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Volume 5, Issue 2
A Uniformly Optimal-Order Error Estimate of an ELLAM Scheme for Unsteady-State Advection-Diffusion Equations

Kaixin Wang

Int. J. Numer. Anal. Mod., 5 (2008), pp. 286-302.

Published online: 2008-05

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-286, author = {Wang , Kaixin}, title = {A Uniformly Optimal-Order Error Estimate of an ELLAM Scheme for Unsteady-State Advection-Diffusion Equations}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {2}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/812.html} }
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 -

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.

Wang , Kaixin. (2008). A Uniformly Optimal-Order Error Estimate of an ELLAM Scheme for Unsteady-State Advection-Diffusion Equations. International Journal of Numerical Analysis and Modeling. 5 (2). 286-302. doi:
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