| Journal: | Revista mexicana de física |
| Database: | PERIÓDICA |
| System number: | 000438808 |
| ISSN: | 0035-001X |
| Authors: | Sánchez Chávez, H.D1 López Ortiz, C.A1 Flores Cano, L1 |
| Institutions: | 1Universidad Tecnológica de la Mixteca, Departamento de Física, Huajuapan de León, Oaxaca. México |
| Year: | 2019 |
| Season: | May-Jun |
| Volumen: | 65 |
| Number: | 3 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, teórico |
| English abstract | In this study we explore the application of the novel Fractional Calculus in Fractal Continuum (FCFC), together with the Finite Element Method (FEM), in order to analize explicitly how these differential operators act in the process of discretizing the generalized fractional pressure diffusion equation for a three-dimensional anisotropic continuous fractal flow. The Master Finite Element Equation for arbitrary interpolation functions is obtained. As an example, MFEE for the case of a generic linear tetrahedron in ℝ 3 is shown. Analytic solution for the spatial variables is determined over a canonical tetrahedral finite element in global coordinates |
| Disciplines: | Física y astronomía |
| Keyword: | Elementos finitos, Cálculo fraccional en continuo fractal, Flujo fractal continuo anisotrópico, Ecuación de difusión de presión fraccional, Mecánica de medios continuos |
| Keyword: | Finite elements, Fractional calculus in fractal continuum, Anisotropic continuous fractal flow, Fractional pressure diffusion equation, Continuum mechanics |
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