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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 |
| Link to this item: | https://purl.utwente.nl/essays/78848 |
| Export this item as: | BibTeX EndNote HTML Citation Reference Manager |
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