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Análise da Convergência da Solução de Equações Lineares Elípticas sob um Esquema de Diferenças Finitas Generalizadas (MDFG)

Izquierdo, Daniel | 2018

The Generalized Finite Difference Method as a meshless method alternative is used to solve partial differential equations in domains with high irregular geometry. A proof of convergence of GFDM is given studying the consistency of truncation error of linear elliptic partial equation problems at 2D, using n-degree polynomial. As an example, the convergence of method is calculated for a bi-dimentional Poisson equation problem supported over a disperse nodes net representing a rectangular domain.