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An analysis of Galerkin methods for solving transport problems

Overmars, M.G. (2019) An analysis of Galerkin methods for solving transport problems.

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Abstract:An analysis is performed of Galerkin methods for solving a one-dimensinal transport problem. In particular, a discontinuous Galerkin and continuous Petrov-Galerkin method are analyzed and compared. The methods both find a piecewise polynomial as a solution with polynomials of order k. For both methods it is shown that they are strongly A-stable. Furthermore, an error analysis is done in which convergence is shown in both step size and polynomial order. Finally, a numerical analysis is done to compare the results of the analysis to numerical results.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics BSc (56965)
Keywords:Galerkin, DG, Petrov-Galerkin, CPG, Differential equation, ODE, Transport problem
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