Examinando por Materia "Functions of real variables"
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Ítem A Fixed Grid method for hyperelastic models in large strain analysis using the level set method(Universidad EAFIT, 2014) Ramírez Benítez, William Alberto; García Ruíz, Manuel JulioA Fixed Grid Finite Element Method (FGFEM) in addition to a Mooney-Rivlin hyperelastic model is introduced. This method uses the mixed finite element formulation to treat the elements, but classifying these in a fixed cartesian grid that is superimposed over the model geometry -- In order to do this, the boundary tracking is achieved by solving the level set equation -- A numerical extrapolation of the displacement field from the solid domain to the entire fixed grid domain is done -- The system of equations are solved by the use of an incremental Newton-Raphson scheme -- Finally, some numerical examples are implemented and good convergence results are obtained for the displacement field, showing that FGFEM for the hyperelastic model is suitable for mechanical problems undergoing large strains and large displacementsÍtem Adaptative cubical grid for isosurface extraction(2009) Congote, John; Moreno, Aitor; Barandiaran, Iñigo; Barandiaran, Javier; Ruíz, Óscar E.; Universidad EAFIT. Departamento de Ingeniería Mecánica; Laboratorio CAD/CAM/CAEThis work proposes a variation on the Marching Cubes algorithm, where the goal is to represent implicit functions with higher resolution and better graphical quality using the same grid size -- The proposed algorithm displaces the vertices of the cubes iteratively until the stop condition is achieved -- After each iteration, the difference between the implicit and the explicit representations are reduced, and when the algorithm finishes, the implicit surface representation using the modified cubical grid is more detailed, as the results shall confirm -- The proposed algorithm corrects some topological problems that may appear in the discretisation process using the original gridÍtem Funciones(Universidad EAFIT, 2015) Esteban Duarte, Pedro Vicente; Esteban Duarte, Pedro Vicente. Universidad EAFIT, Escuela de Ciencias, Ciencias Básicas, Medellín, Colombia; Proyecto 50El concepto de función es tal vez el más importan en el Cálculo -- A partir de él, se definen el límite, la continuidad, la derivada, la integral de funciones, etc. -- Además, las funciones describen modelos en muchas ramas de la ciencia, como la Física, la Economía, la Biología, entre otras -- El estudio de las funciones, sus propiedades, gráficas e interpretaciones, acordes con el contexto, permiten describir un sin número de aplicaciones y solucionar una gran variedad de problemas de diversos tiposÍtem On the critical point structure of eigenfunctions belonging to the first nonzero eigenvalue of a genus two closed hyperbolic surface(2012-05-30) Cadavid, Carlos A.; Osorno, María C.; Ruíz, Óscar E.; Universidad EAFIT. Departamento de Ingeniería Mecánica; Laboratorio CAD/CAM/CAEWe develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold -- The method is applied to a closed hyperbolic surface of genus two -- The results obtained agree with the ones obtained by other authors by different methods, and they serve as experimental evidence supporting the conjectured fact that the generic eigenfunctions belonging to the first nonzero eigenvalue of a closed hyperbolic surface of arbitrary genus are Morse functions having the least possible total number of critical points among all Morse functions admitted by such manifoldsÍtem Sobre funciones exponenciales y logarítmicas deformadas según Kaniadakis(Universidad EAFIT, 2011-06) Deossa Casas, Dora Esther; Loaiza Ossa, Gabriel Ignacio