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Numerical Algorithms
Erschienen in: Numerical Algorithms 1/2021

08.08.2020 | Original Paper

Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers

verfasst von: X. Antoine, E. Lorin, Y. Zhang

Erschienen in: Numerical Algorithms | Ausgabe 1/2021

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Abstract

This paper is devoted to the derivation and analysis of accurate and efficient perfectly matched layers (PMLs) or efficient absorbing layers for solving fractional Laplacian equations within initial boundary value problems (IBVP). Two main approaches are derived: we first propose a Fourier-based pseudospectral method, and then present a real space method based on an efficient computation of the fractional Laplacian with PML. Some numerical experiments and analytical results are proposed along the paper to illustrate the presented methods.
Vorheriger Artikel A fast linearized numerical method for nonlinear time-fractional diffusion equations
Nächster Artikel Kernel-based interpolation at approximate Fekete points

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Metadaten
Titel
Derivation and analysis of computational methods for fractional Laplacian equations with absorbing layers
verfasst von
X. Antoine
E. Lorin
Y. Zhang
Publikationsdatum
08.08.2020
Verlag
Springer US
Erschienen in
Numerical Algorithms / Ausgabe 1/2021
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-020-00972-z

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