A Uniformly Optimal-Order Error Estimate of an ELLAM Scheme for Unsteady-State Advection-Diffusion Equations

Authors

  • Kaixin Wang

Keywords:

characteristic methods, Eulerian-Lagrangian methods, interpolation of spaces, uniform error estimates.

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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Published

2008-05-01

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Issue

Vol. 5 No. 2 (2008)

Section

Articles