An Optimal-Order Error Estimate to the Modified Method of Characteristics for a Degenerate Convection-Diffusion Equation
Year: 2009
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 217–231
Abstract
We prove a priori error estimates in a weighted energy norm to the modified method of characteristics (MMOC) for time-dependent convection-diffusion equations with degenerate diffusion. The convergence rates are independent of the lower bound of the diffusion. In other words, these estimates hold uniformly with respect to the degenerate diffusion.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-764
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 2 : pp. 217–231
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Convergence analysis degenerate convection-diffusion equations Eulerian-Lagrangian methods interpolation of spaces optimal-order estimates.