@Article{IJNAM-5-704,
author = {P. F. Antonietti and P. Houston},
title = {A Pre-Processing Moving Mesh Method for Discontinuous Galerkin Approximations of Advection-Diffusion-Reaction Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {4},
pages = {704--728},
abstract = {<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>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/834.html}
}