Numerical computation of constant mean curvature surfaces using finite elements

Details Numerical computation of constant mean curvature surfaces using finite elements Numerical computation of constant mean curvature surfaces using finite elements

2004-08-18

arxiv.org/abs/gr-qc/0408059v1

Class.Quant.Grav. 21 (2004) 4625-4646

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pagers, 16 figures, 5 tables. To appear in Classical and quantum Gravity. Version with full resolution graphics available a

Scientific paper

10.1088/0264-9381/21/19/010

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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