
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Accurate micro-finite element analyses of whole bones 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.