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| Main Authors: | , , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.05793 |
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| _version_ | 1866913993557278720 |
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| author | Yamazaki, Ichitaro Ellingwood, Nathan Rajamanickam, Sivasankaran |
| author_facet | Yamazaki, Ichitaro Ellingwood, Nathan Rajamanickam, Sivasankaran |
| contents | ShyLU-node is an open-source software package that implements linear solvers and preconditioners on shared-memory multicore CPUs or on a GPU. It is part of the Trilinos software framework and designed to provide a robust and efficient solution of large-scale linear systems from real-world applications on the current and emerging computers. In this paper, we discuss two sparse direct solvers, Basker and Tacho, and an algebraic preconditioner, FastILU, in ShyLU-node package. These ShyLU solvers and preconditioner can be used as a stand-alone global problem solver, as a local subdomain solver for domain decomposition (DD) preconditioner, or as the coarse-problem solver in algebraic multi-grid preconditioner. We present performance results with the sparse direct solvers for real application problems, namely, Basker for Xyce Circuit Simulations and Tacho for Albany Land-Ice Simulation of Antarctica. FastILU has been also used in real-world applications, but in this paper, we illustrate its performance using 3D model problems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05793 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | ShyLU node: On-node Scalable Solvers and Preconditioners Recent Progresses and Current Performance Yamazaki, Ichitaro Ellingwood, Nathan Rajamanickam, Sivasankaran Numerical Analysis ShyLU-node is an open-source software package that implements linear solvers and preconditioners on shared-memory multicore CPUs or on a GPU. It is part of the Trilinos software framework and designed to provide a robust and efficient solution of large-scale linear systems from real-world applications on the current and emerging computers. In this paper, we discuss two sparse direct solvers, Basker and Tacho, and an algebraic preconditioner, FastILU, in ShyLU-node package. These ShyLU solvers and preconditioner can be used as a stand-alone global problem solver, as a local subdomain solver for domain decomposition (DD) preconditioner, or as the coarse-problem solver in algebraic multi-grid preconditioner. We present performance results with the sparse direct solvers for real application problems, namely, Basker for Xyce Circuit Simulations and Tacho for Albany Land-Ice Simulation of Antarctica. FastILU has been also used in real-world applications, but in this paper, we illustrate its performance using 3D model problems. |
| title | ShyLU node: On-node Scalable Solvers and Preconditioners Recent Progresses and Current Performance |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2506.05793 |