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Journal of Scientific Computing
Erschienen in: Journal of Scientific Computing 1/2018

21.04.2018

Finite Element Approximation for the Fractional Eigenvalue Problem

verfasst von: Juan Pablo Borthagaray, Leandro M. Del Pezzo, Sandra Martínez

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2018

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Abstract

The purpose of this work is to study a finite element method for finding solutions to the eigenvalue problem for the fractional Laplacian. We prove that the discrete eigenvalue problem converges to the continuous one and we show the order of such convergence. Finally, we perform some numerical experiments and compare our results with previous work by other authors.
Vorheriger Artikel A Stable Fast Time-Stepping Method for Fractional Integral and Derivative Operators
Nächster Artikel High Spatial Order Energy Stable FDTD Methods for Maxwell’s Equations in Nonlinear Optical Media in One Dimension

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Metadaten
Titel
Finite Element Approximation for the Fractional Eigenvalue Problem
verfasst von
Juan Pablo Borthagaray
Leandro M. Del Pezzo
Sandra Martínez
Publikationsdatum
21.04.2018
Verlag
Springer US
Erschienen in
Journal of Scientific Computing / Ausgabe 1/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI
https://doi.org/10.1007/s10915-018-0710-1

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