TY - JOUR
T1 - A Pre-Processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems
AU - P. F. Antonietti & P. Houston
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 704
EP - 728
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/834.html
KW - discontinuous Galerkin methods, advection-diffusion problems, adaptivity.
AB - <p style="text-align: justify;">We propose a pre-processing mesh re-distribution algorithm
based upon harmonic maps employed in conjunction with discontinuous
Galerkin approximations of advection-diffusion-reaction problems.
Extensive two-dimensional numerical experiments with different choices
of monitor functions, including monitor functions derived from
goal-oriented a posteriori error indicators are presented. The examples
presented clearly demonstrate the capabilities and the benefits of
combining our pre-processing mesh movement algorithm with both uniform,
as well as, adaptive isotropic and anisotropic mesh refinement.</p>