HERMITE

HERMITE

Brandão, D. N.; Buscaglia, G.; Kischinhevsky, M.; Ruas, V.

Full Article:

Traditionally Hermite finite element methods have been used to solve PDE’s of order higher than two. The goal of this work is to show that this technique is very useful for solving second order PDE’s too, whenever the direct determination of quantities expressed in terms of the derivatives of the solution, such as curvatures and fluxes is necessary. Emphasis will be given to applications of these discretization methods in the framework of flows on curved manifolds and flows in highly heterogeneous porous media. Corresponding error analyses and illustrative numerical results are given.

Traditionally Hermite finite element methods have been used to solve PDE’s of order higher than two. The goal of this work is to show that this technique is very useful for solving second order PDE’s too, whenever the direct determination of quantities expressed in terms of the derivatives of the solution, such as curvatures and fluxes is necessary. Emphasis will be given to applications of these discretization methods in the framework of flows on curved manifolds and flows in highly heterogeneous porous media. Corresponding error analyses and illustrative numerical results are given.

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DOI: 10.5151/meceng-wccm2012-19628

Referências bibliográficas

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Como citar:

Brandão, D. N.; Buscaglia, G.; Kischinhevsky, M.; Ruas, V.; "HERMITE", p-3906-3912. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-19628