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Volumn 6, Issue 2, 2004, Pages 219-252

The discrete Douglas problem: Theory and numerics

Author keywords

Douglas problem; Finite elements; Minimal surfaces; Order of convergence

Indexed keywords


EID: 3242759059     PISSN: 14639963     EISSN: None     Source Type: Journal    
DOI: 10.4171/IFB/98     Document Type: Article
Times cited : (3)

References (13)
  • 3
    • 0010963249 scopus 로고    scopus 로고
    • On the approximation of unstable parametric minimal surfaces
    • Zbl 0853.65074 MR 96m:49073
    • DZIUK, G. & HUTCHINSON, J. E. On the approximation of unstable parametric minimal surfaces. Calc. Var. Partial Differential Equations 4 (1996), 27-58. Zbl 0853.65074 MR 96m:49073
    • (1996) Calc. Var. Partial Differential Equations , vol.4 , pp. 27-58
    • Dziuk, G.1    Hutchinson, J.E.2
  • 4
    • 0033479821 scopus 로고    scopus 로고
    • The discrete Plateau problem: Algorithm and numerics
    • Zbl 0913.65062 MR 2000a:65144
    • DZIUK, G. & HUTCHINSON, J. E. The discrete Plateau problem: algorithm and numerics. Math. Comp. 68 (1999), 1-23 Zbl 0913.65062 MR 2000a:65144
    • (1999) Math. Comp. , vol.68 , pp. 1-23
    • Dziuk, G.1    Hutchinson, J.E.2
  • 5
    • 0033423654 scopus 로고    scopus 로고
    • The discrete Plateau problem: Convergence results
    • Zbl pre01267673 MR 2000a:65145
    • DZIUK, G. & HUTCHINSON, J. E. The discrete Plateau problem: convergence results. Math. Comp. 68 (1999), 519-546. Zbl pre01267673 MR 2000a:65145
    • (1999) Math. Comp. , vol.68 , pp. 519-546
    • Dziuk, G.1    Hutchinson, J.E.2
  • 7
    • 84961472885 scopus 로고
    • Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds
    • Zbl 0568.49025 MR 87d:58049
    • JOST, J. Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds. J. Reine Angew. Math. 359 (1985), 37-54. Zbl 0568.49025 MR 87d:58049
    • (1985) J. Reine Angew. Math. , vol.359 , pp. 37-54
    • Jost, J.1
  • 8
    • 3242778339 scopus 로고    scopus 로고
    • Minimal surfaces and Teichmueller theory
    • Internat. Press, Cambridge, MA Zbl 0891.53002 MR 99b:32029
    • JOST, J. Minimal surfaces and Teichmueller theory. Tsing Hua Lectures on Geometry & Analysis (Hsinchu, 1990-1991), Internat. Press, Cambridge, MA (1997), 149-211. Zbl 0891.53002 MR 99b:32029
    • (1997) Tsing Hua Lectures on Geometry & Analysis (Hsinchu, 1990-1991) , pp. 149-211
    • Jost, J.1
  • 9
    • 0003942206 scopus 로고
    • Grundlehren Math. Wiss. 199, Springer, Berlin Zbl 0319.53003 MR 56 #6533
    • NITSCHE, J. C. C. Vorlesungen über Minimalflächen. Grundlehren Math. Wiss. 199, Springer, Berlin (1975). Zbl 0319.53003 MR 56 #6533
    • (1975) Vorlesungen Über Minimalflächen
    • Nitsche, J.C.C.1
  • 11
    • 85118286043 scopus 로고    scopus 로고
    • 2-estimate for the discrete Plateau problem
    • to appear
    • 2-estimate for the discrete Plateau problem. Math. Comp., to appear.
    • Math. Comp.
    • Pozzi, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.