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- W1968928557 abstract "Abstract In recent years several numerical techniques have been developed for the solution of partial differential equations containing both convective and diffusive terms. One such equation is the convection-diffusion equation and numerical techniques for the solution of this equation are usually based on the finite difference or the finite element methods. It is of great value to know whether a developed numerical scheme predicts accurately the amplitude and phase of a propagating wave or merely approximates the dynamics of the system. For the numerical modeling of the convection-diffusion equation one should investigate not only the efficiency of the numerical model but also its consistency for convergence and stability. The objective of this paper is to present a model for the convection-diffusion equation, which is based on the finite element method, and to address the above points of concern. For the developed model, numerical experimentations are performed to evaluate the error behavior and some criteria are derived for the convergence of the numerical solution. Numerical results, obtained for this study, are based on a linear finite element approximation and the validity of the computational model is verified by the analysis of the model behavior." @default.
- W1968928557 created "2016-06-24" @default.
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- W1968928557 date "1983-02-01" @default.
- W1968928557 modified "2023-10-06" @default.
- W1968928557 title "On error estimates of the numerical solution of the convection-diffusion equation" @default.
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- W1968928557 doi "https://doi.org/10.1016/0378-4754(83)90023-x" @default.
- W1968928557 hasPublicationYear "1983" @default.
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