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Solving large sparse linear systems in end-to-end accelerator structure simulations | IEEE Conference Publication | IEEE Xplore

Solving large sparse linear systems in end-to-end accelerator structure simulations


Abstract:

Summary form only given. We present a case study of solving very large sparse linear systems in end-to-end accelerator structure simulations. Both direct solvers and iter...Show More

Abstract:

Summary form only given. We present a case study of solving very large sparse linear systems in end-to-end accelerator structure simulations. Both direct solvers and iterative solvers are investigated. A parallel multilevel preconditioner based on hierarchical finite element basis functions is considered and has been implemented to accelerate the convergence of iterative solvers. A linear system with matrix size 93,147,736 and with 3,964,961,944 nonzeros from 3D electromagnetic finite element discretization has been solved in less than 8 minutes with 1024 CPUs on the NERSC IBM SP. The resource utilization as well as the application performance for these solvers is discussed.
Date of Conference: 26-30 April 2004
Date Added to IEEE Xplore: 07 June 2004
Print ISBN:0-7695-2132-0
Conference Location: Santa Fe, NM, USA

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