Minimal Surfaces
G.D. Blokhuis (TU Delft - Applied Sciences)
B. van den Dries – Graduation committee member (TU Delft - Electrical Engineering, Mathematics and Computer Science)
J.M. Thijssen – Graduation committee member (TU Delft - Applied Sciences)
P.M. Visser – Graduation committee member (TU Delft - Electrical Engineering, Mathematics and Computer Science)
S. Stallinga – Graduation committee member (TU Delft - Applied Sciences)
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Abstract
In this report we will consider a method for minimising surfaces with given boundaries, which makes this problem convex and converges without pre-requisite knowledge of the topology of the minimal surface. We will translate the method, which was originally described in the language of differential forms to vector fields. We will also discuss some applications of minimal surfaces.