Numerical computation of constant mean curvature surfaces using finite elements

Metzger, Jan

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Numerical computation of constant mean curvature surfaces using finite elements

MPS-Authors

/persons/resource/persons20694

Metzger, Jan
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

195080.pdf
(Preprint), 473KB

Supplementary Material (public)

There is no public supplementary material available

Citation

Metzger, J. (2004). Numerical computation of constant mean curvature surfaces using finite elements. Classical and Quantum Gravity, 21(19), 4625-4646. Retrieved from http://www.iop.org/EJ/abstract/0264-9381/21/19/010.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-51F2-6

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.