Hybrid Parallelism in Finite Volume Based Algorithms in Application to Two-Dimensional Scattering Problem Setting
We analyze the parallelism particularities of finite volume based computational algorithms. We use a problem set from electrodynamics and parallelize its solution. It serves as an example and illustration of our findings. The tests are carried out on the Zhores supercomputer. The hardware used to ru...
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| Published in: | Computational mathematics and modeling Vol. 31; no. 3; pp. 355 - 363 |
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| Format: | Journal Article |
| Language: | English |
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2020
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| Abstract | We analyze the parallelism particularities of finite volume based computational algorithms. We use a problem set from electrodynamics and parallelize its solution. It serves as an example and illustration of our findings. The tests are carried out on the Zhores supercomputer. The hardware used to run parallel algorithms includes Nvidia Tesla V100 GPUs and Intel Xeon CPUs. We find that finite volume method discretizations work well with parallelization on GPUs. The speedup can be increased by proper CUDA optimizations. However, it is very resource consuming to perform all computations on supercomputer GPUs if the problem size is exceptionally big. Hence, it is necessary to harness every processing power that a supercomputer can offer including CPUs. We offer ways to parallelize the posed problem in a hybrid fashion. |
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| AbstractList | We analyze the parallelism particularities of finite volume based computational algorithms. We use a problem set from electrodynamics and parallelize its solution. It serves as an example and illustration of our findings. The tests are carried out on the Zhores supercomputer. The hardware used to run parallel algorithms includes Nvidia Tesla V100 GPUs and Intel Xeon CPUs. We find that finite volume method discretizations work well with parallelization on GPUs. The speedup can be increased by proper CUDA optimizations. However, it is very resource consuming to perform all computations on supercomputer GPUs if the problem size is exceptionally big. Hence, it is necessary to harness every processing power that a supercomputer can offer including CPUs. We offer ways to parallelize the posed problem in a hybrid fashion. |
| Author | Smirnov, A. P. Matveev, S. A. Rykovanov, S. G. Shestopalov, Y. V. Zagidullin, R. R. |
| Author_xml | – sequence: 1 givenname: R. R. surname: Zagidullin fullname: Zagidullin, R. R. email: melissa.delgado@springer.com organization: Skolkovo Institute of Science and Technology, Lomonosov Moscow State University – sequence: 2 givenname: A. P. surname: Smirnov fullname: Smirnov, A. P. organization: Lomonosov Moscow State University – sequence: 3 givenname: S. A. surname: Matveev fullname: Matveev, S. A. organization: Skolkovo Institute of Science and Technology, Marchuk Institute of Numerical Mathematics, RAS – sequence: 4 givenname: Y. V. surname: Shestopalov fullname: Shestopalov, Y. V. organization: University of Gävle – sequence: 5 givenname: S. G. surname: Rykovanov fullname: Rykovanov, S. G. organization: Skolkovo Institute of Science and Technology |
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| SubjectTerms | Algorithms Applications of Mathematics Central processing units Computational Mathematics and Numerical Analysis CPUs Electrodynamics Finite volume method GPU optimization Graphics processing units Hybrid parallelism Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Optimization Parallel processing Supercomputers Two dimensional analysis |
| Title | Hybrid Parallelism in Finite Volume Based Algorithms in Application to Two-Dimensional Scattering Problem Setting |
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