Open AccessBifurcation analysis field potential in isotropic materials defined by semi-spherical layers using finite elements
Author(s) -
Rogelio Ospina,
Gerard Amor Correa,
Prieto Cárdenas
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1386/1/012110
Subject(s) - finite element method , galerkin method , isotropy , mathematics , mathematical analysis , field (mathematics) , set (abstract data type) , algebraic equation , bifurcation , numerical analysis , finite field , differential equation , computer science , pure mathematics , physics , discrete mathematics , nonlinear system , quantum mechanics , thermodynamics , programming language
In this document, the finite element method is developed in three dimensions to find the potential field in a region composed of hemispherical shells defining subregions with different materials, the numerical solution is made by FlexPDE software version 7.12 and the general process to solve is shown Problems of three-dimensional differential equations using the Galerkin criterion to approximate functions by the linear combination of functions of form, thus, the differential problem is reduced to solve a set of algebraic equations to find the coefficients of the linear combination.