IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
artículos
Título:
Finite Element Approximation for the Fractional Eigenvalue Problem
Autor/es:
BORTHAGARAY, JUAN PABLO; DEL PEZZO, LEANDRO M.; MARTÍNEZ, SANDRA
Revista:
JOURNAL OF SCIENTIFIC COMPUTING
Editorial:
SPRINGER/PLENUM PUBLISHERS
Referencias:
Lugar: New York; Año: 2018 vol. 77 p. 308 - 329
ISSN:
0885-7474
Resumen:
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.