Year: 2010
Author: Vitoriano Ruas, José Henrique Carneiro De Araujo
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 3 : pp. 303–332
Abstract
Discontinuous Galerkin methods as a solution technique of second order elliptic problems, have been increasingly exploited by several authors in the past ten years. It is generally claimed the alledged attractive geometrical flexibility of these methods, although they involve considerable increase of computational effort, as compared to continuous methods. This work is aimed at proposing a combination of DGM and non-conforming finite element methods to solve elliptic $m$-harmonic equations in a bounded domain of $\mathbb{R}^n$, for $n$ = 2 or $n$ = 3, with $m $$\geq$$ n+1$, as a valid and reasonable alternative to classical finite elements, or even to boundary element methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0953
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 3 : pp. 303–332
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Discontinuous Galerkin finite elements Hermite tetrahedrons Morley triangle non-conforming polyharmonic equations.