Numerical computation of constant mean curvature surfaces using finite elements
نویسنده
چکیده
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. PACS numbers: 02.40.Ky,02.60.Lj,02.70.Dh,04.25.Dm Submitted to: Class. Quantum Grav. ‡ The manuscript of this paper was prepared while the author was financed by the Sonderforschungsbereich 382 at the Universität Tübingen. This mansuscript has the preprint number AEI-2004-062. Computation of CMC surfaces 2
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تاریخ انتشار 2004