@Article{AAMM-2-303,
author = {Ruas , Vitoriano and Henrique Carneiro De Araujo , José},
title = {A Family of Methods of the DG-Morley Type for Polyharmonic Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2010},
volume = {2},
number = {3},
pages = {303--332},
abstract = {<p style="text-align: justify;">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&nbsp;$\mathbb{R}^n$, 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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.09-m0953},
url = {http://global-sci.org/intro/article_detail/aamm/8333.html}
}