Estimativos de error para un método de Galerkin libre de mallas en múltiples dimensiones con derivadas difusas y estabilización

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Mauricio Osorio https://orcid.org/0000-0001-5359-4816
Donald French

Keywords

Método libre de mallas, derivadas difusas, mínimos cuadrados en movimiento, método de elementos difusos, estimativos de error.

Resumen

Se presenta un método libre de mallas con derivadas difusas y estabilización por penalización. Un análisis de error para la aproximación de la solución de una ecuación elíptica general en múltiples dimensiones, con condiciones de frontera tipo Neumann es desarrollado. Resultados numéricos y teóricos muestran que el error de aproximación y la velocidad de convergencia son mejores que en el método de elementos difusos.


MSC: 65N12, 65N15, 65N30

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