用双线性插值和Chebyshev多项式计算极小曲面
Numerical Calculation of a Minimal Surface Using Bilinear Interpolations and Chebyshev Polynomials
摘要：
我们计算的最小曲面的四边形的平面上的投影是一个矩形，开始与双线性插值和使用，光滑，切比雪夫多项式展开在我们的离散数值算法，以更接近满足零平均曲率条件。我们报告的双线性和改进的区域的值，建议双线性插值的定量评价。文中还给出了多边形边界Schwarz极小曲面的解析表达式及其三维绘图。
英文摘要：
We 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
