@Article{IJNAM-5-4, author = {}, 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 = {

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.

}, issn = {2617-8710}, doi = {https://doi.org/2008-IJNAM-834}, url = {https://global-sci.com/article/83736/a-pre-processing-moving-mesh-method-for-discontinuous-galerkin-approximations-of-advection-diffusion-reaction-problems} }