Masenge, Ralph Wasili Peter2019-06-062020-01-072019-06-062020-01-071988Masenge, R. W. P. (1988) Finite elements for time-dependent convection-diffusion problems, Doctoral dissertation, University of Dar es Salaam. Available at (http://41.86.178.3/internetserver3.1.2/detail.aspx?)http://localhost:8080/xmlui/handle/123456789/1907Available in print formThis thesis analyses and makes comparison (both theoretical and practical) between a number of numerical methods based on finite elements for solving stationary and time-dependent initial and boundary value problems governed by linear, scalar convection-dominated convection-diffusion equations. We set about achieving our objective by analysing the stability properties of the methods, deriving discretion error estimates and qualitatively assessing the computational complexity of implementing the methods. A number of test problems are presented and solved; the numerical results are discussed, and some specific conclusions are drawn in a concluding chapter.enFinite element methodNumerical analysisTanzaniaThesis