A note on discrete solutions of the plateau problem

Mathematics of Computation

Volumn 54, Issue 189, 1990, Pages 131-138

  Tsuchiya, Takuya ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966244200     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1990-0993934-2     Document Type: Article

References (8)

1. P. G. Ciarlet and P. A. Raviart, Maximum principle and uniform convergence for the finite element method, Comput. Methods Appl. Mech. Engrg. 2 (1973), 17-31.
2. R. Courant, Dirkhlet ’s principle, conformai mapping, and minimal surfaces, Interscience, New York, 1950.
3. R. Courant and D. Hubert, Methods of mathematical physics, Vol. 2, Interscience, New York, 1962.
4. H. B. Lawson, Lectures on minimal submanifolds. Vol.1, Publish or Perish, Berkeley, 1980.
5. R. Osserman, A survey of minimal surfaces, 2nd ed., Dover, New York, 1986.
6. T. Tsuchiya, On two methods for approximating minimal surfaces in parametric form, Math. Comp. 46(1986), 517-529.
7. T. Tsuchiya, Discrete solution of the Plateau problem and its convergence, Math. Comp. 49 (1987), 157-165.
8. W. L. Wilson, On discrete Dirkhlet and Plateau problems, Numer. Math. 3 (1961), 359-373.