Abstract
We give an algorithm for finding finite element approximations to surfaces of prescribed variable mean curvature, which span a given boundary curve. We work in the parametric setting and prove optimal estimates in the H 1 norm. The estimates are verified computationally.
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Dziuk, G., Hutchinson, J. Finite element approximations to surfaces of prescribed variable mean curvature. Numer. Math. 102, 611–648 (2006). https://doi.org/10.1007/s00211-005-0649-7
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DOI: https://doi.org/10.1007/s00211-005-0649-7