The Roles of Sparse Direct Methods in Large-scale Simulations

Conference · Mon Jun 27 04:00:00 EDT 2005

OSTI ID:843015

Li, Xiaoye S ^[1]; Gao, Weiguo; Husbands, Parry J.R.; Yang, Chao; Ng, Esmond G

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1. LBNL Library

Sparse systems of linear equations and eigen-equations arise at the heart of many large-scale, vital simulations in DOE. Examples include the Accelerator Science and Technology SciDAC (Omega3P code, electromagnetic problem), the Center for Extended Magnetohydrodynamic Modeling SciDAC(NIMROD and M3D-C1 codes, fusion plasma simulation). The Terascale Optimal PDE Simulations (TOPS)is providing high-performance sparse direct solvers, which have had significant impacts on these applications. Over the past several years, we have been working closely with the other SciDAC teams to solve their large, sparse matrix problems arising from discretization of the partial differential equations. Most of these systems are very ill-conditioned, resulting in extremely poor convergence deployed our direct methods techniques in these applications, which achieved significant scientific results as well as performance gains. These successes were made possible through the SciDAC model of computer scientists and application scientists working together to take full advantage of terascale computing systems and new algorithms research.

• Research Organization: Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US)
• Sponsoring Organization: USDOE Director. Office of Science. Advanced Scientific Computing Research
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 843015
• Report Number(s): LBNL--58654
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
99 GENERAL AND MISCELLANEOUS
ACCELERATORS
ALGORITHMS
COMPUTERS
CONVERGENCE
MAGNETOHYDRODYNAMICS
PARTIAL DIFFERENTIAL EQUATIONS
PERFORMANCE
PLASMA
SIMULATION
computer simulations sparse direct methods SciDAC