This paper presents the application of Galerkin method to discretize the model equation of groundwater ow in a conned aquifer semipermeable with tidal boundary conditions on one of itsborders, the other borders remain constant. For the simulations was generated a numerical program, Ground Water Finite Element Method, which implements the method of nite elements withtriangular elements with three nodes and a degree of freedom per node.

This paper presents the application of Galerkin method to discretize the model equation of groundwater ow in a conned aquifer semipermeable with tidal boundary conditions on one of itsborders, the other borders remain constant. For the simulations was generated a numerical program, Ground Water Finite Element Method, which implements the method of nite elements withtriangular elements with three nodes and a degree of freedom per node.

Study the behavior of an elliptical problem is often very difficult due to the geometry of the domain and the boundary conditions, so it is necessary to use numerical methods to find a solution. The finiteelement method has proven to be efficient to treat problems of non-regular geometry and complicated parameters. This research has taken as reference the Poisson problem with mixed boundary conditions. It has proved the existence and uniqueness of a weak solution verifying the hypothesis Lax-Milgram theorem.The domain is discretized into triangular elements with three nodes and a degree of freedom per node and to discretize the differential equation has been used Galerkin method.

Study the behavior of an elliptical problem is often very difficult due to the geometry of the domain and the boundary conditions, so it is necessary to use numerical methods to find a solution. The finiteelement method has proven to be efficient to treat problems of non-regular geometry and complicated parameters. This research has taken as reference the Poisson problem with mixed boundary conditions. It has proved the existence and uniqueness of a weak solution verifying the hypothesis Lax-Milgram theorem.The domain is discretized into triangular elements with three nodes and a degree of freedom per node and to discretize the differential equation has been used Galerkin method.

En este trabajo se ha investigado el comportamiento numérico de la solución de la ecuación de Poisson                −div(a(x)grad u) = f(x), x ∈ Ω ⊆ Rncon condiciones de Dirichlet homog´eneas en la frontera u = 0,       x ∈ ∂ Ω y coeficiente a(x) discontinuo y acotada, f(x) discontinua, utilizando elementos finitos adaptativos sobre una malla de elementos triangular.Para determinar la solución del problema de contorno se ha generado un programa numérico que implementa el método de los elementos finitos adaptativo sobre una región rectangular llegando a determinar que la solución u(x) es afectada por la discontinuidad del coeficiente a(x) y no por la discontinuidad de la función f(x) para lo cual se ha tenido que refinar la malla sobre los elementos en los cuales se ha detectado el mayor error de aproximación. Para disminuir el error de aproxim...

En este trabajo se ha investigado el comportamiento numérico de la solución de la ecuación de Poisson                −div(a(x)grad u) = f(x), x ∈ Ω ⊆ Rncon condiciones de Dirichlet homog´eneas en la frontera u = 0,       x ∈ ∂ Ω y coeficiente a(x) discontinuo y acotada, f(x) discontinua, utilizando elementos finitos adaptativos sobre una malla de elementos triangular.Para determinar la solución del problema de contorno se ha generado un programa numérico que implementa el método de los elementos finitos adaptativo sobre una región rectangular llegando a determinar que la solución u(x) es afectada por la discontinuidad del coeficiente a(x) y no por la discontinuidad de la función f(x) para lo cual se ha tenido que refinar la malla sobre los elementos en los cuales se ha detectado el mayor error de aproximación. Para disminuir el error de aproxim...