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Título: | Finite element approximation of fractional Neumann problems |
Autor: | Borthagaray, Juan Pablo Bersetche, Francisco |
Tipo: | Preprint |
Palabras clave: | Numerical analysis, Neumann boundary condition, Fractional Laplacian |
Fecha de publicación: | 2022 |
Resumen: | In this paper, we consider approximations of Neumann problems for the integral fractional Laplacian by continuous, piecewise linear finite elements. We analyze the weak formulation of such problems, including their well-posedness and asymptotic behavior of solutions. We address the convergence of the finite element discretizations and discuss the implementation of the method. Finally, we present several numerical experiments in one- and two-dimensional domains that illustrate the method’s performance as well as certain properties of solutions. |
Descripción: | Publicado también en: IMA Journal of Numerical Analysis, 2022, 42(4): 3207–3240. DOI: 10.1093/imanum/drab064 |
Editorial: | arXiv |
EN: | Mathematics (Numerical Analysis). 2022, arXiv: 2008.06129, Dic 2022, pp. 1-29 |
Citación: | Borthagaray, J y Bersetche, F. "Finite element approximation of fractional Neumann problems" [Preprint]. Publicado en: Mathematics (Numerical Analysis). 2022, arXiv: 2008.06129, Dic 2022, pp. 1-29. DOI: 10.48550/arXiv.2105.06079 |
Aparece en las colecciones: | Publicaciones académicas y científicas - Facultad de Ciencias |
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2008.06129.pdf | 1,06 MB | Adobe PDF | Visualizar/Abrir |
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