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  Numerical computation of constant mean curvature surfaces using finite elements

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-51F2-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-51F3-4
Genre: Journal Article

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 Creators:
Metzger, Jan1, Author              
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 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.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Published in print
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 21 (19) Sequence Number: - Start / End Page: 4625 - 4646 Identifier: -