Salinas: A Scalable Software for High-Performance Structural and Solid Mechanics Simulations

Bhardwaj, Manoj; Pierson, Kendall H.; Reese, Garth M.; Walsh, Tim; Day, David; Alvin, K. F.; Peery, J.S.; Farhat, Charbel; Lesoinne, Michel

doi:10.1109/sc.2002.10028

Cited by 58 publications

(50 citation statements)

References 30 publications

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“…This in turn suggests that a FETI method that is wellimplemented on a parallel processor should be capable of solving an n-times larger problem using an n-times larger number of processors in almost a constant amount of CPU time. Indeed, these numerical and parallel scalability properties have been demonstrated in practice for many complex structural mechanics and structural dynamics problems (for example, see [15,16] and the references cited therein).…”

Section: The Feti-dp Methodsmentioning

confidence: 99%

An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics

Farhat

2005

Applied Numerical Mathematics

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The FETI-DP domain decomposition method (DDM) is extended to address the iterative solution of a class of indefinite problems of the form (A − σM)x = b, where A and M are two real symmetric positive semi-definite matrices arising from the finite element discretization of second-order elastodynamic problems, and σ is a positive number. A key component of this extension is a new coarse problem based on the free-space solutions of Navier's homogeneous displacement equations of motion. These solutions are waves, and therefore the resulting DDM is reminiscent of the FETI-H method. For this reason, it is named here the FETI-DPH method. For a given σ, this method is numerically shown to be scalable with respect to all of the problem size, subdomain size, and number of subdomains. Its intrinsic CPU performance is illustrated for various ranges of σ with the solution on an Origin 3800 parallel processor of several large-scale structural dynamics problems.

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Section: The Feti-dp Methodsmentioning

confidence: 99%

An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics

Farhat

2005

Applied Numerical Mathematics

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“…We implemented two approaches discussed in [4]. In the case of relatively small C studied here one can invert C in parallel by duplicating it across a group of processors so that each computes a column of C −1 by a direct solver, for which we employed SPOOLES.…”

Section: Parallel Implementation and Resultsmentioning

confidence: 99%

“…Let S (l) denote the Schur complement of K (l) , see (4), with respect to unknowns at the nodal points of ∂Ω l . This matrix is represented as…”

Section: Feti-dp Equation and Preconditionermentioning

confidence: 99%

“…We adopt here the definition of scalability of [3] and [4]: solving n-times larger problem using an n-times larger number of processors in nearly constant cpu time. Domain decomposition algorithms using FETI-DP solvers ( [7], [8], [9], [10]) have been demonstrated to provide scalable performance on massively parallel processors, see [4] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

“…Domain decomposition algorithms using FETI-DP solvers ( [7], [8], [9], [10]) have been demonstrated to provide scalable performance on massively parallel processors, see [4] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Parallel Scalability of a FETI—DP Mortar Method for Problems with Discontinuous Coefficients

Dokeva

Proskurowski

Lecture Notes in Computational Science and Engineering

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Summary.We consider elliptic problems with discontinuous coefficients discretized by finite elements on non-matching triangulations across the interface using the mortar technique. The resulting discrete problem is solved by a FETI-DP method using a preconditioner with a special scaling described in a forthcoming paper by Dokeva, Dryja and Proskurowski. Experiments performed on up to a thousand processors show that this FETI-DP mortar method exhibits good parallel scalability.

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Evaluating high‐performance computers

Vetter

Supinski

Kissel

et al. 2005

Concurrency and Computation

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SUMMARYComparisons of high-performance computers based on their peak floating point performance are common but seldom useful when comparing performance on real workloads. Factors that influence sustained performance extend beyond a system's floating-point units, and real applications exercise machines in complex and diverse ways. Even when it is possible to compare systems based on their performance, other considerations affect which machine is best for a given organization. These include the cost, the facilities requirements (power, floorspace, etc.), the programming model, the existing code base, and so on. This paper describes some of the important measures for evaluating high-performance computers. We present data for many of these metrics based on our experience at Lawrence Livermore National Laboratory (LLNL), and we compare them with published information on the Earth Simulator. We argue that evaluating systems involves far more than comparing benchmarks and acquisition costs. We show that evaluating systems often involves complex choices among a variety of factors that influence the value of a supercomputer to an organization, and that the high-end computing community should view cost/performance comparisons of different architectures with skepticism. Published in 2005 by John Wiley & Sons, Ltd.

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Salinas: A Scalable Software for High-Performance Structural and Solid Mechanics Simulations

Cited by 58 publications

References 30 publications

An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics

An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics

Parallel Scalability of a FETI—DP Mortar Method for Problems with Discontinuous Coefficients

Evaluating high‐performance computers

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