Artigo

On convergence and solvability of an elliptic equation by finite difference method

In this article we deal with questions of convergence, existence and uniqueness of the numerical solutions for a discretized elliptic problem by using finite difference method. In order to show existence and uniqueness of numerical solutions we will use a suitable variational setup (at discrete leve...

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Autor principal: RAMOS, Anderson de Jesus Araújo
Grau: Artigo
Idioma: por
Publicado em: Universidade Federal do Pará 2018
Assuntos:
Acesso em linha: http://repositorio.ufpa.br/jspui/handle/2011/10353
http://dx.doi.org/10.5540/tema.2017.018.01.0035
Resumo:
In this article we deal with questions of convergence, existence and uniqueness of the numerical solutions for a discretized elliptic problem by using finite difference method. In order to show existence and uniqueness of numerical solutions we will use a suitable variational setup (at discrete level) to guarantee the existence of a numerical solution by means of a finite difference method