TY - JOUR
T1 - Effect of Element Distortion on the Numerical Dispersion of Spectral Element Methods
AU - S. P. Oliveira & G. Seriani
JO - Communications in Computational Physics
VL - 4
SP - 937
EP - 958
PY - 2011
DA - 2011/09
SN - 9
DO - http://doi.org/10.4208/cicp.071109.080710a
UR - https://global-sci.org/intro/article_detail/cicp/7529.html
KW - 
AB - <p style="text-align: justify;">Spectral element methods are well established in the field of wave propagation,
in particular because they inherit the flexibility of finite element methods and
have low numerical dispersion error. The latter is experimentally acknowledged, but
has been theoretically shown only in limited cases, such as Cartesian meshes. It is
well known that a finite element mesh can contain distorted elements that generate
numerical errors for very large distortions. In the present work, we study the effect
of element distortion on the numerical dispersion error and determine the distortion
range in which an accurate solution is obtained for a given error tolerance. We also discuss
a double-grid calculation of the spectral element matrices that preserves accuracy
in deformed geometries.</p>