L2-estimate for the discrete plateau problem

Mathematics of Computation

Volumn 73, Issue 248, 2004, Pages 1763-1777

  Pozzi, Paola ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Finite elements; Minimal surfaces; Order of convergence; Plateau Problem

Indexed keywords

EID: 5644227596     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-03-01630-2     Document Type: Article

References (5)

1. G. Dziuk and J. E. Hutchinson, On the Approximation of Unstable Parametric Minimal Surfaces, J. Cale. Var. 4 (1996), 27-58. MR 96m:49073
2. 2 Estimates for Approximations to Minimal Surfaces, Proceedings of the International Conference: Curvature Flows and Related Topics, 67-92, A. Damlamian, J. Spruck and A. Visintin, eds., Gakkotosho, Tokyo, 1995. MR 97g:58042 MR 2000a:65144
3. G. Dziuk and J. E. Hutchinson, The Discrete Plateau Problem: Algorithm and Numerics, Math. Comp. 68 (1999), no. 225, 1-23. MR 2000a:65144
4. G. Dziuk and J. E. Hutchinson, The Discrete Plateau Problem: Convergence Results, Math. Comp. 68 (1999), no. 226, 519-546. MR 2000a:65145
5. G. Dziuk and J. E. Hutchinson, Finite Element Approximations to Surfaces of Prescribed Variable Mean Curvature, preprint.