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 structuresEŒit is recommended to adopt the minimal surface as the original design surface. In the numerical calculation for pursuing the objective minimal surfaceEŒweEŒhoweverEŒcan not always obtain the converged solution because of the strong nonlinearity involved in the problem. In the present paperEŒwe propose the" combined variational functional “which is composed of several different functionals. As a resultEŒwe can obtain the converged solution very easily. AdditionallyEŒthe numerical results obtained by using Ritz's method is also discussed.