Mesh Redistribution in Minimizing Strictly Convex Functionals
| Autor: | Ching-Wen Huang, 黃靜雯 |
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| Rok vydání: | 2002 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 90 The goal of this paper is to illustrate the numerical solutions of minimization problems of strictly convex functionals using finite element method to solve the corresponding Euler equation. The Euler equation is linearized by the Newton's method. In order to speed up the efficiency of the rate of convergence, mesh redistribution by grading functions [2] will be considered. Finally, we will compare our results to those of the nonlinear SOR method. Discussions of the capabilities and limitations of the approaches are also provided. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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