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- W2954466520 abstract "The paper investigates a non-intrusive parallel time integration with multigrid for space-fractional diffusion equations in two spatial dimensions, which is discretized by the space–time finite element method to propagate solutions. We develop a multigrid-reduction-in-time (MGRIT) algorithm with time-dependent time-grid propagators and provide its two-level convergence theory under the assumptions of the stability and simultaneous diagonalizability on time-grid propagators. Numerical results show that the proposed method possesses the saturation error order, theoretical results of the two-level variant deliver good predictions for our model problems, and significant speedups of the MGRIT can be achieved when compared to the two-level variant with F-relaxation (an equivalent version of the parareal algorithm) and the sequential time-stepping approach." @default.
- W2954466520 created "2019-07-12" @default.
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- W2954466520 date "2019-12-01" @default.
- W2954466520 modified "2023-10-15" @default.
- W2954466520 title "Parallel-in-time multigrid for space–time finite element approximations of two-dimensional space-fractional diffusion equations" @default.
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- W2954466520 doi "https://doi.org/10.1016/j.camwa.2019.05.017" @default.
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