2022/07/05 by Stefan Frei, Frei, Stefan, Alexander Heinlein +1
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Electromagnetic Simulation and Numerical Methods #Advanced Numerical Methods in Computational Mathematics
paper · pdf · doi:10.48550/arxiv.2207.02081
In order to make the numerical simulation of atherosclerotic plaque growth feasible, a temporal homogenization approach is employed. The resulting macro-scale problem for the plaque growth can be further accelerated by using parallel time integration schemes, such as the parareal algorithm. However, the parallel scalability is dominated by the computational cost of the coarse propagator. Therefore, in this paper, an interpolation-based coarse propagator, which uses growth values from previously computed micro-scale problems, is introduced. For a simple model problem, it is shown that this approach reduces both the computational work for a single parareal iteration as well as the required number of parareal iterations.