Artículo
Acosta, G.; Bersetche, F.M.; Borthagaray, J.P. "A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian" (2017) Computers and Mathematics with Applications. 74(4):784-816
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Abstract:
In Acosta etal. (2017), a complete n-dimensional finite element analysis of the homogeneous Dirichlet problem associated to a fractional Laplacian was presented. Here we provide a comprehensive and simple 2D MATLAB ® finite element code for such a problem. The code is accompanied with a basic discussion of the theory relevant in the context. The main program is written in about 80 lines and can be easily modified to deal with other kernels as well as with time dependent problems. The present work fills a gap by providing an input for a large number of mathematicians and scientists interested in numerical approximations of solutions of a large variety of problems involving nonlocal phenomena in two-dimensional space. © 2017 Elsevier Ltd
Registro:
| Documento: | Artículo |
| Título: | A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian |
| Autor: | Acosta, G.; Bersetche, F.M.; Borthagaray, J.P. |
| Filiación: | IMAS - CONICET, Ciudad Universitaria, Pabellón I (1428) Buenos Aires, Argentina Departamento de Matemática, FCEyN - Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I (1428) Buenos Aires, Argentina |
| Palabras clave: | Finite elements; Fractional Laplacian; Nonlocal operators; Boundary value problems; Laplace transforms; MATLAB; Dirichlet problem; Finite element codes; Fractional Laplacian; Non-local phenomena; Nonlocal operator; Numerical approximations; Time-dependent problem; Two dimensional spaces; Finite element method |
| Año: | 2017 |
| Volumen: | 74 |
| Número: | 4 |
| Página de inicio: | 784 |
| Página de fin: | 816 |
| DOI: | http://dx.doi.org/10.1016/j.camwa.2017.05.026 |
| Título revista: | Computers and Mathematics with Applications |
| Título revista abreviado: | Comput Math Appl |
| ISSN: | 08981221 |
| CODEN: | CMAPD |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08981221_v74_n4_p784_Acosta |
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Citas:
---------- APA ----------
Acosta, G., Bersetche, F.M. & Borthagaray, J.P. (2017) . A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian. Computers and Mathematics with Applications, 74(4), 784-816.http://dx.doi.org/10.1016/j.camwa.2017.05.026
---------- CHICAGO ----------
Acosta, G., Bersetche, F.M., Borthagaray, J.P. "A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian" . Computers and Mathematics with Applications 74, no. 4 (2017) : 784-816.http://dx.doi.org/10.1016/j.camwa.2017.05.026
---------- MLA ----------
Acosta, G., Bersetche, F.M., Borthagaray, J.P. "A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian" . Computers and Mathematics with Applications, vol. 74, no. 4, 2017, pp. 784-816.http://dx.doi.org/10.1016/j.camwa.2017.05.026
---------- VANCOUVER ----------
Acosta, G., Bersetche, F.M., Borthagaray, J.P. A short FE implementation for a 2d homogeneous Dirichlet problem of a fractional Laplacian. Comput Math Appl. 2017;74(4):784-816.http://dx.doi.org/10.1016/j.camwa.2017.05.026
