Monday 07 Nov 2016: Parallel in Time Simulation with Oscillatory Stiffness
Adam Peddle - University of Exeter
The Asymptotic Parallel-in-Time (APinT) method extends the standard Parareal method such that rapid convergence may be achieved even in the presence of oscillatory stiffness. The method employs averaging over the fast waves in the coarse solve, which provides a much more accurate approximation to the solution over long time intervals. It has been shown previously that this method converges rapidly in the asymptotic limit of scale separation. In this work, we show that the window over which averaging is performed may be chosen such that rapid convergence is possible over a much broader flow regime. A method for optimising the wave averaging window is also explored.