Parallel-in-Time Integration with PFASST

Dr. Robert Speck, Forschungszentrum Juelich GmbH

30 Jan 2017, 16:15–17:45; Location: S2|17-103

For time-dependent partial differential equations, parallel-in-time integration using the "parallel full approximation scheme in space and time" (PFASST) is a promising way to accelerate existing space-parallel approaches beyond their scaling limits. Inspired by the classical Parareal method and non-linear multigrid ideas, PFASST allows to integrate multiple time-steps simultaneously using "multi-level spectral deferred corrections" (MLSDC) with different coarsening strategies in space and time. In numerous studies, this approach has been successfully coupled to space-parallel solvers which use finite differences, spectral methods or even particles for discretization in space. In this talk, we highlight in particular the interweaving of PFASST with a parallel multigrid solver in space and show extreme-scale benchmarks on up to 448K cores of the IBM Blue Gene/Q installation JUQUEEN. We then formulate PFASST itself as a specialized FAS multigrid method to provide a much easier access to the mathematical analysis and algorithmic optimization of this approach. In addition, we discuss possible extensions and sketch further research directions for the future of PFASST.

Category: CE Seminar


Technische Universität Darmstadt

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