Numerical Methods for the Isoperimetric Problem on Surfaces
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Date
2022-02
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Publisher
Springer
Abstract
The isoperimetric problem on a surface is to find a sub-surface that has a specified area and the least possible perimeter. We discuss the development of a numerical technique to identify locally minimizing sub-surface for a given surface and area. The numerical technique is applied to some sample surfaces for varying prescribed areas and the results are presented.
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Keywords
Mechanical Engineering, Isoperimetric, Numerical Methods