Accelerating High-Order Mesh Optimization Using Finite Element Partial Assembly on GPUs
| Autor: | Jean-Sylvain Camier, Veselin Dobrev, Patrick Knupp, Tzanio Kolev, Ketan Mittal, Robert Rieben, Vladimir Tomov |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
FOS: Computer and information sciences
Numerical Analysis Physics and Astronomy (miscellaneous) Applied Mathematics FOS: Physical sciences Computational Physics (physics.comp-ph) Computer Science Applications Computational Mathematics Computer Science::Graphics Computer Science - Distributed Parallel and Cluster Computing Modeling and Simulation Computer Science - Mathematical Software Distributed Parallel and Cluster Computing (cs.DC) Mathematical Software (cs.MS) Physics - Computational Physics ComputingMethodologies_COMPUTERGRAPHICS |
| Popis: | In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Target-Matrix Optimization Paradigm (TMOP) and uses a global nonlinear solve over the whole computational mesh, i.e., all mesh nodes are moved together. A key property of the method is that the mesh optimization process is recast in terms of finite element operations, which allows us to utilize recent advances in the field of GPU-accelerated high-order finite element algorithms. For example, we reduce data motion by using tensor factorization and matrix-free methods, which have superior performance characteristics compared to traditional full finite element matrix assembly and offer advantages for GPU-based HPC hardware. We describe the major mathematical components of the method along with their efficient GPU-oriented implementation. In addition, we propose an easily reproducible mesh optimization test that can serve as a performance benchmark for the mesh optimization community. 28 pages, 10 figures, 3 tables |
| Databáze: | OpenAIRE |
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