modeling of electromagnetic methods. calculate derivatives is generally a task indispensable.
In this paper, we solve numerically the Poisson equation with conditions homogeneous
Dirichlet using the nite element method. The discretization of the domain for implementation
of the method is achieved using a free software unstructured mesh generation, Triangle.
Therefore, we describe how to generate a mesh using Triangle.
To calculate the numerical derivatives are used two methods. basing it on the rst derive
the basis functions, the derivative at a node is equal to the average of the gradients basis
functions in the neighborhood of this node. Second, it is a sliding t by least weighted
square, where the weight is defn a Gaussian function. the results the numerical derivative
are obtained from successive re nements of the mesh elements and compared with the nite
derived from the analytical solution. First is used to analytical solution to evaluate the error
Acquired by the calculation of the derivatives and then the numerical solution. Then, we
evaluate the e ciency of the methods.
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