$Parallel-in-time multigrid for space–time finite element approximations of two-dimensional space-fractional diffusion equations$

Parallel-in-time multigrid for space–time finite element approximations of two-dimensional space-fractional diffusion equations

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 tim...

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Veröffentlicht in:	Computers & mathematics with applications (1987) 2019-12, Vol.78 (11), p.3471-3484
Hauptverfasser:	Yue, Xiaoqiang, Shu, Shi, Xu, Xiaowen, Bu, Weiping, Pan, Kejia
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Finite element method Parallel-in-time Parareal Reduction-based multigrid Space-fractional diffusion equations Space–time finite element Time dependence Time integration
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