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arXiv · 2103.00348

The variational approach of an elliptic problem and its solution by finite elements

Eriselda Goga·Besiana Hamzallari
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Abstract

In this paper, we deal with an elliptic problem with the Dirichlet boundary condition. We operate in Sobolev spaces and the main analytic tool we use is the Lax-Milgram lemma. First, we present the variational approach of the problem which allows us to apply different functional analysis techniques. Then we study thoroughly the well-posedness of the problem. We conclude our work with a solution of the problem using numerical analysis techniques and the free software freefem++.

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Eriselda Goga, Besiana Hamzallari. 2021-02-27. The variational approach of an elliptic problem and its solution by finite elements. https://arxiv.org/abs/2103.00348

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