Numerical Calculation of a Minimal Surface Using Bilinear Interpolations and Chebyshev Polynomials

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dc.creatorFurui, Sadataka
dc.creatorMasud, Bilal
dc.date2006-08-17
dc.date2007-01-10
dc.date.accessioned2026-07-07T07:39:23Z
dc.date.available2026-07-07T07:39:23Z
dc.descriptionWe calculate the minimal surface bounded by four-sided figures whose projection on a plane is a rectangle, starting with the bilinear interpolation and using, for smoothness, the Chebyshev polynomial expansion in our discretized numerical algorithm to get closer to satisfying the zero mean curvature condition. We report values for both the bilinear and improved areas, suggesting a quantitative evaluation of the bilinear interpolation. An analytical expression of the Schwarz minimal surface with polygonal boundaries and its 3-dimensional plot is also given.
dc.description21 pages, 13 figures, An analytical expression of the Schwarz minimal surface with polygonal boundaries and its 3-dimensional plot is added
dc.identifierhttps://arxiv.org/abs/math-ph/0608043
dc.identifierhttp://arxiv.org/abs/math-ph/0608043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121430
dc.subjectMathematical Physics
dc.titleNumerical Calculation of a Minimal Surface Using Bilinear Interpolations and Chebyshev Polynomials
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