TY - JOUR
T1 - Local Fourier Analysis for Edge-Based Discretizations on Triangular Grids
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 78
EP - 96
PY - 2015
DA - 2015/08
SN - 8
DO - http://doi.org/10.4208/nmtma.2015.w07si
UR - https://global-sci.org/intro/article_detail/nmtma/12400.html
KW - 
AB - <p style="text-align: justify;">In this paper, we present a local Fourier analysis framework for analyzing
the different components within multigrid solvers for edge-based discretizations on
triangular grids. The different stencils associated with edges of different orientation
in a triangular mesh make this analysis special. The resulting tool is demonstrated
for the vector Laplace problem discretized by mimetic finite difference schemes.
Results from the local Fourier analysis, as well as experimentally obtained results,
are presented to validate the proposed analysis.</p>