TY - JOUR
T1 - A Family of Methods of the DG-Morley Type for Polyharmonic Equations
AU - Ruas , Vitoriano
AU - Henrique Carneiro De Araujo , José
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 303
EP - 332
PY - 2010
DA - 2010/03
SN - 2
DO - http://doi.org/10.4208/aamm.09-m0953
UR - https://global-sci.org/intro/article_detail/aamm/8333.html
KW - Discontinuous Galerkin, finite elements, Hermite tetrahedrons, Morley triangle,
non-conforming, polyharmonic equations.
AB - <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>