TY - JOUR
T1 - A Uniformly Optimal-Order Error Estimate of an ELLAM Scheme for Unsteady-State Advection-Diffusion Equations
AU - Wang , Kaixin
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 286
EP - 302
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/812.html
KW - characteristic methods, Eulerian-Lagrangian methods, interpolation of spaces, uniform error estimates.
AB - <p style="text-align: justify;">We prove an optimal-order error estimate in a weighted
energy norm for the Eulerian-Lagrangian localized adjoint method (ELLAM)
for unsteady-state advection-diffusion equations with general inflow and
outflow boundary conditions. It is well known that these problems admit
dynamic fronts with interior and boundary layers. The estimate holds
uniformly with respect to the vanishing diffusion coefficient.</p>