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Numerical computation of constant mean curvature surfaces using finite elements

Jan Metzger
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Abstract

This paper presents a method for computing two-dimensional constant mean curvature surfaces. The method in question uses the variational aspect of the problem to implement an efficient algorithm. In principle it is a flow like method in that it is linked to the gradient flow for the area functional, which gives reliable convergence properties. In the background a preconditioned conjugate gradient method works, that gives the speed of a direct elliptic multigrid method.

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Jan Metzger. 2004-08-18. Numerical computation of constant mean curvature surfaces using finite elements. https://doi.org/10.1088/0264-9381%2F21%2F19%2F010

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