20170105
For timedependent partial differential equations, parallelintime integration using the "parallel full approximation scheme in space and time" (PFASST) is a promising way to accelerate existing spaceparallel approaches beyond their scaling limits. Inspired by the classical Parareal method and nonlinear multigrid ideas, PFASST allows to integrate multiple timesteps simultaneously using "multilevel spectral deferred corrections" (MLSDC) with different coarsening strategies in space and time. In numerous studies, this approach has been successfully coupled to spaceparallel 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 extremescale 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 SeminarTechnische Universität Darmstadt
Graduate School CE
Dolivostraße 15
D64293 Darmstadt

Send email to assistants' office
Show a list of open BSc/MSc topics at GSC CE.