Computing surface of constant mean curvature with singularities

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1984 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 32, pages 81-92 (issn: 0010-485X, eissn: 1436-5057,

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Authors: Denton E. Hewgill;

doi: 10.1007/bf02243020

Computing surface of constant mean curvature with singularities

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Abstract

A finite element method is presented for the approximation of minimal surfaces with constant mean curvature. The surfaces are composed of several sheets meeting to form a singular curve. The results are compared against examples that have an exact solution.

Related Organizations

University of Victoria
Canada
University of Victoria
Canada

Keywords

singular solutions, Numerical optimization and variational techniques, finite element method, Minimal surfaces and optimization, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, Newton-type methods, minimal surfaces with constant mean curvature

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