Abstract
The reflector antenna design problem requires to solve a second boundary value problem for a complicated Monge-Ampère equation, for which the traditional discretization methods fail. In this paper we reduce the problem to that of finding a minimizer or a maximizer of a linear functional subject to a linear constraint. Therefore it becomes an linear optimization problem and algorithms in linear programming apply.
| Original language | English |
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| Pages (from-to) | 329-341 |
| Number of pages | 13 |
| Journal | Calculus of Variations and Partial Differential Equations |
| Volume | 20 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Jul 2004 |