Finite element approximations of minimal surfaces: algorithms and mesh refinement
暂无分享,去创建一个
[2] Gerhard Dziuk,et al. The discrete Plateau Problem: Algorithm and numerics , 1999, Math. Comput..
[3] A. H. Schatz,et al. A weak discrete maximum principle and stability of the finite element method in _{∞} on plane polygonal domains. I , 1980 .
[4] T. Rado. The problem of the least area and the problem of Plateau , 1930 .
[5] Takuya Tsuchiya,et al. Discrete solution of the Plateau problem and its convergence , 1987 .
[6] Takuya Tsuchiya,et al. A note on discrete solutions of the Plateau problem , 1990 .
[7] T. Tsuchiya. FINITE ELEMENT APPROXIMATIONS OF CONFORMAL MAPPINGS , 2000 .
[8] Rüdiger Verfürth,et al. A posteriori error estimation and adaptive mesh-refinement techniques , 1994 .
[9] J. Douglas. Solution of the problem of Plateau , 1931 .
[10] Philippe G. Ciarlet,et al. The finite element method for elliptic problems , 2002, Classics in applied mathematics.
[11] Gerhard Dziuk,et al. The discrete plateau problem: Convergence results , 1999, Math. Comput..
[12] R. Osserman. A survey of minimal surfaces , 1969 .
[13] Takuya Tsuchiya,et al. On two methods for approximating minimal surfaces in parametric form , 1986 .
[14] R. Osserman. DIRICHLET'S PRINCIPLE, CONFORMAL MAPPING AND MINIMAL SURFACES , 1979 .