TY - JOUR
T1 - A New Stabilized Finite Element Method for Solving the Advection-Diffusion Equations
AU - Duan , Huo-Yuan
JO - Journal of Computational Mathematics
VL - 1
SP - 57
EP - 64
PY - 2002
DA - 2002/02
SN - 20
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8898.html
KW - Advection-diffusion equation, Stabilized finite element method.
AB - <p style="text-align: justify;">This paper is devoted to the development of a new stabilized finite element method for solving the advection-diffusion equations having the form $-\kappa\Delta u+\underline{a}\bullet\underline{\nabla}u+\sigma u=f$ with a zero Dirichlet boundary condition. We show that this methodology is coercive and has a uniformly optimal convergence result for all mesh-Peclet number.</p>