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Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, May 14, 2010 - 05:00

Location:

Gilkey 113

Local Speaker:

Abstract:

The study of area-minimizing surfaces in 3-space goes back to Euler. Interest in higher dimensions is, of course, more recent. After reviewing some of the history of area-minimizing surfaces in 3-space and some of the resulting examples of minimal surfaces, we will describe some of the difficulties involved in finding area-minimizing hypersurfaces computationally.

The least gradient method is a computational scheme for finding an approximation to a globally area-minimizing oriented hypersurface having a given boundary. The least gradient method avoids the difficulties alluded to above. The trade-off is that to obtain the best results and the best understanding the given boundary curve must lie

on the surface of a convex body.

Examples of applying the least gradient method

will be shown.