Optimal collocation applied to a one-dimensional convection-diffusion equation using a hybrid optimization algorithm

Karen L. Ricciardi, Stephen H. Brill & Karen L. Ricciardi
The method of collocation can be used to determine highly accurate solutions to the one-dimensional steady-state convection-diffusion equation (which can be used to model the transport of contaminants dissolved in groundwater). This accuracy is dependent upon sufficient refinement of the finite element mesh as well as applying upstream weighting to the convective term through the determination of collocation locations which meet specified constraints. Due to an increase in computational intensity of the application of the...
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