A Uniformly Optimal-Order Error Estimate of an ELLAM Scheme for Unsteady-State Advection-Diffusion Equations
Year: 2008
Author: Kaixin Wang
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 286–302
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-812
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 2 : pp. 286–302
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: characteristic methods Eulerian-Lagrangian methods interpolation of spaces uniform error estimates.