Study on Numerical Methods of Minimal Surface Analysis

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Publication year 1993
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Title Study on Numerical Methods of Minimal Surface Analysis
Author Kay ISHIHARA,Hiroshi OHMORI,Takanori YAGI
Summary In the beginning of the design process of the membrane structuresEŒit is recommended to adopt the minimal surface as the original design surface. In the numerical calculation for pursuing the objective minimal surfaceEŒweEŒhoweverEŒcan not always obtain the converged solution because of the strong nonlinearity involved in the problem. In the present paperEŒwe propose the" combined variational functional “which is composed of several different functionals. As a resultEŒwe can obtain the converged solution very easily. AdditionallyEŒthe numerical results obtained by using Ritz's method is also discussed.