TY - JOUR
T1 - A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems
AU - Fausto Cavalli, Giovanni Naldi, Gabriella Puppo & Matteo Semplice
JO - Communications in Computational Physics
VL - 2-4
SP - 532
EP - 545
PY - 2009
DA - 2009/02
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cicp/7748.html
KW - 
AB - <p style="text-align: justify;">In this work we present a family of relaxation schemes for nonlinear convection diffusion problems, which can tackle also the cases of degenerate diffusion and of convection dominated regimes. The schemes proposed can achieve any order of accuracy, give non-oscillatory solutions even in the presence of singularities and their structure depends only weakly on the particular PDE being integrated. One and two dimensional results are shown, and a nonlinear stability estimate is given.</p>