Towards Perfectly Matched Layers for time-dependent space fractional PDEs

Antoine, Xavier; Lorin, Emmanuel

doi:10.1016/j.jcp.2019.04.025

Antoine, X. (Xavier) and E. Lorin (Emmanuel)

2019-08-15

Towards Perfectly Matched Layers for time-dependent space fractional PDEs

Journal of Computational Physics , Volume 391 p. 59- 90

Perfectly Matched Layers (PML) are proposed for time-dependent space fractional PDEs. Within this approach, widely used powerful Fourier solvers based on FFTs can be adapted without much effort to compute Initial Boundary Value Problems (IBVP) for well-posed fractional equations with absorbing boundary layers. We analyze mathematically the method and propose some illustrating numerical experiments.

Additional Metadata
Keywords	Fourier pseudospectral approximation, Fractional partial differential equations, Perfectly matched layer, Time splitting scheme, Unbounded domain
Persistent URL	doi.org/10.1016/j.jcp.2019.04.025
Journal	Journal of Computational Physics
Organisation	School of Mathematics and Statistics
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Antoine, X. (Xavier), & Lorin, E. (2019). Towards Perfectly Matched Layers for time-dependent space fractional PDEs. Journal of Computational Physics, 391, 59–90. doi:10.1016/j.jcp.2019.04.025

Towards Perfectly Matched Layers for time-dependent space fractional PDEs

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Towards Perfectly Matched Layers for time-dependent space fractional PDEs

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